- Access by Xinjiang University
Optoelectronic oscillators with time-delayed feedback
Rev. Mod. Phys. 91, 035006 – Published 25 September, 2019
DOI: https://doi.org/10.1103/RevModPhys.91.035006
Abstract
Time-delayed optoelectronic oscillators are at the center of a large body of scientific literature. The complex behavior of these nonlinear oscillators has been thoroughly explored both theoretically and experimentally, leading to a better understanding of their dynamical properties. Beyond fundamental research, these systems have also inspired a wide and diverse set of applications, such as optical chaos communications, pseudorandom number generation, optoelectronic machine learning based on reservoir computing, ultrapure microwave generation, optical pulse-train synthesis, and sensing. The aim of this review is to provide a comprehensive survey of this field, to outline the latest achievements, and discuss the main challenges ahead.
Physics Subject Headings (PhySH)
Article Text
References (485)
- Abarbanel, H. D. I., M. B. Kennel, L. Illing, S. Tang, H. F. Chen, and J. M. Liu, 2001, “Synchronization and communication using semiconductor lasers with optoelectronic feedback,” IEEE J. Quantum Electron. 37, 1301–1311.
- Abraham, E., and S. D. Smith, 1982, “Optical bistability and related devices,” Rep. Prog. Phys. 45, 815–885.
- Ai, J., L. Wang, and J. Wang, 2017, “Secure communications of CAP-4 and OOK signals over MMF based on electro-optic chaos,” Opt. Lett. 42, 3662–3665.
- Antonik, P., F. Duport, M. Hermans, A. Smerieri, M. Haelterman, and S. Massar, 2017, “Online training of an opto-electronic reservoir computer applied to real-time channel equalization,” IEEE Trans. Neural Netw. Learn. Syst. 28, 2686–2698.
- Antonik, P., M. Haelterman, and S. Massar, 2017, “Brain-inspired photonic signal processor for generating periodic patterns and emulating chaotic systems,” Phys. Rev. Applied 7, 054014.
- Appeltant, L., M. C. Soriano, G. Van der Sande, J. Danckaert, S. Massar, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, 2011, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2, 468.
- Arecchi, F. T., G. Giacomelli, A. Lapucci, and R. Meucci, 1992, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45, R4225–R4228.
- Arecchi, F. T., G. L. Lippi, G. P. Puccioni, and J. R. Tredicce, 1984, “Deterministic chaos in laser with injected signal,” Opt. Commun. 51, 308–314.
- Argyris, A., D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, 2005, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature (London) 438, 343–346.
- Bagnell, M., J. Davila-Rodriguez, and P. J. Delfyett, 2014, “Millimeter-wave generation in an optoelectronic oscillator using an ultrahigh finesse etalon as a photonic filter,” J. Lightwave Technol. 32, 1063–1067.
- Banerjee, A., L. A. D. de Britto, and G. M. Pacheco, 2019, “Analysis of injection locking and pulling in single-loop optoelectronic oscillator,” IEEE Trans. Microwave Theory Tech. 67, 2087–2094.
- Banerjee, A., J. Sarkar, N. Das, and B. Biswas, 2018, “Phase-locking dynamics in optoelectronic oscillator,” Opt. Commun. 414, 119–127.
- Bánky, T., B. Horváth, and T. Berceli, 2006, “Optimum configuration of multiloop optoelectronic oscillators,” J. Opt. Soc. Am. B 23, 1371.
- Bao, Y., E. Banyas, and L. Illing, 2018, “Periodic and quasiperiodic dynamics of optoelectronic oscillators with narrow-band time-delayed feedback,” Phys. Rev. E 98, 062207.
- Beck, G., L. Bigot, G. Bouwmans, A. Kudlinski, J. P. Vilcot, and M. Douay, 2012, “Benefits of photonic bandgap fibers for the thermal stabilization of optoelectronic oscillators,” IEEE Photonics J. 4, 789–794.
- Blakely, J. N., L. Illing, and D. J. Gauthier, 2004, “High-speed chaos in an optical feedback system with flexible timescales,” IEEE J. Quantum Electron. 40, 299–305.
- Bluestone, A., D. T. Spencer, S. Srinivasan, D. Guerra, J. E. Bowers, and L. Theogarajan, 2015, “An ultra-low phase-noise 20-ghz PLL utilizing an optoelectronic voltage-controlled oscillator,” IEEE Trans. Microwave Theory Tech. 63, 1046–1052.
- Bogataj, L., M. Vidmar, and B. Batagelj, 2016, “Opto-electronic oscillator with quality multiplier,” IEEE Trans. Microwave Theory Tech. 64, 663–668.
- Bogris, A., A. Argyris, and D. Syvridis, 2007, “Analysis of the optical amplifier noise effect on electrooptically generated hyperchaos,” IEEE J. Quantum Electron. 43, 552–559.
- Bonifacio, R., and L. A. Lugiato, 1978a, “Bistable absorption in a ring cavity,” Lett. Nuovo Cimento 21, 505–509.
- Bonifacio, R., and L. A. Lugiato, 1978b, “Instabilities for a coherently driven absorber in a ring cavity,” Lett. Nuovo Cimento 21, 510–516.
- Brunner, D., B. Penkovsky, B. A. Marquez, M. Jacquot, I. Fischer, and L. Larger, 2018, “Tutorial: Photonic neural networks in delay systems,” J. Appl. Phys. 124, 152004.
- Brunner, D., M. C. Soriano, C. R. Mirasso, and I. Fischer, 2013, “Parallel photonic information processing at gigabyte per second data rates using transient states,” Nat. Commun. 4, 1364.
- Cahill, J. P., O. Okusaga, W. Zhou, C. R. Menyuk, and G. M. Carter, 2015, “Superlinear growth of Rayleigh scattering-induced intensity noise in single-mode fibers,” Opt. Express 23, 6400–6407.
- Cai, S., S. Pan, D. Zhu, Z. Tang, P. Zhou, and X. Chen, 2012, “Coupled frequency-doubling optoelectronic oscillator based on polarization modulation and polarization multiplexing,” Opt. Commun. 285, 1140–1143.
- Callan, K. E., L. Illing, Z. Gao, D. J. Gauthier, and E. Schöll, 2010, “Broadband chaos generated by an optoelectronic oscillator,” Phys. Rev. Lett. 104, 113901.
- Chan, S.-C., G.-Q. Xia, and J.-M. Liu, 2007, “Optical generation of a precise microwave frequency comb by harmonic frequency locking,” Opt. Lett. 32, 1917–1919.
- Chang, D. H., H. R. Fetterman, H. Erlig, H. Zhang, A. C. Oh, C. Zhang, and W. H. Steier, 2002, “39-GHz optoelectronic oscillator using broad-band polymer electrooptic modulator,” IEEE Photonics Technol. Lett. 14, 191–193.
- Charalambous, G., G. K. M. Hasanuzzaman, A. Perentos, and S. Iezekiel, 2017, “High-Q wavelength division multiplexed optoelectronic oscillator based on a cascaded multi-loop topology,” Opt. Commun. 387, 361–365.
- Charalambous, G., A. Perentos, and S. Iezekiel, 2016, “High-Q optoelectronic oscillator based on active recirculating delay line and dual-loop topology,” IEEE Photonics Technol. Lett. 28, 2850–2853.
- Chembo, Y. K., 2016, “Kerr optical frequency combs: Theory, applications and perspectives,” Nanophotonics 5, 214–230.
- Chembo, Y. K., 2017, “Laser-based optoelectronic generation of narrowband microwave chaos for radars and radio-communication scrambling,” Opt. Lett. 42, 3431–3434.
- Chembo, Y. K., A. Hmima, P.-A. Lacourt, L. Larger, and J. M. Dudley, 2009, “Generation of ultralow jitter optical pulses using optoelectronic oscillators with time-lens soliton-assisted compression,” J. Lightwave Technol. 27, 5160–5167.
- Chembo, Y. K., M. Jacquot, J. M. Dudley, and L. Larger, 2016, “Ikeda-like chaos on a dynamically filtered supercontinuum light source,” Phys. Rev. A 94, 023847.
- Chembo, Y. K., L. Larger, R. Bendoula, and P. Colet, 2008, “Effects of gain and bandwidth on the multimode behavior of optoelectronic microwave oscillators,” Opt. Express 16, 9067–9072.
- Chembo, Y. K., L. Larger, and P. Colet, 2008, “Nonlinear dynamics and spectral stability of optoelectronic microwave oscillators,” IEEE J. Quantum Electron. 44, 858–866.
- Chembo, Y. K., L. Larger, H. Tavernier, R. Bendoula, E. Rubiola, and P. Colet, 2007, “Dynamic instabilities of microwaves generated with optoelectronic oscillators,” Opt. Lett. 32, 2571–2573.
- Chembo, Y. K., K. Volyanskiy, L. Larger, E. Rubiola, and P. Colet, 2009, “Determination of phase noise spectra in optoelectronic microwave oscillators: A Langevin approach,” IEEE J. Quantum Electron. 45, 178–186.
- Chen, G., D. Lu, L. Guo, W. Zhao, Y. Huang, and L. Zhao, 2018, “Frequency-tunable OEO using a DFB laser at period-one oscillations with optoelectronic feedback,” IEEE Photonics Technol. Lett. 30, 1593–1596.
- Chen, G., D. Lu, L. Guo, W. Zhao, Y. Huang, and L. Zhao, 2019, “Optoelectronic oscillation of the second harmonic of a period-one oscillating distributed feedback laser,” Optik (Stuttgart) 180, 313–317.
- Chen, J., Y. Zheng, C. Xue, C. Zhang, and Y. Chen, 2018, “Filtering effect of optical waveguide ring resonator applied to optoelectronic oscillator,” Opt. Express 26, 12638–12647.
- Chen, J.-J., Z.-M. Wu, T. Deng, X. Tang, X. Yang, and G.-Q. Xia, 2017, “Current- and feedback-induced state bistability in a 1550 nm-VCSEL with negative optoelectronic feedback,” IEEE Photonics J. 9, 1500310.
- Chen, Y., W. Li, and A. Wen, 2013, “Frequency-multiplying optoelectronic oscillator with a tunable multiplication factor,” IEEE Trans. Microwave Theory Tech. 61, 3479–3485.
- Chen, Y., S. Liu, and S. Pan, 2018, “Multi-format signal generation using a frequency-tunable optoelectronic oscillator,” Opt. Express 26, 4933–4941.
- Chen, Z., J. Dai, Y. Zhou, F. Yin, T. Zhang, J. Li, Y. Dai, and K. Xu, 2017, “Triple band frequency generator based on an optoelectronic oscillator with low phase noise,” Opt. Express 25, 20749–20756.
- Cheng, M., L. Deng, X. Gao, H. Li, M. Tang, S. Fu, P. Shum, and D. Liu, 2015, “Security-enhanced OFDM-PON using hybrid chaotic system,” IEEE Photonics Technol. Lett. 27, 326–329.
- Cheng, M., L. Deng, H. Li, and D. Liu, 2014, “Enhanced secure strategy for electro-optic chaotic systems with delayed dynamics by using fractional fourier transformation,” Opt. Express 22, 5241–5251.
- Chengui, G. R. G., A. F. Talla, J. H. Talla Mbé, A. Coillet, K. Saleh, L. Larger, P. Woafo, and Y. K. Chembo, 2014, “Theoretical and experimental study of slow-scale Hopf limit-cycles in laser-based wideband optoelectronic oscillators,” J. Opt. Soc. Am. B 31, 2310–2316.
- Chengui, G. R. G., J. H. Talla Mbé, A. F. Talla, P. Woafo, and Y. K. Chembo, 2018, “Dynamics of optoelectronic oscillators with electronic and laser nonlinearities,” IEEE J. Quantum Electron. 54, 5000207.
- Chengui, G. R. G., P. Woafo, and Y. K. Chembo, 2016, “The simplest laser-based optoelectronic oscillator: An experimental and theoretical study,” J. Lightwave Technol. 34, 873–878.
- Chew, S. X., X. Yi, W. Yang, C. Wu, L. Li, L. Nguyen, and R. Minasian, 2017, “Optoelectronic oscillator based sensor using an on-chip sensing probe,” IEEE Photonics J. 9, 5500809.
- Chi, Y.-C., P.-C. Peng, and G.-Ru Lin, 2011, “Clock-free RZ-BPSK data generation using self-starting optoelectronic oscillator,” J. Lightwave Technol. 29, 1702.
- Chiang, H.-P., C.-H. Huang, C.-Y. Cheng, and D.-W. Huang, 2002, “Chaos in wavelength of tunable semiconductor laser diode with time-delayed Fabry-Perot feedback,” Electron. Lett. 38, 1440–1441.
- Chiarello, F., L. Ursini, and M. Santagiustina, 2011, “Securing wireless infrared communications through optical chaos,” IEEE Photonics Technol. Lett. 23, 564–566.
- Chiasera, A., Y. Dumeige, P. Feron, M. Ferrari, Y. Jestin, G. Nunzi Conti, S. Pelli, S. Soria, and G. C. Righini, 2010, “Spherical whispering-gallery-mode microresonators,” Laser Photonics Rev. 4, 457–482.
- Cho, J.-H., and H.-K. Sung, 2012, “Simple optoelectronic oscillators using direct modulation of dual-section distributed feedback lasers,” IEEE Photonics Technol. Lett. 24, 2172–2174.
- Cohen, A. B., B. Ravoori, T. E. Murphy, and R. Roy, 2008, “Using synchronization for prediction of high-dimensional chaotic dynamics,” Phys. Rev. Lett. 101, 154102.
- Coillet, A., R. Henriet, P. Salzenstein, K. P. Huy, L. Larger, and Y. K. Chembo, 2013, “Time-domain dynamics and stability analysis of optoelectronic oscillators based on whispering-gallery mode resonators,” IEEE J. Sel. Top. Quantum Electron. 19, 1–12.
- Colet, P., and R. Roy, 1994, “Digital communication with synchronized chaotic lasers,” Opt. Lett. 19, 2056–2058.
- Courtial, J., J. Leach, and M. J. Padgett, 2001, “Fractals in pixellated video feedback,” Nature (London) 414, 864.
- Crutchfield, J. P., 1984, “Space-time dynamics in video feedback,” Physica D (Amsterdam) 10, 229–245.
- Crutchfield, J. P., 1988, “Spatio-temporal complexity in nonlinear image processing,” IEEE Trans. Circuit Syst. 35, 770–780.
- Cuenot, J.-B., L. Larger, J.-P. Goedgebuer, and W. T. Rhodes, 2001, “Chaos shift keying with an optoelectronic encryption system using chaos in wavelength,” IEEE J. Quantum Electron. 37, 849–855.
- Cui, P., L. Yang, Y. Guo, J. Lin, Y. Liu, and J. Zhu, 2018, “Absolute distance measurement using an optical comb and an optoelectronic oscillator,” IEEE Photonics Technol. Lett. 30, 744–747.
- Cuomo, K. M., and A. V. Oppenheim, 1993, “Circuit implementation of synchronized chaos with applications to communications,” Phys. Rev. Lett. 71, 65–68.
- Dahan, D., E. Shumakher, and G. Eisenstein, 2005, “Self-starting ultralow-jitter pulse source based on coupled optoelectronic oscillators with an intracavity fiber parametric amplifier,” Opt. Lett. 30, 1623.
- Dai, J., A. Liu, J. Liu, T. Zhang, Y. Zhou, F. Yin, Y. Dai, Y. Liu, and K. Xu, 2017, “Supermode noise suppression with mutual injection locking for coupled optoelectronic oscillator,” Opt. Express 25, 27060–27066.
- Dai, J., Z. Zhao, Y. Zeng, J. Liu, A. Liu, T. Zhang, F. Yin, Y. Zhou, Y. Liu, and K. Xu, 2018, “Stabilized optoelectronic oscillator with enlarged frequency-drift compensation range,” IEEE Photonics Technol. Lett. 30, 1289–1292.
- Dai, Y., R. Wang, F. Yin, J. Dai, L. Yu, J. Li, and K. Xu, 2015, “Sidemode suppression for coupled optoelectronic oscillator by optical pulse power feedforward,” Opt. Express 23, 27589.
- Damen, T. C., and M. A. Duguay, 1980, “Optoelectronic regenerative pulser,” Electron. Lett. 16, 166–167.
- Davidson, T., P. Goldgeier, G. Eisenstein, and M. Orenstein, 1999, “High spectral purity CW oscillation and pulse generation in optoelectronic microwave oscillator,” Electron. Lett. 35, 1260–1261.
- Deng, H., J. Zhang, X. Chen, and J. Yao, 2017, “Photonic generation of a phase-coded chirp microwave waveform with increased TBWP,” IEEE Photonics Technol. Lett. 29, 1420–1423.
- Deng, T., G.-Q. Xia, L.-P. Cao, J.-G. Chen, X.-D. Lin, and Z.-M. Wu, 2009, “Bidirectional chaos synchronization and communication in semiconductor lasers with optoelectronic feedback,” Opt. Commun. 282, 2243–2249.
- Devgan, P., 2013, “A review of optoelectronic oscillators for high speed signal processing applications,” ISRN Electron. 2013, 401969.
- Devgan, P., D. Serkland, G. Keeler, K. Geib, and P. Kumar, 2006, “An optoelectronic oscillator using an 850-nm VCSEL for generating low jitter optical pulses,” IEEE Photonics Technol. Lett. 18, 685–687.
- Devgan, P. S., M. W. Pruessner, V. J. Urick, and K. J. Williams, 2010, “Detecting low-power RF signals using a multimode optoelectronic oscillator and integrated optical filter,” IEEE Photonics Technol. Lett. 22, 152–154.
- Devgan, P. S., V. J. Urick, J. F. Diehl, and K. J. Williams, 2009, “Improvement in the phase noise of a 10 GHz optoelectronic oscillator using all-photonic gain,” J. Lightwave Technol. 27, 3189–3193.
- Docherty, A., C. R. Menyuk, J. P. Cahill, O. Okusaga, and W. Zhou, 2013, “Rayleigh-scattering-induced RIN and amplitude-to-phase conversion as a source of length-dependent phase noise in OEOs,” IEEE Photonics J. 5, 5500514.
- Dorizzi, B., B. Grammaticos, M. Le Berre, Y. Pomeau, E. Ressayre, and A. Tallet, 1987, “Statistics and dimension of chaos in differential delay systems,” Phys. Rev. A 35, 328–339.
- Drzewietzki, L., S. Breuer, and W. Elsasser, 2013, “Timing phase noise reduction of modelocked quantum-dot lasers by time-delayed optoelectronic feedback,” Electron. Lett. 49, 557–559.
- Duport, F., A. Smerieri, A. Akrout, M. Haelterman, and S. Massar, 2016a, “Fully analogue photonic reservoir computer,” Sci. Rep. 6, 22381.
- Duport, F., A. Smerieri, A. Akrout, M. Haelterman, and S. Massar, 2016b, “Virtualization of a photonic reservoir computer,” J. Lightwave Technol. 34, 2085–2091.
- Eliyahu, D., W. Liang, E. Dale, A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, D. Seidel, and L. Maleki, 2013, “Resonant widely tunable opto-electronic oscillator,” IEEE Photonics Technol. Lett. 25, 1535–1538.
- Eliyahu, D., D. Seidel, and L. Maleki, 2008, “Phase noise of a high performance OEO and an ultra low noise floor cross-correlation microwave photonic homodyne system,” 2008 IEEE International Frequency Control Symposium, pp. 811–814 [https://ieeexplore.ieee.org/document/4623111].
- Elsonbaty, A., S. F. Hegazy, and S. S. A. Obayya, 2015, “Simultaneous suppression of time-delay signature in intensity and phase of dual-channel chaos communication,” IEEE J. Quantum Electron. 51, 2400309.
- Erneux, T., 2009, Applied Delay Differential Equations (Springer, New York).
- Erneux, T., L. Larger, M. W. Lee, and J.-P. Goedgebuer, 2004, “Ikeda Hopf bifurcation revisited,” Physica D (Amsterdam) 194, 49–64.
- Essevaz-Roulet, B., P. Petitjeans, M. Rosen, and J. E. Wesfreid, 2000, “Farey sequences of spatiotemporal patterns in video feedback,” Phys. Rev. E 61, 3743–3749.
- Fan, Z., Q. Qiu, J. Su, and T. Zhang, 2019, “Tunable low-drift spurious-free optoelectronic oscillator based on injection locking and time delay compensation,” Opt. Lett. 44, 534–537.
- Fan, Z., J. Su, T. Zhang, N. Yang, and Q. Qiu, 2017, “High-precision thermal-insensitive strain sensor based on optoelectronic oscillator,” Opt. Express 25, 27037–27050.
- Fang, X., B. Wetzel, J.-M. Merolla, J. M. Dudley, L. Larger, C. Guyeux, and J. M. Bahi, 2014, “Noise and chaos contributions in fast random bit sequence generated from broadband optoelectronic entropy sources,” IEEE Trans. Circuits Syst. I 61, 888–901.
- Farhat, N. H., D. Psaltis, A. Prata, and E. Paek, 1985, “Optical implementation of the Hopfield model,” Appl. Opt. 24, 1469–1475.
- Fedderwitz, S., A. Stöhr, S. Babiel, V. Rymanov, and D. Jager, 2010, “Optoelectronic K-band oscillator with gigahertz tuning range and low phase noise,” IEEE Photonics Technol. Lett. 22, 1497–1499.
- Feigenbaum, M. J., 1980, “Universal behavior in nonlinear systems,” Los Alamos Sci., 4–27 [https://lib-www.lanl.gov/lascience01.shtml].
- Feldman, A., 1978, “Ultralinear bistable electro-optic polarization modulator,” Appl. Phys. Lett. 33, 243–245.
- Fleyer, M., and M. Horowitz, 2018, “Phase measurement by using a forced delay-line oscillator and its application for an acoustic fiber sensor,” Opt. Express 26, 9107–9133.
- Fleyer, M., A. Sherman, M. Horowitz, and M. Namer, 2016, “Wideband-frequency tunable optoelectronic oscillator based on injection locking to an electronic oscillator,” Opt. Lett. 41, 1993–1996.
- Fortier, T. M., et al., 2011, “Generation of ultrastable microwaves via optical frequency division,” Nat. Photonics 5, 425–429.
- Fu, R., X. Jin, Y. Zhu, X. Jin, X. Yu, S. Zheng, H. Chi, and X. Zhang, 2017, “Frequency stability optimization of an OEO using phase-locked-loop and self-injection-locking,” Opt. Commun. 386, 27–30.
- Galmès, B., K. Phan-Huy, L. Furfaro, Y. K. Chembo, and J.-M. Merolla, 2019, “Nine-frequency-path quantum interferometry over 60 km of optical fiber,” Phys. Rev. A 99, 033805.
- Gao, B., F. Zhang, P. Zhou, and S. Pan, 2017, “A frequency-tunable two-tone RF signal generator by polarization multiplexed optoelectronic oscillator,” IEEE Microwave Wireless Compon. Lett. 27, 192–194.
- Gao, L., M. Wang, X. Chen, and J. Yao, 2013, “Frequency- and phase-tunable optoelectronic oscillator,” IEEE Photonics Technol. Lett. 25, 1011–1013.
- Gao, X., F. Xie, and H. Hu, 2015, “Enhancing the security of electro-optic delayed chaotic system with intermittent time-delay modulation and digital chaos,” Opt. Commun. 352, 77–83.
- García, S., and I. Gasulla, 2015, “Multi-cavity optoelectronic oscillators using multicore fibers,” Opt. Express 23, 2403.
- Garmire, E., S. D. Allen, J. Marburger, and C. M. Verber, 1978, “Multimode integrated optical bistable switch,” Opt. Lett. 3, 69–71.
- Garmire, E., J. H. Marburger, and S. D. Allen, 1978, “Incoherent mirrorless bistable optical devices,” Appl. Phys. Lett. 32, 320–321.
- Garmire, E., J. H. Marburger, S. D. Allen, and H. G. Winful, 1979, “Transient response of hybrid bistable optical devices,” Appl. Phys. Lett. 34, 374–376.
- Gastaud, N., S. Poinsot, L. Larger, J.-M. Merolla, M. Hanna, J.-P. Goedgebuer, and F. Malassenet, 2004, “Electro-optical chaos for multi- optical transmissions,” Electron. Lett. 40, 898–899.
- Genin, E., L. Larger, J.-P. Goedgebuer, M. W. Lee, R. Ferrière, and X. Bavard, 2004, “Chaotic oscillations of the optical phase for multigigahertz-bandwidth secure communications,” IEEE J. Quantum Electron. 40, 294–298.
- Giacomelli, G., M. Calzavara, and F. T. Arecchi, 1989, “Instabilities in a semiconductor laser with delayed optoelectronic feedback,” Opt. Commun. 74, 97–101.
- Gibbs, H. M., F. A. Hopf, D. L. Kaplan, and R. L. Shoemaker, 1981, “Observation of chaos in optical bistability,” Phys. Rev. Lett. 46, 474–477.
- Goedgebuer, J.-P., L. Larger, and H. Porte, 1998, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80, 2249–2252.
- Goedgebuer, J.-P., L. Larger, H. Porte, and F. Delorme, 1998, “Chaos in wavelength with a feedback tunable laser diode,” Phys. Rev. E 57, 2795–2798.
- Goedgebuer, J.-P., P. Levy, L. Larger, C.-C. Chen, and W. T. Rhodes, 2002, “Optical communication with synchronized hyperchaos generated electrooptically,” IEEE J. Quantum Electron. 38, 1178–1183.
- Grapinet, M., V. Udaltsov, M. Jacquot, P.-A. Lacourt, J. M. Dudley, and L. Larger, 2008a, “Experimental chaotic map generated by picosecond laser pulse-seeded electro-optic nonlinear delay dynamics,” Chaos 18, 013110.
- Grapinet, M., V. Udaltsov, M. Jacquot, P.-A. Lacourt, J. M. Dudley, and L. Larger, 2008b, “Synchronisation and communication with regularly clocked optoelectronic discrete time chaos,” Electron. Lett. 44, 764–766.
- Grigorieva, E. V., H. Haken, and S. A. Kaschenko, 1999, “Theory of quasiperiodicity in model of lasers with delayed optoelectronic feedback,” Opt. Commun. 165, 279–292.
- Grigor’yants, V. V., A. A. Dvornikov, Y. B. Il’in, V. N. Konstantinov, V. A. Prokof’iev, and G. M. Utkin, 1985, “A laser diode with feedback using a fibre delay line as a stable-frequency signal generator and potential fibre sensor,” Opt. Quantum Electron. 17, 263–267.
- Hagerstrom, A. M., T. E. Murphy, and R. Roy, 2015, “Harvesting entropy and quantifying the transition from noise to chaos in a photon-counting feedback loop,” Proc. Natl. Acad. Sci. U.S.A. 112, 9258–9263.
- Hagerstrom, A. M., T. E. Murphy, R. Roy, P. Hövel, I. Omelchenko, and E. Schöll, 2012, “Experimental observation of chimeras in coupled-map lattices,” Nat. Phys. 8, 658–661.
- Han, X., L. Ma, Y. Shao, Q. Ye, Y. Gu, and M. Zhao, 2017, “Polarization multiplexed dual-loop optoelectronic oscillator based on stimulated Brillouin scattering,” Opt. Commun. 383, 138–143.
- Hao, T., Q. Cen, Y. Dai, J. Tang, W. Li, J. Yao, N. Zhu, and M. Li, 2018, “Breaking the limitation of mode building time in an optoelectronic oscillator,” Nat. Commun. 9, 1839.
- Hao, T., J. Tang, D. Domenech, W. Li, N. Zhu, J. Capmany, and M. Li, 2018, “Toward monolithic integration of OEOs: From systems to chips,” J. Lightwave Technol. 36, 4565–4582.
- Hart, J. D., D. C. Schmadel, T. E. Murphy, and R. Roy, 2017, “Experiments with arbitrary networks in time-multiplexed delay systems,” Chaos 27, 121103.
- Hart, J. D., Y. Zhang, R. Roy, and A. E. Motter, 2019, “Topological control of synchronization patterns: Trading symmetry for stability,” Phys. Rev. Lett. 122, 058301.
- Hasegawa, H., Y. Oikawa, and M. Nakazawa, 2007, “A 10-GHz optoelectronic oscillator at 850 nm using a single-mode VCSEL and a photonic crystal fiber,” IEEE Photonics Technol. Lett. 19, 1451–1453.
- Häusler, G., G. Seckmeyer, and T. Weiss, 1986, “Chaos and cooperation in nonlinear pictorial feedback systems. 1: Experiments,” Appl. Opt. 25, 4656–4663.
- Häusler, G., and M. Simon, 1978, “Generation of space and time picture oscillations by active incoherent feedback,” Opt. Acta 25, 327–336.
- Hayasaki, Y., E. Hikosaka, H. Yamamoto, and N. Nishida, 2005, “Optical image processing using an optoelectronic feedback system with electronic distortion correction,” Opt. Express 13, 4657–4665.
- Hermans, M., P. Antonik, M. Haelterman, and S. Massar, 2016, “Embodiment of learning in electro-optical signal processors,” Phys. Rev. Lett. 117, 128301.
- Hizanidis, J., S. Deligiannidis, A. Bogris, and D. Syvridis, 2010, “Enhancement of chaos encryption potential by combining all-optical and electrooptical chaos generators,” IEEE J. Quantum Electron. 46, 1642–1649.
- Hong, J., W. He, S. Yao, X. Wang, Z. Hu, and Z. Li, 2016, “New structure for high-performance opto-electronic oscillator,” Optik 127, 8431–8435.
- Hosseini, S. E., A. Banai, and F. X. Kartner, 2017, “Tunable low-jitter low-drift spurious-free transposed-frequency optoelectronic oscillator,” IEEE Trans. Microw. Theory Techn. 65, 2625–2635.
- Hu, G., Y. Zhang, H. A. Cerdeira, and S. Chen, 2000, “From low-dimensional synchronous chaos to high-dimensional desynchronous spatiotemporal chaos in coupled systems,” Phys. Rev. Lett. 85, 3377–3380.
- Hu, H., S. Shi, and F. Xie, 2017, “Electro-optic intensity chaotic system with an extra optical feedback,” Opt. Commun. 402, 140–146.
- Hu, H., W. Su, L. Liu, and Z. Yu, 2014, “Electro-optic intensity chaotic system with varying parameters,” Phys. Lett. A 378, 184–190.
- Huang, L., D. Chen, P. Wang, T. Zhang, P. Xiang, Y. Zhang, T. Pu, and X. Chen, 2015, “Generation of triangular pulses based on an optoelectronic oscillator,” IEEE Photonics Technol. Lett. 27, 2500–2503.
- Huang, L., et al., 2017, “Novel dual-loop optoelectronic oscillator based on self-polarization-stabilization technique,” Opt. Express 25, 21993–22003.
- Huang, N., M. Li, Y. Deng, and N. H. Zhu, 2014, “Optical pulse generation based on an optoelectronic oscillator with cascaded nonlinear semiconductor optical amplifiers,” IEEE Photonics J. 6, 5500208.
- Huang, Y., H. Hu, F. Xie, and J. Zheng, 2018, “An innovative electro-optical chaotic system using electrical mutual injection with nonlinear transmission function,” IEEE Photonics J. 10, 7900112.
- Huggett, G. R., 1968, “Modelocking of CW lasers by regenerative RF feedback,” Appl. Phys. Lett. 13, 186–187.
- Huo, L., Y. Dong, C. Lou, and Y. Z. Gao, 2003, “Clock extraction using an optoelectronic oscillator from high-speed NRZ signal and NRZ-to-RZ format transformation,” IEEE Photonics Technol. Lett. 15, 981–983.
- Ikeda, K., 1979, “Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system,” Opt. Commun. 30, 257–261.
- Ikeda, K., H. Daido, and O. Akimoto, 1980, “Optical turbulence: chaotic behavior of transmitted light from a ring cavity,” Phys. Rev. Lett. 45, 709–712.
- Illing, L., and D. J. Gauthier, 2005, “Hopf bifurcations in time-delay systems with band-limited feedback,” Physica D (Amsterdam) 210, 180–202.
- Illing, L., C. D. Panda, and L. Shareshian, 2011, “Isochronal chaos synchronization of delay-coupled optoelectronic oscillators,” Phys. Rev. E 84, 016213.
- Ito, H., Y. Ogawa, and H. Inaba, 1979, “Integrated bistable optical device using Mach-Zehnder interferometric optical waveguide,” Electron. Lett. 15, 283–285.
- Ito, H., Y. Ogawa, and H. Inaba, 1981, “Analyses and experiments on integrated optical multivibrators using electrooptically controlled bistable optical devices,” IEEE J. Quantum Electron. 17, 325–331.
- Ivanov, E. N., and M. E. Tobar, 2009, “Low phase-noise sapphire crystal microwave oscillators: Current status,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 56, 263–269.
- Jaeger, H., and H. Haas, 2004, “Harnessing nonlinearity: Predicting chaotic systems and saving energy in wireless communication,” Science 304, 78–80.
- Jahanbakht, S., and S. E. Hosseini, 2016, “Frequency domain noise analysis of optoelectronic oscillators considering the nonlinearity of the RF amplifier,” J. Opt. Soc. Am. B 33, 548–557.
- Ji, Y., X. S. Yao, and L. Maleki, 1999, “Compact optoelectronic oscillator with ultra-low phase noise performance,” Electron. Lett. 35, 1554–1555.
- Jia, S., J. Yu, J. Wang, W. Wang, Q. Wu, G. Huang, and E. Yang, 2015, “A novel optoelectronic oscillator based on wavelength multiplexing,” IEEE Photonics Technol. Lett. 27, 213–216.
- Jia, S., J. Yu, Z. Wang, J. Wang, W. Wang, B. Chen, and Y. Yu, 2015, “A novel highly stable dual-wavelength short optical pulse source based on a dual-loop optoelectronic oscillator with two wavelengths,” IEEE Photonics J. 7, 1502611.
- Jiang, F., J. H. Wong, H. Q. Lam, J. Zhou, S. Aditya, P. H. Lim, K. E. K. Lee, P. P. Shum, and X. Zhang, 2013, “An optically tunable wideband optoelectronic oscillator based on a bandpass microwave photonic filter,” Opt. Express 21, 16381–16389.
- Jiang, Y., G. Bai, L. Hu, H. Li, Z. Zhou, J. Xu, and S. Wang, 2013, “Frequency locked single-mode optoelectronic oscillator by using low frequency RF signal injection,” IEEE Photonics Technol. Lett. 25, 382–384.
- Jiang, Y., J.-L. Yu, H. Hu, W.-R. Wang, Y.-T. Wang, and E.-Z. Yang, 2007, “Phase-modulator-based optoelectronic oscillator for generating short optical pulse and microwave signal,” Opt. Eng. (N.Y.) 46, 090502.
- Jin, X., M. Wang, K. Wang, Y. Dong, and L. Yu, 2019, “High spectral purity electromagnetically induced transparency-based microwave optoelectronic oscillator with a quasi-cylindrical microcavity,” Opt. Express 27, 150–165.
- Jin, X., Y. Zhu, J. Guo, X. Jin, X. Yu, S. Zheng, H. Chi, and X. Zhang, 2017, “Highly sensitive demodulation of a vibration-induced phase shift based on a low-noise OEO,” Opt. Lett. 42, 4052–4054.
- Jin, Y., Q. Zhao, H. Yin, and H. Yue, 2015, “Handwritten numeral recognition utilizing reservoir computing subject to optoelectronic feedback,” Proceedings of the IEEE International Conference on Natural Computation (ICNC), pp. 1165–1169 [https://ieeexplore.ieee.org/document/7378156].
- Joiner, K. L., F. Palmero, and R. Carretero-Gonzalez, 2016, “Optoelectronic chaos in a simple light activated feedback circuit,” Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, 1650080.
- Juan, Y.-S., and F.-Y. Lin, 2009, “Ultra broadband microwave frequency combs generated by an optical pulse-injected semiconductor laser,” Opt. Express 17, 18596–18605.
- Kaba, M., H. W. Li, A. S. Daryoush, J. P. Vilcot, D. Decoster, J. Chazelas, G. Bouwmans, Y. Quiquempois, and F. Deborgies, 2006, “Improving thermal stability of opto-electronic oscillators,” IEEE Microw. Mag. 7, 38–47.
- Kaplan, A. E., 1981, “Bistable reflection of light by an electro-optically driven interface,” Appl. Phys. Lett. 38, 67–69.
- Ke, J., L. Yi, G. Xia, and W. Hu, 2018, “Chaotic optical communications over 100-km fiber transmission at bit rate,” Opt. Lett. 43, 1323–1326.
- Kersten, R. T., 1978, “Ein optisches nachrichtensystern mit bauelementen der integrierten optik für die übertragung hoher bitraten,” Archiv für Elektrotechnik 60, 353–359.
- Kim, J. M., and D. Cho, 2010, “Optoelectronic oscillator stabilized to an intra-loop Fabry-Perot cavity by a dual servo system,” Opt. Express 18, 14905–14912.
- Kim, J.-Y., J.-H. Jo, W.-Y. Choi, and H.-K. Sung, 2012, “Dual-loop dual-modulation optoelectronic oscillators with highly suppressed spurious tones,” IEEE Photonics Technol. Lett. 24, 706–708.
- Kingni, S. T., G. Van der Sande, I. V. Ermakov, and J. Danckaert, 2015, “Theoretical analysis of semiconductor ring lasers with short and long time-delayed optoelectronic and incoherent feedback,” Opt. Commun. 341, 147–154.
- Koizumi, K., M. Yoshida, and M. Nakazawa, 2010, “A 10-GHz optoelectronic oscillator at using a single-mode VCSEL and a photonic crystal fiber,” IEEE Photonics Technol. Lett. 22, 293–295.
- Kong, F., W. Li, and J. Yao, 2013, “Transverse load sensing based on a dual-frequency optoelectronic oscillator,” Opt. Lett. 38, 2611–2613.
- Konopsky, V. N., 1996, “A new type of optical gyro via electro-optical oscillator,” Opt. Commun. 126, 236–239.
- Kouomou, Y. C., P. Colet, N. Gastaud, and L. Larger, 2004, “Effect of parameter mismatch on the synchronization of chaotic semiconductor lasers with electro-optical feedback,” Phys. Rev. E 69, 056226.
- Kouomou, Y. C., P. Colet, L. Larger, and N. Gastaud, 2005a, “Chaotic breathers in delayed electro-optical systems,” Phys. Rev. Lett. 95, 203903.
- Kouomou, Y. C., P. Colet, L. Larger, and N. Gastaud, 2005b, “Mismatch-induced bit error rate in optical chaos communications using semiconductor lasers with electrooptical feedback,” IEEE J. Quantum Electron. 41, 156–163.
- Kouomou, Y. C., and P. Woafo, 2003a, “Cluster synchronization in coupled chaotic semiconductor lasers and application to switching in chaos-secured communication networks,” Opt. Commun. 223, 283–293.
- Kouomou, Y. C., and P. Woafo, 2003b, “Transitions from spatiotemporal chaos to cluster and complete synchronization states in a shift-invariant set of coupled nonlinear oscillators,” Phys. Rev. E 67, 046205.
- Lachinova, S. L., and W. Lu, 2001, “Domain coexistence in nonlinear optical pattern formation,” Phys. Rev. E 64, 026207.
- Lang, R., and K. Kobayashi, 1980, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347–355.
- Larger, L., 2013, “Complexity in electro-optic delay dynamics: Modelling, design and applications,” Phil. Trans. R. Soc. A 371, 20120464.
- Larger, L., A. Baylón-Fuentes, R. Martinenghi, V. S. Udaltsov, Y. K. Chembo, and M. Jacquot, 2017, “High-speed photonic reservoir computing using a time-delay-based architecture: Million words per second classification,” Phys. Rev. X 7, 011015.
- Larger, L., and J. M. Dudley, 2010, “Optoelectronic chaos,” Nature (London) 465, 41–42.
- Larger, L., J.-P. Goedgebuer, and F. Delorme, 1998, “Optical encryption system using hyperchaos generated by an optoelectronic wavelength oscillator,” Phys. Rev. E 57, 6618–6624.
- Larger, L., J.-P. Goedgebuer, and J.-M. Merolla, 1998, “Chaotic oscillator in wavelength: A new setup for investigating differential difference equations describing nonlinear dynamics,” IEEE J. Quantum Electron. 34, 594–601.
- Larger, L., P.-A. Lacourt, S. Poinsot, and M. Hanna, 2005, “From flow to map in an experimental high-dimensional electro-optic nonlinear delay oscillator,” Phys. Rev. Lett. 95, 043903.
- Larger, L., M. W. Lee, J.-P. Goedgebuer, W. Elflein, and T. Erneux, 2001, “Chaos in coherence modulation: bifurcations of an oscillator generating optical delay fluctuations,” J. Opt. Soc. Am. B 18, 1063–1068.
- Larger, L., B. Penkovsky, and Y. Maistrenko, 2015, “Laser chimeras as a paradigm for multistable patterns in complex systems,” Nat. Commun. 6, 7752.
- Larger, L., M. C. Soriano, D. Brunner, L. Appeltant, J. M. Gutierrez, L. Pesquera, C. R. Mirasso, and I. Fischer, 2012, “Photonic information processing beyond Turing: an optoelectronic implementation of reservoir computing,” Opt. Express 20, 3241–3249.
- Lasri, J., A. Bilenca, D. Dahan, V. Sidorov, G. Eisenstein, D. Ritter, and K. Yvind, 2002, “A self-starting hybrid optoelectronic oscillator generating ultra low jitter 10-GHz optical pulses and low phase noise electrical signals,” IEEE Photonics Technol. Lett. 14, 1004–1006.
- Lasri, J., P. Devgan, R. Tang, and P. Kumar, 2004, “Ultralow timing jitter clock recovery using a self-starting optoelectronic oscillator,” IEEE Photonics Technol. Lett. 16, 263–265.
- Lau, K. Y., and A. Yariv, 1984, “Selfsustained picosecond pulse generation in a GaAlAs laser at an electrically tunable repetition rate by optoelectronic feedback,” Appl. Phys. Lett. 45, 124–126.
- Lavrov, R., M. Jacquot, and L. Larger, 2010, “Nonlocal nonlinear electro-optic phase dynamics demonstrating chaos communications,” IEEE J. Quantum Electron. 46, 1430–1435.
- Lavrov, R., M. Peil, M. Jacquot, L. Larger, V. Udaltsov, and J. Dudley, 2009, “Electro-optic delay oscillator with nonlocal nonlinearity: Optical phase dynamics, chaos, and synchronization,” Phys. Rev. E 80, 026207.
- Lee, C.-H., S.-Y. Shin, and S.-Y. Lee, 1988, “Optical short-pulse generation using diode lasers with negative optoelectronic feedback,” Opt. Lett. 13, 464–466.
- Lee, J., S. Park, D. H. Seo, S. H. Yim, S. Yoon, and D. Cho, 2016, “Displacement measurement using an optoelectronic oscillator with an intra-loop Michelson interferometer,” Opt. Express 24, 21910–21920.
- Lee, J.-Y., M.-S. Jeon, and J.-I. Song, 2019, “Remote optical frequency up-converter based on optoelectronic oscillator,” IEEE Photonics Technol. Lett. 31, 50–53.
- Lee, J.-Y., and J.-I. Song, 2017, “Photonic frequency down-converter based on a frequency-doubling OEO using two cascaded EAMs,” IEEE Photonics Technol. Lett. 29, 1529–1532.
- Lee, K. H., J. Y. Kim, W. Y. Choi, H. Kamitsuna, M. Ida, and K. Kurishima, 2008, “Low-cost optoelectronic self-injection-locked oscillators,” IEEE Photonics Technol. Lett. 20, 1151–1153.
- Lee, M. W., L. Larger, and J.-P. Goedgebuer, 2003, “Transmission system using chaotic delays between lightwaves,” IEEE J. Quantum Electron. 39, 931–935.
- Lelièvre, O., et al., 2017, “A model for designing ultralow noise single- and dual-loop 10-GHz optoelectronic oscillators,” J. Lightwave Technol. 35, 4366–4374.
- Levy, E. C., and M. Horowitz, 2011, “Single-cycle radio-frequency pulse generation by an optoelectronic oscillator,” Opt. Express 19, 17599.
- Levy, E. C., O. Okusaga, M. Horowitz, C. R. Menyuk, W. Zhou, and G. M. Carter, 2010, “Comprehensive computational model of single- and dual-loop optoelectronic oscillators with experimental verification,” Opt. Express 18, 21461–21476.
- Lewis, M. F., 1992, “Novel RF oscillator using optical components,” Electron. Lett. 28, 31–32.
- Li, C., J. Mao, R. Dai, X. Zhou, and J. Jiang, 2016, “Frequency-sextupling optoelectronic oscillator using a Mach-Zehnder interferometer and an FBG,” IEEE Photonics Technol. Lett. 28, 1356–1359.
- Li, C., Y. Wang, W. Y. Wang, Z. Xu, B. Zhao, H. Wang, and D. Tang, 2018, “Widely tunable optoelectronic oscillator using a dispersion-induced single bandpass MPF,” IEEE Photonics Technol. Lett. 30, 7–10.
- Li, C. Y., H. H. Lu, T. T. Shih, M. T. Cheng, C. M. Ho, X. Y. Lin, Z. Y. Yang, and S. J. Huang, 2016, “A bidirectional fiber-wireless and fiber-IVLLC convergence system with a dual-polarization modulation scheme and an MZM-OEO-based BLS,” IEEE Photonics J. 8, 7200408.
- Li, C.-Yi, H.-H. Lu, Y.-N. Chen, C.-W. Su, Y.-R. Wu, Z.-H. Wang, and Y.-P. Lin, 2018, “A high-speed and long-reach PAM4 optical wireless communication system,” IEEE Photonics J. 10, 7906109.
- Li, L., L. Paolino, X. Yi, and T. Huang, 2014, “Shifted dispersion-induced RF-fading based continuously tunable optoelectronic oscillator,” Electron. Lett. 50, 1079–1081.
- Li, M., Y. Hong, Y. Song, and X. Zhang, 2018, “Effect of controllable parameter synchronization on the ensemble average bit error rate of space-to-ground downlink chaos laser communication system,” Opt. Express 26, 2954–2964.
- Li, M., W. Li, and J. Yao, 2012, “Tunable optoelectronic oscillator incorporating a high-Q spectrum-sliced photonic microwave transversal filter,” IEEE Photonics Technol. Lett. 24, 1251–1253.
- Li, N., and J. Wei, 2019, “Bifurcation analysis in a nonlinear electro-optical oscillator with delayed bandpass feedback,” Nonlinear Dyn. 96, 483–496.
- Li, W., F. Kong, and J. Yao, 2013, “Arbitrary microwave waveform generation based on a tunable optoelectronic oscillator,” J. Lightwave Technol. 31, 3780–3786.
- Li, W., J. G. Liu, and N. H. Zhu, 2015, “A widely and continuously tunable frequency doubling optoelectronic oscillator,” IEEE Photonics Technol. Lett. 27, 1461–1464.
- Li, W., and J. Yao, 2012, “A wideband frequency tunable optoelectronic oscillator incorporating a tunable microwave photonic filter based on phase-modulation to intensity-modulation conversion using a phase-shifted fiber Bragg grating,” IEEE Trans. Microwave Theory Tech. 60, 1735–1742.
- Liao, J.-F., and J.-Q. Sun, 2013, “Polarization dynamics and chaotic synchronization in unidirectionally coupled VCSELs subjected to optoelectronic feedback,” Opt. Commun. 295, 188–196.
- Liao, M.-L., Y.-Z. Huang, H.-Z. Weng, J.-Y. Han, Z.-X. Xiao, J.-L. Xiao, and Y.-D. Yang, 2017, “Narrow-linewidth microwave generation by an optoelectronic oscillator with a directly modulated microsquare laser,” Opt. Lett. 42, 4251–4254.
- Lin, F.-Y., and J.-M. Liu, 2003, “Nonlinear dynamics of a semiconductor laser with delayed negative optoelectronic feedback,” IEEE J. Quantum Electron. 39, 562–568.
- Lin, F.-Y., and J.-M. Liu, 2004, “Chaotic lidar,” IEEE J. Sel. Top. Quantum Electron. 10, 991–997.
- Lin, F.-Y., and M.-C. Tsai, 2007, “Chaotic communication in radio-over-fiber transmission based on optoelectronic feedback semiconductor lasers,” Opt. Express 15, 302–311.
- Lin, G., A. Coillet, and Y. K. Chembo, 2017, “Nonlinear photonics with high-Q whispering-gallery-mode resonators,” Adv. Opt. Photonics 9, 828–890.
- Lin, X.-D., Z.-M. Wu, T. Deng, X. Tang, L. Fan, Z.-Y. Gao, and G.-Q. Xia, 2018, “Generation of widely tunable narrow-linewidth photonic microwave signals based on an optoelectronic oscillator using an optically injected semiconductor laser as the active tunable microwave photonic filter,” IEEE Photonics J. 10, 5502209.
- Lin, Y. S., 2012, “Theory of stability and bifurcation in a multi-quantum well laser with opto-electronic delayed feedback,” Opt. Laser Technol. 44, 83–91.
- Liu, A., J. Dai, and K. Xu, 2018, “Stable and low-spurs optoelectronic oscillators: A review,” Appl. Sci. 8, 2623.
- Liu, C., W. Zou, and J. Chen, 2013, “An optoelectronic oscillator based on carrier-suppression-effect-free single bandpass microwave photonic filter,” IEEE Photonics J. 5, 5501807.
- Liu, J., H. Deng, W. Zhang, and J. Yao, 2018, “On-chip sensor for simultaneous temperature and refractive index measurements based on a dual-passband microwave photonic filter,” J. Lightwave Technol. 36, 4099–4105.
- Liu, J., G. S. Kanter, S. X. Wang, and P. Kumar, 2012, “10 GHz ultra-stable short optical pulse generation via phase-modulation enhanced dual-loop optoelectronic oscillator,” Opt. Commun. 285, 1035–1038.
- Liu, J., A. Liu, Z. Wu, Y. Gao, J. Dai, Y. Liu, and K. Xu, 2018, “Frequency-demultiplication OEO for stable millimeter-wave signal generation utilizing phase-locked frequency-quadrupling,” Opt. Express 26, 27358–27367.
- Liu, J., M. Wang, Y. Tang, Y. Yang, Y. Wu, W. Jin, and S. Jian, 2017, “Switchable optoelectronic oscillator using an FM-PS-FBG for strain and temperature sensing,” IEEE Photonics Technol. Lett. 29, 2008–2011.
- Liu, J., B. Zheng, and C. Shu, 2017, “Self-oscillating optical frequency comb based on a Raman-pumped Brillouin optoelectronic oscillator,” IEEE Photonics Technol. Lett. 29, 1003–1006.
- Liu, J.-M., H.-F. Chen, and S. Tang, 2002, “Synchronized chaotic optical communications at high bit rates,” IEEE J. Quantum Electron. 38, 1184–1196.
- Liu, L., J. Lin, and S. Miao, 2017, “Bubbling effect in the electro-optic delayed feedback oscillator coupled network,” Opt. Commun. 387, 310–315.
- Liu, L., S. Miao, M. Cheng, and X. Gao, 2016, “A new switching parameter varying optoelectronic delayed feedback model with computer simulation,” Sci. Rep. 6, 22295.
- Liu, S., K. Lv, J. Fu, L. Wu, W. Pan, and S. Pan, 2019, “Wideband microwave frequency division based on an optoelectronic oscillator,” IEEE Photonics Technol. Lett. 31, 389–392.
- Liu, X., W. Pan, X. Zou, L. Yan, B. Luo, and B. Lu, 2014, “Investigation on tunable modulation index in the polarization-modulator-based optoelectronic oscillator,” IEEE J. Quantum Electron. 50, 68–73.
- Liu, Y., P. Davis, and T. Aida, 2001, “Synchronized chaotic mode hopping in DBR lasers with delayed opto-electric feedback,” IEEE J. Quantum Electron. 37, 337–352.
- Liu, Y., T. Hao, W. Li, J. Capmany, N. Zhu, and M. Li, 2018, “Observation of parity-time symmetry in microwave photonics,” Light Sci. Applications 7, 38.
- Liu, Y., and J. Ohtsubo, 1992, “Chaos in an active interferometer,” J. Opt. Soc. Am. B 9, 261–265.
- Loh, W., S. Yegnanarayanan, J. Klamkin, S. M. Duff, J. J. Plant, F. J. O’Donnell, and P. W. Juodawlkis, 2012, “Amplifier-free slab-coupled optical waveguide optoelectronic oscillator systems,” Opt. Express 20, 19589–98.
- Lou, C., L. Huo, G. Chang, and Y. Z. Gao, 2002, “Experimental study of clock division using the optoelectronic oscillator,” IEEE Photonics Technol. Lett. 14, 1178–1180.
- Lu, D., B. Pan, H. Chen, and L. Zhao, 2015, “Frequency-tunable optoelectronic oscillator using a dual-mode amplified feedback laser as an electrically controlled active microwave photonic filter,” Opt. Lett. 40, 4340–4343.
- Lu, D., X. Zhao, C. Lou, and L. Huo, 2011, “Synchronized clock multiplication through optical subharmonic injection locking of an optoelectronic oscillator,” Opt. Commun. 284, 2742–2746.
- Lu, H.-H., C.-Y. Li, T.-C. Lu, C.-J. Wu, C.-A. Chu, A. Shiva, and T. Mochii, 2016, “Bidirectional fiber-wireless and fiber-VLLC transmission system based on an OEO-based BLS and a RSOA,” Opt. Lett. 41, 476–479.
- Ly, A., V. Auroux, R. Khayatzadeh, N. Gutierrez, A. Fernandez, and O. Llopis, 2018, “Highly spectrally pure 90-GHz signal synthesis using a coupled optoelectronic oscillator,” IEEE Photonics Technol. Lett. 30, 1313–1316.
- Ma, C., J. Yu, J. Wang, Y. Yu, T. Xie, E. Yang, and Y. Jiang, 2018, “Photonic generation of microwave waveforms based on a dual-loop optoelectronic oscillator,” Opt. Commun. 426, 158–163.
- Ma, X.-W., Y.-Z. Huang, L.-X. Zou, B.-W. Liu, H. Long, H.-Z. Weng, Y.-D. Yang, and J.-L. Xiao, 2015, “Narrow-linewidth microwave generation using AlGaInAs/InP microdisk lasers subject to optical injection and optoelectronic feedback,” Opt. Express 23, 20321.
- Maass, W., T. Natschläger, and H. Markram, 2002, “Real-time computing without stable states: A new framework for neural computation based on perturbations,” Neural Comput. 14, 2531–2560.
- Maleki, L., 2011, “The optoelectronic oscillator,” Nat. Photonics 5, 728–730.
- Maleki, L., D. Eliyahu, and A. B. Matsko, 2011, “Optoelectronic oscillator,” in Broadband Optical Modulators: Science, Technology, and Applications, edited by A. Chen and E. J. Murphy, Chap. 21 (CRC Press, Boca Raton), pp. 467–487.
- Marino, F., M. Ciszak, S. F. Abdalah, K. Al-Naimee, R. Meucci, and F. T. Arecchi, 2011, “Mixed-mode oscillations via canard explosions in light-emitting diodes with optoelectronic feedback,” Phys. Rev. E 84, 047201.
- Marino, F., G. Giacomelli, and S. Barland, 2014, “Front pinning and localized states analogues in long-delayed bistable systems,” Phys. Rev. Lett. 112, 103901.
- Marquez, B. A., L. Larger, D. Brunner, Y. K. Chembo, and M. Jacquot, 2016, “Interaction between Liénard and Ikeda dynamics in a nonlinear electro-optical oscillator with delayed bandpass feedback,” Phys. Rev. E 94, 062208.
- Márquez, B. A., J. J. Suárez-Vargas, and J. A. Ramírez, 2014, “Polynomial law for controlling the generation of n-scroll chaotic attractors in an optoelectronic delayed oscillator,” Chaos 24, 033123.
- Martinenghi, R., S. Rybalko, M. Jacquot, Y. K. Chembo, and L. Larger, 2012, “Photonic nonlinear transient computing with multiple-delay wavelength dynamics,” Phys. Rev. Lett. 108, 244101.
- Matsko, A., A. Savchenkov, D. Strekalov, V. Ilchenko, and L. Maleki, 2005, “Review of applications of whispering-gallery mode resonators in photonics and nonlinear optics,” IPN Prog. Rep. 42, 1–51 [https://ipnpr.jpl.nasa.gov/].
- Matsko, A. B., L. Maleki, A. A. Savchenkov, and V. S. Ilchenko, 2003, “Whispering gallery mode based optoelectronic microwave oscillator,” J. Mod. Opt. 50, 2523–2542.
- Matsko, A. B., D. Strekalov, and L. Maleki, 2005, “Magnetometer based on the opto-electronic microwave oscillator,” Opt. Commun. 247, 141–148.
- Maxin, J., G. Pillet, B. Steinhausser, L. Morvan, O. Llopis, and D. Dolfi, 2013, “Widely tunable opto-electronic oscillator based on a dual frequency laser,” J. Lightwave Technol. 31, 2919–2925.
- May, R. M., 1976, “Simple mathematical models with very complicated dynamics,” Nature (London) 261, 459–467.
- McCall, S. L., 1978, “Instability and regenerative pulsation phenomena in Fabry-Perot nonlinear optic media devices,” Appl. Phys. Lett. 32, 284–286.
- Mei, Y., T. Jin, H. Chi, S. Zheng, X. Jin, and X. Zhang, 2014, “Optoelectronic oscillator with phase-shifted fiber Bragg grating,” Opt. Commun. 319, 117–120.
- Merklein, M., B. Stiller, I. V. Kabakova, U. S. Mutugala, K. Vu, S. J. Madden, B. J. Eggleton, and R. Slavik, 2016, “Widely tunable, low phase noise microwave source based on a photonic chip,” Opt. Lett. 41, 4633–4636.
- Merrer, P.-H., K. Saleh, O. Llopis, S. Berneschi, F. Cosi, and G. Nunzi Conti, 2012, “Characterization technique of optical whispering gallery mode resonators in the microwave frequency domain for optoelectronic oscillators,” Appl. Opt. 51, 4742.
- Mikitchuk, K., A. Chizh, and S. Malyshev, 2016, “Modeling and design of delay-line optoelectronic oscillators,” IEEE J. Quantum Electron. 52, 5000108.
- Miscuglio, M., A. Mehrabian, Z. Hu, S. I. Azzam, J. George, A. V. Kildishev, M. Pelton, and V. J. Sorger, 2018, “All-optical nonlinear activation function for photonic neural networks,” Opt. Mater. Express 8, 3851–3863.
- Mu, P., W. Pan, S. Xiang, N. Li, X. Liu, and X. Zou, 2015, “Fast physical and pseudo random number generation based on a nonlinear optoelectronic oscillator,” Mod. Phys. Lett. B 29, 1550142.
- Mukherjee, A., D. Ghosh, and B. Biswas, 2016, “On the effect of combining an external synchronizing signal feeding the Mach-Zehnder modulator in an optoelectronic oscillator,” Optik 127, 3576–3581.
- Munnelly, P., B. Lingnau, M. M. Karow, T. Heindel, M. Kamp, S. Höfling, K. Lüdge, C. Schneider, and S. Reitzenstein, 2017, “On-chip optoelectronic feedback in a micropillar laser-detector assembly,” Optica 4, 303–306.
- Murphy, T. E., A. B. Cohen, B. Ravoori, K. R. B. Schmitt, A. V. Setty, F. Sorrentino, C. R. S. Williams, E. Ott, and R. Roy, 2010, “Complex dynamics and synchronization of delayed-feedback nonlinear oscillators,” Phil. Trans. R. Soc. A 368, 343–366.
- Murphy, T. E., and R. Roy, 2008, “Chaotic lasers: The world’s fastest dice,” Nat. Photonics 2, 714–715.
- Mutugala, U. S., et al., 2017, “Optoelectronic oscillator incorporating hollow-core photonic bandgap fiber,” Opt. Lett. 42, 2647–2650.
- Nakazawa, M., T. Nakashima, and M. Tokuda, 1984, “An optoelectronic self-oscillatory circuit with an optical fiber delayed feedback and its injection locking technique,” J. Lightwave Technol. 2, 719–730.
- Nakazawa, M., M. Tokuda, and N. Uchida, 1981, “Self-sustained intensity oscillation of a laser diode introduced by a delayed electrical feedback using an optical fiber and an electrical amplifier,” Appl. Phys. Lett. 39, 379–381.
- Neyer, A., and E. Voges, 1981, “Nonlinear electrooptic oscillator using an integrated interferometer,” Opt. Commun. 37, 169–174.
- Neyer, A., and E. Voges, 1982a, “Dynamics of electrooptic bistable devices with delayed feedback,” IEEE J. Quantum Electron. 18, 2009–2015.
- Neyer, A., and E. Voges, 1982b, “High-frequency electro-optic oscillator using an integrated interferometer,” Appl. Phys. Lett. 40, 6–8.
- Neyer, A., and E. Voges, 1982c, “Hybrid electro-optical multivibrator operating by finite feedback delay,” Electron. Lett. 18, 59–60.
- Nguimdo, R. M., Y. K. Chembo, P. Colet, and L. Larger, 2012, “On the phase noise performance of nonlinear double-loop optoelectronic microwave oscillators,” IEEE J. Quantum Electron. 48, 1415–1423.
- Nguimdo, R. M., P. Colet, L. Larger, and L. Pesquera, 2011, “Digital key for chaos communication performing time delay concealment,” Phys. Rev. Lett. 107, 034103.
- Nguimdo, R. M., R. Lavrov, P. Colet, M. Jacquot, Y. K. Chembo, and L. Larger, 2010, “Effect of fiber dispersion on broadband chaos communications implemented by electro-optic nonlinear delay phase dynamics,” IEEE J. Quantum Electron. 28, 2688–2696.
- Nguimdo, R. M., V. Lecocq, Y. K Chembo, and T. Erneux, 2016, “Effect of time delay on the stability of optoelectronic oscillators based on whispering-gallery mode resonators,” IEEE J. Quantum Electron. 52, 6500107.
- Nguimdo, R. M., K. Saleh, A. Coillet, G. Lin, R. Martinenghi, and Y. K. Chembo, 2015, “Phase noise performance of optoelectronic oscillators based on whispering-gallery mode resonators,” IEEE J. Quantum Electron. 51, 6500308.
- Nguyen, L. D., K. Nakatani, and B. Journet, 2010, “Refractive index measurement by using an optoelectronic oscillator,” IEEE Photonics Technol. Lett. 22, 857–859.
- Nietzke, R., J. Sacher, W. Elsasser, and E. O. Gobel, 1990, “Mode locking of a semiconductor laser by self-synchronising optoelectronic feedback of the longitudinal mode beats,” Electron. Lett. 26, 1016–1018.
- Nourine, M., Y. K. Chembo, and L. Larger, 2011, “Wideband chaos generation using a delayed oscillator and a two-dimensional nonlinearity induced by a quadrature phase-shift-keying electro-optic modulator,” Opt. Lett. 36, 2833–2835.
- Oden, J., R. Lavrov, Y. K. Chembo, and L. Larger, 2017, “Multi-Gbit/s optical phase chaos communications using a time-delayed optoelectronic oscillator with a three-wave interferometer nonlinearity,” Chaos 27, 114311.
- Okada, M., and K. Takizawa, 1979, “Optical multistability in the mirrorless electrooptic device with feedback,” IEEE J. Quantum Electron. 15, 82–85.
- Okada, M., and K. Takizawa, 1980, “Optical regenerative oscillation and monostable pulse generation in electrooptic bistable devices,” IEEE J. Quantum Electron. 16, 770–776.
- Okada, M., and K. Takizawa, 1981, “Instability of an electrooptic bistable device with a delayed feedback,” IEEE J. Quantum Electron. 17, 2135–2140.
- Okusaga, O., J. P. Cahill, A. Docherty, C. R. Menyuk, W. Zhou, and G. M. Carter, 2013, “Suppression of Rayleigh-scattering-induced noise in OEOs,” Opt. Express 21, 22255–22262.
- Oliver, N., L. Larger, and I. Fischer, 2016, “Consistency in experiments on multistable driven delay systems,” Chaos 26, 103115.
- Ortín, S., M. C. Soriano, L. Pesquera, D. Brunner, D. San-Martín, I. Fischer, C. R. Mirasso, and J. M. Gutiérrez, 2015, “A unified framework for reservoir computing and extreme learning machines based on a single time-delayed neuron,” Sci. Rep. 5, 14945.
- Ozdur, I., D. Mandridis, N. Hoghooghi, and P. J. Delfyett, 2010, “Low noise optically tunable opto-electronic oscillator with Fabry-Perot etalon,” J. Lightwave Technol. 28, 3100–3106.
- Pallavisini, A., L. Larger, V. S. Udaltsov, J.-M. Merolla, R. Quéré, N. Butterlin, and J.-P. Goedgebuer, 2007, “Rf-interferences generate chaotic GHz FM-carrier for communications,” IEEE J. Quantum Electron. 43, 426–433.
- Pan, B., D. Lu, L. Zhang, and L. Zhao, 2015, “A widely tunable optoelectronic oscillator based on directly modulated dual-mode laser,” IEEE Photonics J. 7, 1400707.
- Pan, S., and J. Yao, 2009, “Optical clock recovery using a polarization-modulator-based frequency-doubling optoelectronic oscillator,” J. Lightwave Technol. 27, 3531–3539.
- Pan, S., and J. Yao, 2010, “Multichannel optical signal processing in NRZ systems based on a frequency-doubling optoelectronic oscillator,” IEEE J. Sel. Top. Quantum Electron. 16, 1460–1468.
- Paoli, T. L., and J. E. Ripper, 1970a, “Frequency stabilization and narrowing of optical pulses from CW GaAs injection lasers,” IEEE J. Quantum Electron. 6, 335–339.
- Paoli, T. L., and J. E. Ripper, 1970b, “Self-stabilization and narrowing of optical pulses from GaAs junction lasers by injection current feedback,” Appl. Phys. Lett. 16, 96–97.
- Paquot, Y., F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, and S. Massar, 2012, “Optoelectronic reservoir computing,” Sci. Rep. 2, 287.
- Pasquazi, A., et al., 2018, “Micro-combs: A novel generation of optical sources,” Phys. Rep. 729, 1–81.
- Paulus, P., R. Langenhorst, and D. Jäger, 1987, “Stable pulsations of semiconductor lasers by optoelectronic feedback with avalanche photodiodes,” Electron. Lett. 23, 471–472.
- Pecora, L. M., and T. L. Carroll, 1990, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64, 821–824.
- Pecora, L. M., F. Sorrentino, A. M. Hagerstrom, T. E. Murphy, and R. Roy, 2014, “Cluster synchronization and isolated desynchronization in complex networks with symmetries,” Nat. Commun. 5, 4079.
- Peil, M., M. Jacquot, Y. K. Chembo, L. Larger, and T. Erneux, 2009, “Routes to chaos and multiple time scale dynamics in broadband bandpass nonlinear delay electro-optic oscillators,” Phys. Rev. E 79, 026208.
- Peil, M., L. Larger, and I. Fischer, 2007, “Versatile and robust chaos synchronization phenomena imposed by delayed shared feedback coupling,” Phys. Rev. E 76, 045201.
- Peng, H., et al., 2017, “Wideband tunable optoelectronic oscillator based on the deamplification of stimulated Brillouin scattering,” Opt. Express 25, 10287.
- Pieroux, D., T. Erneux, A. Gavrielides, and V. Kovanis, 2000, “Hopf bifurcation subject to a large delay in a laser system,” SIAM J. Appl. Math. 61, 966–982.
- Plascak, M. E., R. B. Ramirez, K. Bagnell, and P. J. Delfyett, 2018, “Tunable broadband electro-optic comb generation using an optically filtered optoelectronic oscillator,” IEEE Photonics Technol. Lett. 30, 335–338.
- Poinsot, S., H. Porte, J.-P. Goedgebuer, W. T Rhodes, and B. Boussert, 2002, “Continuous radio-frequency tuning of an optoelectronic oscillator with dispersive feedback,” Opt. Lett. 27, 1300–1302.
- Qin, J., Q. Zhao, H. Yin, Y. Jin, and C. Liu, 2017, “Numerical simulation and experiment on optical packet header recognition utilizing reservoir computing based on optoelectronic feedback,” IEEE Photonics J. 9, 7901311.
- Qu, S., T. Jin, H. Chi, G. Tong, F. Ren, and X. Zhao, 2015, “An optoelectronic oscillator using an FBG and an FBG-based Fabry-Perot filter,” Opt. Commun. 342, 141–143.
- Quinlan, F., C. Williams, S. Ozharar, S. Gee, and P. J. Delfyett, 2008, “Self-stabilization of the optical frequencies and the pulse repetition rate in a coupled optoelectronic oscillator,” J. Lightwave Technol. 26, 2571–2577.
- Ravoori, B., A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, 2011, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett. 107, 034102.
- Rogers, E. A., R. Kalra, R. D. Schroll, A. Uchida, D. P. Lathrop, and R. Roy, 2004, “Generalized synchronization of spatiotemporal chaos in a liquid crystal spatial light modulator,” Phys. Rev. Lett. 93, 084101.
- Romeira, B., R. Avó, J. M. L. Figueiredo, S. Barland, and J. Javaloyes, 2016, “Regenerative memory in time-delayed neuromorphic photonic resonators,” Sci. Rep. 6, 19510.
- Romeira, B., J. M. L. Figueiredo, and J. Javaloyes, 2017, “Delay dynamics of neuromorphic optoelectronic nanoscale resonators: Perspectives and applications,” Chaos 27, 114323.
- Romeira, B., F. Kong, W. Li, J. M. L. Figueiredo, J. Javaloyes, and J. Yao, 2014, “Broadband chaotic signals and breather oscillations in an optoelectronic oscillator incorporating a microwave photonic filter,” J. Lightwave Technol. 32, 3933–3942.
- Romeira, B., K. Seunarine, C. N. Ironside, A. E. Kelly, and J. M. L. Figueiredo, 2011, “A self-synchronized optoelectronic oscillator based on an RTD photodetector and a laser diode,” IEEE Photonics Technol. Lett. 23, 1148–1150.
- Romisch, S., J. Kitching, E. Ferre-Pikal, L. Hollberg, and F. L. Walls, 2000, “Performance evaluation of an optoelectronic oscillator,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 47, 1159–1165.
- Rontani, D., A. Locquet, M. Sciamanna, D. S. Citrin, and A. Uchida, 2011, “Generation of orthogonal codes with chaotic optical systems,” Opt. Lett. 36, 2287–2289.
- Rosin, D. P., K. E. Callan, D. J. Gauthier, and E. Schöll, 2011, “Pulse-train solutions and excitability in an optoelectronic oscillator,” Europhys. Lett. 96, 34001.
- Rubiola, E., 2010, Phase Noise and Frequency Stability in Oscillators (Cambridge University Press, Cambridge, England).
- Sakamoto, T., T. Kawanishi, and M. Izutsu, 2007, “Optoelectronic oscillator employing reciprocating optical modulator for millimetre-wave generation,” Electron. Lett. 43, 1031–1033.
- Saleh, K., and Y. K. Chembo, 2017, “Phase noise performance comparison between microwaves generated with Kerr optical frequency combs and optoelectronic oscillators,” Electron. Lett. 53, 264–266.
- Saleh, K., R. Henriet, S. Diallo, G. Lin, R. Martinenghi, I. V. Balakireva, P. Salzenstein, A. Coillet, and Y. K Chembo, 2014, “Phase noise performance comparison between optoelectronic oscillators based on optical delay lines and whispering gallery mode resonators,” Opt. Express 22, 32158.
- Saleh, K., G. Lin, and Y. K. Chembo, 2015, “Effect of laser coupling and active stabilization on the phase noise performance of optoelectronic microwave oscillators based on whispering-gallery-mode resonators,” IEEE Photonics J. 7, 5500111.
- Saleh, K., O. Llopis, and G. Cibiel, 2013, “Optical scattering induced noise in fiber ring resonators and optoelectronic oscillators,” J. Lightwave Technol. 31, 1433–1446.
- Salik, E., N. Yu, and L. Maleki, 2007, “An ultralow phase noise coupled optoelectronic oscillator,” IEEE Photonics Technol. Lett. 19, 444–446.
- Schlaak, H. F., A. Neyer, and W. Sohler, 1980, “Electrooptical oscillator using an integrated cutoff modulator,” Opt. Commun. 32, 72–74.
- Schlaak, H. F., and R. Th. Kersten, 1981, “Integrated optical oscillators and their applications to optical communication systems,” Opt. Commun. 36, 186–188.
- Schnapper, A., M. Papuchon, and C. Puech, 1979, “Optical bistability using an integrated two arm interferometer,” Opt. Commun. 29, 364–368.
- Sciamanna, M., and K. A. Shore, 2015, “Physics and applications of laser diode chaos,” Nat. Photonics 9, 151–162.
- Seo, D. H., and S. H. Yim, 2017, “Frequency pulling effect of an intraloop atomic filter in an optoelectronic oscillator,” Appl. Opt. 56, 666–670.
- Shahverdiev, E. M., R. A. Nuriev, R. H. Hashimov, and K. A. Shore, 2005, “Parameter mismatches, variable delay times and synchronization in time-delayed systems,” Chaos Solitons Fractals 25, 325–331.
- Shang, S., A. Wen, Y. Gao, and W. Zhang, 2017, “Tunable frequency-doubled optoelectronic oscillator based on a phase modulator in a Sagnac loop,” Optik 145, 617–622.
- Shao, Y., X. Han, M. Li, and M. Zhao, 2018, “RF signal detection by a tunable optoelectronic oscillator based on a PS-FBG,” Opt. Lett. 43, 1199–1202.
- Shapiro, J. H., G. Saplakoglu, S.-T. Ho, P. Kumar, B. E. A. Saleh, and M. C. Teich, 1987, “Theory of light detection in the presence of feedback,” J. Opt. Soc. Am. B 4, 1604–1620.
- Sherman, A., and M. Horowitz, 2013, “Ultralow-repetition-rate pulses with ultralow jitter generated by passive mode-locking of an optoelectronic oscillator,” J. Opt. Soc. Am. B 30, 2980.
- Shi, M., L. Yi, W. Wei, and W. Hu, 2018, “Generation and phase noise analysis of a wide optoelectronic oscillator with ultra-high resolution based on stimulated Brillouin scattering,” Opt. Express 26, 16113–16124.
- Shin, M., and P. Kumar, 2007, “Optical microwave frequency up-conversion via a frequency-doubling optoelectronic oscillator,” IEEE Photonics Technol. Lett. 19, 1726–1728.
- Shumakher, E., and G. Eisenstein, 2008, “A novel multiloop optoelectronic oscillator,” IEEE Photonics Technol. Lett. 20, 1881–1883.
- Smith, P., E. Turner, and P. Maloney, 1978, “Electrooptic nonlinear Fabry-Pérot devices,” IEEE J. Quantum Electron. 14, 207–212.
- Smith, P. W., I. P. Kaminow, P. J. Maloney, and L. W. Stulz, 1978, “Integrated bistable optical devices,” Appl. Phys. Lett. 33, 24–26.
- Smith, P. W., and E. H. Turner, 1977, “A bistable Fabry-Perot resonator,” Appl. Phys. Lett. 30, 280–281.
- Smith, P. W., E. H. Turner, and B. B. Mumford, 1978, “Nonlinear electro-optic Fabry-Perot devices using reflected-light feedback,” Opt. Lett. 2, 55–57.
- Sohler, W., 1980, “Optical bistable device as electro-optical multivibrator,” Appl. Phys. Lett. 36, 351–353.
- Soriano, M. C., J. García-Ojalvo, C. R. Mirasso, and I. Fischer, 2013, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85, 421–470.
- Soriano, M. C., S. Ortín, D. Brunner, L. Larger, C. R. Mirasso, I. Fischer, and L. Pesquera, 2013, “Optoelectronic reservoir computing: tackling noise-induced performance degradation,” Opt. Express 21, 12–20.
- Strekalov, D., D. Aveline, N. Yu, R. Thompson, A. B Matsko, and L. Maleki, 2003, “Stabilizing an optoelectronic microwave oscillator with photonic filters,” J. Lightwave Technol. 21, 3052–3061.
- Strekalov, D. V., C. Marquardt, A. B. Matsko, H. G. Schwefel, and G. Leuchs, 2016, “Nonlinear and quantum optics with whispering gallery resonators,” J. Opt. 18, 123002.
- Suelzer, J. S., T. B. Simpson, P. Devgan, and N. G. Usechak, 2017, “Tunable, low-phase-noise microwave signals from an optically injected semiconductor laser with opto-electronic feedback,” Opt. Lett. 42, 3181.
- Sun, W. H., W. Li, W. T. Wang, J. G. Liu, and N. H. Zhu, 2014, “Reconfigurable microwave photonic filter with negative coefficient based on an optoelectronic oscillator,” Opt. Commun. 321, 73–77.
- Sung, H.-K., X. Zhao, E. K. Lau, D. Parekh, C. J. Chang-Hasnain, and M. C. Wu, 2009, “Optoelectronic oscillators using direct-modulated semiconductor lasers under strong optical injection,” IEEE J. Sel. Top. Quantum Electron. 15, 572–577.
- Takizawa, T., Y. Liu, and J. Ohtsubo, 1994, “Chaos in a feedback Fabry-Perot interferometer,” IEEE J. Quantum Electron. 30, 334–338.
- Talla, A. F., R. Martinenghi, G. R. G. Chengui, J. H. T. Mbé, K. Saleh, A. Coillet, G. Lin, P. Woafo, and Y. K. Chembo, 2015, “Analysis of phase-locking in narrow-band optoelectronic oscillators with intermediate frequency,” IEEE J. Quantum Electron. 51, 5000108.
- Talla, A. F., R. Martinenghi, P. Woafo, and Y. K. Chembo, 2016, “Breather and pulse-package dynamics in multinonlinear electrooptical systems with delayed feedback,” IEEE Photonics J. 8, 7803608.
- Talla Mbé, J. H., J. S. D. Kamaha, Y. K. Chembo, and P. Woafo, 2019, “Dynamics of wideband time-delayed optoelectronic oscillators with nonlinear filters,” IEEE J. Quantum Electron. 55, 5000106.
- Talla Mbé, J. H., A. F. Talla, G. R. G. Chengui, A. Coillet, L. Larger, P. Woafo, and Y. K. Chembo, 2015, “Mixed-mode oscillations in slow-fast delayed optoelectronic systems,” Phys. Rev. E 91, 012902.
- Talla Mbé, J. H., P. Woafo, and Y. K. Chembo, 2019, “A normal form method for the determination of oscillations characteristics near the primary Hopf bifurcation in bandpass optoelectronic oscillators: Theory and experiment,” Chaos 29, 033104.
- Tang, H., Y. Yu, Z. Wang, L. Xu, and X. Zhang, 2018, “Wideband tunable optoelectronic oscillator based on a microwave photonic filter with an ultra-narrow passband,” Opt. Lett. 43, 2328–2331.
- Tang, J., T. Hao, W. Li, D. Domenech, R. Baños, P. Muñoz, N. Zhu, J. Capmany, and M. Li, 2018, “Integrated optoelectronic oscillator,” Opt. Express 26, 12257–12265.
- Tang, S., and J. M. Liu, 2001a, “Chaotic pulsing and quasi-periodic route to chaos in a semiconductor laser with delayed opto-electronic feedback,” IEEE J. Quantum Electron. 37, 329–336.
- Tang, S., and J. M. Liu, 2001b, “Message encoding-decoding at through synchronization of chaotic pulsing semiconductor lasers,” Opt. Lett. 26, 1843–1845.
- Tang, S., and J. M. Liu, 2001c, “Synchronization of high-frequency chaotic optical pulses,” Opt. Lett. 26, 596–598.
- Tang, S., and J. M. Liu, 2003, “Experimental verification of anticipated and retarded synchronization in chaotic semiconductor lasers,” Phys. Rev. Lett. 90, 194101.
- Tang, S., R. Vicente, M. C. Chiang, C. R. Mirasso, and J.-M. Liu, 2004, “Nonlinear dynamics of semiconductor lasers with mutual optoelectronic coupling,” IEEE J. Sel. Top. Quantum Electron. 10, 936–943.
- Tang, W. W., and C. Shu, 2005, “Self-starting picosecond optical pulse source using stimulated Brillouin scattering in an optical fiber,” Opt. Express 13, 171–174.
- Tang, Y., M. Wang, J. Sun, B. Wu, J. Zhang, Q. Ding, and T. Li, 2017, “Multifold clock recovery and demultiplexing based on a polarization-dependent phase modulator incorporated frequency-doubling optoelectronic oscillator,” Opt. Commun. 403, 304–311.
- Tang, Y., M. Wang, B. Wu, J. Zhang, Q. Ding, H. Mu, B. Yin, J. Sun, and F. Yan, 2018, “Chromatic dispersion measurement based on a high-Q optoelectronic oscillator incorporating cascaded FIR and IIR filters,” Continuum Mech. Thermodyn. 1, 1205–1214.
- Tang, Z., S. Pan, D. Zhu, R. Guo, Y. Zhao, M. Pan, D. Ben, and J. Yao, 2012, “Tunable optoelectronic oscillator based on a polarization modulator and a chirped FBG,” IEEE Photonics Technol. Lett. 24, 1487–1489.
- Tang, Z., F. Zhang, and S. Pan, 2014, “Photonic microwave downconverter based on an optoelectronic oscillator using a single dual-drive Mach-Zehnder modulator,” Opt. Express 22, 305.
- Taubman, M. S., H. Wiseman, D. E. McClelland, and H.-A. Bachor, 1995, “Intensity feedback effects on quantum-limited noise,” J. Opt. Soc. Am. B 12, 1792–1800.
- Teng, Y., Y. Chen, B. Zhang, J. Li, L. Lu, Y. Zhu, and P. Zhang, 2016, “Generation of low phase-noise frequency-sextupled signals based on multimode optoelectronic oscillator and cascaded Mach-Zehnder modulators,” IEEE Photonics J. 8, 7803708.
- Terra, O., 2019a, “Chromatic dispersion measurement in optical fibers using optoelectronic oscillations,” Opt. Laser Technol. 115, 292–297.
- Terra, O., 2019b, “Optoelectronic oscillations for thermo-optic coefficient measurement of optical fibers,” Meas. Sci. Technol. 30, 035205.
- Tezuka, M., K. Kanno, and M. Bunsen, 2016, “Reservoir computing with a slowly modulated mask signal for preprocessing using a mutually coupled optoelectronic system,” Jpn. J. Appl. Phys. 55, 08RE06.
- Tian, W., L. Zhang, J. Ding, S. Shao, X. Fu, and L. Yang, 2018, “Ultrafast physical random bit generation from a chaotic oscillator with a silicon modulator,” Opt. Lett. 43, 4839–4842.
- Tong, G., T. Jin, H. Chi, X. Zhu, T. Lai, and X. Wu, 2017, “A novel optoelectronic oscillator based on Brillouin-induced slow light effect,” IEEE Photonics Technol. Lett. 29, 1375–1378.
- Totz, J. F., J. Rode, M. R. Tinsley, K. Showalter, and H. Engel, 2018, “Spiral wave chimera states in large populations of coupled chemical oscillators,” Nat. Phys. 14, 282–285.
- Tseng, W.-H., and K.-M. Feng, 2012, “Enhancing long-term stability of the optoelectronic oscillator with a probe-injected fiber delay monitoring mechanism,” Opt. Express 20, 1597–1607.
- Tsuchida, H., and M. Suzuki, 2005, “ optical clock recovery using an injection-locked optoelectronic oscillator,” IEEE Photonics Technol. Lett. 17, 211–213.
- Uchida, A., K. Mizumura, and S. Yoshimori, 2006, “Chaotic dynamics and synchronization in microchip solid-state lasers with optoelectronic feedback,” Phys. Rev. E 74, 066206.
- Uchida, A., F. Rogister, J. García-Ojalvo, and R. Roy, 2005, “Synchronization and communication with chaotic laser systems,” in Progress in Optics, Vol. 48, edited by E. Wolf (Elsevier, New York), pp. 203–341.
- Uchida, A., et al., 2008, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2, 728–732.
- Udaltsov, V. S., J.-P. Goedgebuer, L. Larger, J.-B. Cuenot, P. Levy, and W. T. Rhodes, 2003, “Cracking chaos-based encryption systems ruled by nonlinear time delay differential equations,” Phys. Lett. A 308, 54–60.
- Udaltsov, V. S., J.-P. Goedgebuer, L. Larger, and W. T. Rhodes, 2001, “Dynamics of non-linear feedback systems with short time-delays,” Opt. Commun. 195, 187–196.
- Urick, V. J., P. S. Devgan, J. D. McKinney, F. Bucholtz, and K. J. Williams, 2009, “Channelisation of radio-frequency signals using optoelectronic oscillator,” Electron. Lett. 45, 1242–1244.
- Ustinov, A. B., A. A. Nikitin, V. V. Lebedev, A. A. Serebrennikov, A. V. Shamray, A. V. Kondrashov, and B. A. Kalinikos, 2018, “A low phase noise tunable microwave spin wave optoelectronic oscillator,” J. Phys. Conf. Ser. 1038, 012033.
- Vallée, R., and C. Delisle, 1985, “Mode description of the dynamical evolution of an acousto-optic bistable device,” IEEE J. Quantum Electron. 21, 1423–1428.
- Vallet, M., M. Romanelli, G. Loas, F. Van Dijk, and M. Alouini, 2016, “Self-stabilized optoelectronic oscillator using frequency-shifted feedback and a delay line,” IEEE Photonics Technol. Lett. 28, 1088–1091.
- Van der Sande, G., D. Brunner, and M. C. Soriano, 2017, “Advances in photonic reservoir computing,” Nanophotonics 6, 561–576.
- Van Dijk, F., A. Enard, X. Buet, F. Lelarge, and G.-H. Duan, 2008, “Phase noise reduction of a quantum dash mode-locked laser in a millimeter-wave coupled opto-electronic oscillator,” J. Lightwave Technol. 26, 2789–2794.
- VanWiggeren, G. D., and R. Roy, 1998a, “Communication with chaotic lasers,” Science 279, 1198–1200.
- VanWiggeren, G. D., and R. Roy, 1998b, “Optical communication with chaotic waveforms,” Phys. Rev. Lett. 81, 3547–3550.
- Verstraeten, D., B. Schrauwen, M. D’Haene, and D. Stroobandt, 2007, “An experimental unification of reservoir computing methods,” Neural Netw. 20, 391–403.
- Vicente, R., J. Dauden, P. Colet, and R. Toral, 2005, “Analysis and characterization of the hyperchaos generated by a semiconductor laser subject to a delayed feedback loop,” IEEE J. Quantum Electron. 41, 541–548.
- Volyanskiy, K., Y. K. Chembo, L. Larger, and E. Rubiola, 2010, “Contribution of laser frequency and power fluctuations to the microwave phase noise of optoelectronic oscillators,” J. Lightwave Technol. 28, 2730–2735.
- Volyanskiy, K., P. Salzenstein, H. Tavernier, M. Pogurmirskiy, Y. K. Chembo, and L. Larger, 2010, “Compact optoelectronic microwave oscillators using ultra-high Q whispering gallery mode disk-resonators and phase modulation,” Opt. Express 18, 22358–22363.
- Vorontsov, M. A., G. W. Carhart, and R. Dou, 2000, “Spontaneous optical pattern formation in a large array of optoelectronic feedback circuits,” J. Opt. Soc. Am. B 17, 266–274.
- Wang, G., T. Hao, W. Li, N. Zhu, and M. Li, 2019, “Detection of wideband low-power RF signals using a stimulated Brillouin scattering-based optoelectronic oscillator,” Opt. Commun. 439, 133–136.
- Wang, J., J. Yu, W. Miao, B. Sun, S. Jia, W. Wang, and Q. Wu, 2014, “Long-range, high-precision absolute distance measurement based on two optoelectronic oscillators,” Opt. Lett. 39, 4412–4415.
- Wang, L., N. Zhu, W. Li, and J. Liu, 2011, “A frequency-doubling optoelectronic oscillator based on a dual-parallel Mach-Zehnder modulator and a chirped fiber Bragg grating,” IEEE Photonics Technol. Lett. 23, 1688–1690.
- Wang, L. X., N. H. Zhu, J. Y. Zheng, J. G. Liu, and W. Li, 2012, “Chaotic ultra-wideband radio generator based on an optoelectronic oscillator with a built-in microwave photonic filter,” Appl. Opt. 51, 2935–2940.
- Wang, M., and J. Yao, 2013, “Tunable optical frequency comb generation based on an optoelectronic oscillator,” IEEE Photonics Technol. Lett. 25, 2035–2038.
- Wang, P., et al., 2015, “Frequency tunable optoelectronic oscillator based on a directly modulated DFB semiconductor laser under optical injection,” Opt. Express 23, 20450.
- Wang, Q., L. Huo, Y. Xing, D. Wang, X. Chen, C. Lou, and B. Zhou, 2014, “Gaussian-like dual-wavelength prescaled clock recovery with simultaneous frequency-doubled clock recovery using an optoelectronic oscillator,” Opt. Express 22, 2798.
- Wang, W. T., W. Li, and N. H. Zhu, 2014, “Frequency quadrupling optoelectronic oscillator using a single polarization modulator in a Sagnac loop,” Opt. Commun. 318, 162–165.
- Wang, W. Yu., W. Li, W. H. Sun, W. Wang, J. G. Liu, and N. H. Zhu, 2015, “Triangular microwave waveforms generation based on an optoelectronic oscillator,” IEEE Photonics Technol. Lett. 27, 522–525.
- Wang, Y., Y. Shan, L. Pan, X. Wang, C. Meng, W. Dong, and X. Zhang, 2017, “A tunable frequency-decuple optoelectronic oscillator based on frequency comb and stimulated brillouin scattering,” Opt. Quantum Electron. 49, 253.
- Wang, Y., M. Wang, W. Xia, X. Ni, and D. Wu, 2017, “Optical fiber bragg grating pressure sensor based on dual-frequency optoelectronic oscillator,” IEEE Photonics Technol. Lett. 29, 1864–1867.
- Wang, Y., J. Zhang, and J. Yao, 2016, “An optoelectronic oscillator for high sensitivity temperature sensing,” IEEE Photonics Technol. Lett. 28, 1458–1461.
- Wei, Z., R. Wang, T. Pu, G. Sun, T. Fang, and J. Zheng, 2013, “A tunable optoelectronic oscillator based on a tunable microwave attenuator,” Opt. Fiber Technol. 19, 383–386.
- Weicker, L., T. Erneux, O. D’Huys, J. Danckaert, M. Jacquot, Y. Chembo, and L. Larger, 2012, “Strongly asymmetric square waves in a time-delayed system,” Phys. Rev. E 86, 055201.
- Weicker, L., T. Erneux, O. D’Huys, J. Danckaert, M. Jacquot, Y. Chembo, and L. Larger, 2013, “Slow–fast dynamics of a time-delayed electro-optic oscillator,” Phil. Trans. R. Soc. A 371, 20120459.
- Weicker, L., T. Erneux, M. Jacquot, Y. Chembo, and L. Larger, 2012, “Crenelated fast oscillatory outputs of a two-delay electro-optic oscillator,” Phys. Rev. E 85, 026206.
- Williams, C. R. S., T. E. Murphy, R. Roy, F. Sorrentino, T. Dahms, and E. Schöll, 2013, “Experimental observations of group synchrony in a system of chaotic optoelectronic oscillators,” Phys. Rev. Lett. 110, 064104.
- Wishon, M. J., D. Choi, T. Niebur, N. Webster, Y. K. Chembo, E. A. Viktorov, D. S. Citrin, and A. Locquet, 2018, “Low-noise X-band tunable microwave generator based on a semiconductor laser with feedback,” IEEE Photonics Technol. Lett. 30, 1597–1600.
- Woods, D., and T. J. Naughton, 2012, “Photonic neural networks,” Nat. Phys. 8, 257–259.
- Wu, B., M. Wang, Y. Dong, Y. Tang, H. Mu, H. Li, B. Yin, F. Yan, and Z. Han, 2018, “Magnetic field sensor based on a dual-frequency optoelectronic oscillator using cascaded magnetostrictive alloy-fiber Bragg grating-Fabry Perot and fiber Bragg grating-Fabry Perot filters,” Opt. Express 26, 27628–27638.
- Wu, B., M. Wang, J. Sun, B. Yin, H. Chen, T. Li, and S. Jian, 2016, “Frequency- and phase-tunable optoelectronic oscillator based on a DPMZM and SBS effect,” Opt. Commun. 363, 123–127.
- Wu, T., Y. Jiang, C. Ma, Z. Jia, G. Bai, Y. Zi, and F. Huang, 2016, “Simultaneous triangular waveform signal and microwave signal generation based on dual-loop optoelectronic oscillator,” IEEE Photonics J. 8, 7805610.
- Wu, W.-T., Y.-H. Liao, and F.-Y. Lin, 2010, “Noise suppressions in synchronized chaos lidars,” Opt. Express 18, 26155–26162.
- Xia, G.-Q., Z.-M. Wu, and J.-F. Liao, 2009, “Theoretical investigations of cascaded chaotic synchronization and communication based on optoelectronic negative feedback semiconductor lasers,” Opt. Commun. 282, 1009–1015.
- Xiao, K., X. Jin, X. Jin, X. Yu, Q. Tan, and G. Wang, 2019, “Tunable OEO-based photonic RF receiver with image frequency rejection,” Appl. Opt. 58, 2127–2131.
- Xiao, X., S. Li, Z. Xie, S. Peng, D. Wu, X. Xue, X. Zheng, and B. Zhou, 2018, “Photonic harmonic up-converter based on a self-oscillating optical frequency comb using a DP-DPMZM,” Opt. Commun. 413, 48–53.
- Xie, X., T. Sun, H. Peng, C. Zhang, P. Guo, L. Zhu, W. Hu, and Z. Chen, 2014, “Low-noise and broadband optical frequency comb generation based on an optoelectronic oscillator,” Opt. Lett. 39, 785–788.
- Xie, X., C. Zhang, T. Sun, P. Guo, X. Zhu, L. Zhu, W. Hu, and Z. Chen, 2013, “Wideband tunable optoelectronic oscillator based on a phase modulator and a tunable optical filter,” Opt. Lett. 38, 655–7.
- Xie, X., et al., 2017, “Photonic microwave signals with zeptosecond-level absolute timing noise,” Nat. Photonics 11, 44–48.
- Xie, Y.-Y., H.-J. Che, W.-L. Zhao, Y.-X. Huang, W.-H. Xu, X. Li, Q. Kan, and J.-C. Li, 2014, “Dynamics of 1550-nm VCSELs with positive optoelectronic feedback: Theory and experiments,” IEEE Photonics J. 6, 1502508.
- Xie, Z., S. Li, H. Yan, X. Xiao, X. Zheng, and B. Zhou, 2016, “Tunable dual frequency optoelectronic oscillator with low intermodulation based on dual-parallel Mach-Zehnder modulator,” Opt. Express 24, 30282.
- Xiong, J., R. Wang, T. Fang, T. Pu, D. Chen, L. Lu, P. Xiang, J. Zheng, and J. Zhao, 2013, “Low-cost and wideband frequency tunable optoelectronic oscillator based on a directly modulated distributed feedback semiconductor laser,” Opt. Lett. 38, 4128.
- Xu, O., J. Zhang, H. Deng, and J. Yao, 2017, “Dual-frequency optoelectronic oscillator for thermal-insensitive interrogation of a FBG strain sensor,” IEEE Photonics Technol. Lett. 29, 357–360.
- Xu, W., T. Jin, and H. Chi, 2013, “Frequency multiplying optoelectronic oscillator based on nonlinearly-coupled double loops,” Opt. Express 21, 32516.
- Xu, X., J. Dai, Y. Dai, F. Yin, Y. Zhou, J. Li, J. Yin, Q. Wang, and K. Xu, 2015, “Broadband and wide-range feedback tuning scheme for phase-locked loop stabilization of tunable optoelectronic oscillators,” Opt. Lett. 40, 5858.
- Xuan, Z., L. Du, and F. Aflatouni, 2019, “Frequency locking of semiconductor lasers to RF oscillators using hybrid-integrated opto-electronic oscillators with dispersive delay lines,” Opt. Express 27, 10729–10737.
- Yamamoto, Y., N. Imoto, and S. Machida, 1986, “Amplitude squeezing in a semiconductor laser using quantum nondemolition measurement and negative feedback,” Phys. Rev. A 33, 3243–3261.
- Yanchuk, S., and G. Giacomelli, 2017, “Spatio-temporal phenomena in complex systems with time delays,” J. Phys. A 50, 103001.
- Yang, B., X. Jin, Y. Chen, H. Chi, X. Zhang, S. Zheng, E. Tangdiongga, and T. Koonen, 2013, “Photonic microwave up-conversion of vector signals based on an optoelectronic oscillator,” IEEE Photonics Technol. Lett. 25, 1758–1761.
- Yang, B., X. Jin, H. Chi, X. Zhang, S. Zheng, S. Zou, and H. Chen, 2012, “Optically tunable frequency-doubling Brillouin optoelectronic oscillator with carrier phase-shifted double sideband modulation,” IEEE Photonics Technol. Lett. 24, 1051–1053.
- Yang, J., Y. Jin-Long, W. Yao-Tian, Z. Li-Tai, and Y. En-Ze, 2007, “An optical domain combined dual-loop optoelectronic oscillator,” IEEE Photonics Technol. Lett. 19, 807–809.
- Yang, Y., et al., 2018, “Refractive index and temperature sensing based on an optoelectronic oscillator incorporating a Fabry-Perot fiber bragg grating,” IEEE Photonics J. 10, 6800309.
- Yao, J., 2017, “Optoelectronic oscillators for high speed and high resolution optical sensing,” J. Lightwave Technol. 35, 3489–3497.
- Yao, T., D. Zhu, D. Ben, and S. Pan, 2015, “Distributed MIMO chaotic radar based on wavelength-division multiplexing technology,” Opt. Lett. 40, 1631–1634.
- Yao, X. S., 1997, “High-quality microwave signal generation by use of Brillouin scattering in optical fibers,” Opt. Lett. 22, 1329–1331.
- Yao, X. S., L. Davis, and L. Maleki, 2000, “Coupled optoelectronic oscillators for generating both RF signal and optical pulses,” J. Lightwave Technol. 18, 73–78.
- Yao, X. S., and G. Lutes, 1996, “A high-speed photonic clock and carrier recovery device,” IEEE Photonics Technol. Lett. 8, 688–690.
- Yao, X. S., and L. Maleki, 1994, “High frequency optical subcarrier generator,” Electron. Lett. 30, 1525–1526.
- Yao, X. S., and L. Maleki, 1996a, “Converting light into spectrally pure microwave oscillation,” Opt. Lett. 21, 483–485.
- Yao, X. S., and L. Maleki, 1996b, “Optoelectronic microwave oscillator,” J. Opt. Soc. Am. B 13, 1725–1735.
- Yao, X. S., and L. Maleki, 1996c, “Optoelectronic oscillator for photonic systems,” IEEE J. Quantum Electron. 32, 1141–1149.
- Yao, X. S., and L. Maleki, 2000, “Multiloop optoelectronic oscillator,” IEEE J. Quantum Electron. 36, 79–84.
- Yaowen, L., L. Haibin, Z. Hong, and W. Yinghai, 1999, “Self-similarity in a system with a short-time delayed feedback,” Phys. Lett. A 256, 166–172.
- Ye, L., Y. Ma, W. Wang, J. Wang, J. Yu, and K. Song, 2019, “High-sensitivity angular velocity measurement based on bidirectional coupled optoelectronic oscillator,” Opt. Commun. 440, 201–206.
- Yin, B., M. Wang, S. Wu, Y. Tang, S. Feng, and H. Zhang, 2017, “High sensitivity axial strain and temperature sensor based on dual-frequency optoelectronic oscillator using PMFBG Fabry-Perot filter,” Opt. Express 25, 14106–14113.
- Youn, S.-H., W. Jhe, J.-H. Lee, and J.-S. Chang, 1994, “Effect of vacuum fluctuations on the quantum-mechanical amplitude noise of a laser diode in feedback systems,” J. Opt. Soc. Am. B 11, 102–108.
- Yu, N., E. Salik, and L. Maleki, 2005, “Ultralow-noise mode-locked laser with coupled optoelectronic oscillator configuration,” Opt. Lett. 30, 1231–1233.
- Zhang, C., X. Jin, X. Jin, X. Yu, L. Feng, H. Yang, H. Chi, and X. Zhang, 2018, “Photonic vector signal generation based on OEO and optical coherent QPSK modulation,” IEEE Photonics Technol. Lett. 30, 1711–1714.
- Zhang, F., B. Gao, P. Zhou, and S. Pan, 2016, “Triangular pulse generation by polarization multiplexed optoelectronic oscillator,” IEEE Photonics Technol. Lett. 28, 1645–1648.
- Zhang, J., L. Gao, and J. Yao, 2014, “Tunable optoelectronic oscillator incorporating a single passband microwave photonic filter,” IEEE Photonics Technol. Lett. 26, 326–329.
- Zhang, J., M. Wang, Y. Tang, Q. Ding, B. Wu, Y. Yang, H. Mu, B. Yin, and S. Jian, 2018, “High-sensitivity measurement of angular velocity based on an optoelectronic oscillator with an intra-loop Sagnac interferometer,” Opt. Lett. 43, 2799–2802.
- Zhang, J., and J. Yao, 2018, “Parity-time-symmetric optoelectronic oscillator,” Sci. Adv. 4, eaar6782.
- Zhang, L., A. K. Poddar, U. L. Rohde, and A. S. Daryoush, 2014, “Comparison of optical self-phase locked loop techniques for frequency stabilization of oscillators,” IEEE Photonics J. 6, 7903015.
- Zhang, T., J. Xiong, P. Wang, J. Zheng, F. Zhang, T. Pu, and X. Chen, 2015, “Tunable optoelectronic oscillator using FWM dynamics of an optical-injected DFB Laser,” IEEE Photonics Technol. Lett. 27, 1313–1316.
- Zhang, T., J. Zhu, T. Guo, J. Wang, and S. Ye, 2013, “Improving accuracy of distance measurements based on an optoelectronic oscillator by measuring variation of fiber delay,” Appl. Opt. 52, 3495–3499.
- Zhang, W., and J. Yao, 2018, “Silicon photonic integrated optoelectronic oscillator for frequency-tunable microwave generation,” J. Lightwave Technol. 36, 4655–4663.
- Zhang, W. L., W. Pan, B. Luo, X. F. Li, X. H. Zuo, and M. Y. Wang, 2007, “Theoretical study on polarization dynamics of VCSELs with negative optoelectronic feedback,” Appl. Opt. 46, 7262–7266.
- Zhang, X., J. Zheng, T. Pu, Y. Zhang, Y. Shi, J. Li, Y. Li, H. Zhu, and X. Chen, 2019, “Simple frequency-tunable optoelectronic oscillator using integrated multi-section distributed feedback semiconductor laser,” Opt. Express 27, 7036–7046.
- Zhang, Y., D. Hou, and J. Zhao, 2014, “Long-term frequency stabilization of an optoelectronic oscillator using phase-locked loop,” J. Lightwave Technol. 32, 2408–2414.
- Zhao, J., Y. Zhang, H. Lu, D. Hou, S. Zhang, and Z. Wang, 2016, “Chip scale atomic resonator frequency stabilization system with ultra-low power consumption for optoelectronic oscillators,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 63, 1022–1027.
- Zhao, Q., H. Yin, W. Shi, D. Huang, and F. Liu, 2016, “Identification and suppression of the time delay signature of wavelength chaos,” Opt. Rev. 23, 689–694.
- Zhao, Q., H. Yin, and H. Zhu, 2018, “Simultaneous recognition of two channels of optical packet headers utilizing reservoir computing subject to mutual-coupling optoelectronic feedback,” Optik 157, 951–956.
- Zheng, J., W. Sun, W. Wang, Y. Tong, W. Y. Wang, X. Wang, H. Yuan, J. Liu, and N. Zhu, 2015, “Frequency-doubling OEO using the polarization property of LiNbO3 modulator,” IEEE Photonics Technol. Lett. 27, 1864–1867.
- Zheng, J., H. Wang, J. Fu, L. Wei, S. Pan, L. Wang, J. Liu, and N. Zhu, 2014, “Fiber-distributed ultra-wideband noise radar with steerable power spectrum and colorless base station,” Opt. Express 22, 4896–4907.
- Zheng, Y. G., and Z. H. Wang, 2009, “Stability and Hopf bifurcations of an optoelectronic time-delay feedback system,” Nonlinear Dyn. 57, 125–134.
- Zhenghua, Z., Y. Chun, C. Zhewei, C. Yuhua, and L. Xianghua, 2016, “An ultra-low phase noise and highly stable optoelecronic oscillator utilizing IL-PLL,” IEEE Photonics Technol. Lett. 28, 516–519.
- Zhou, P., F. Zhang, B. Gao, and S. Pan, 2016, “Optical pulse generation by an optoelectronic oscillator with optically injected semiconductor laser,” IEEE Photonics Technol. Lett. 28, 1827–1830.
- Zhou, W., and G. Blasche, 2005, “Injection-locked dual opto-electronic oscillator with ultra-low phase noise and ultra-low spurious level,” IEEE Trans. Microwave Theory Tech. 53, 929–933.
- Zhu, D., T. Du, and S. Pan, 2018, “A coupled optoelectronic oscillator with performance improved by enhanced spatial hole burning in an erbium-doped fiber,” J. Lightwave Technol. 36, 3726–3732.
- Zhu, D., S. Pan, and D. Ben, 2012, “Tunable frequency-quadrupling dual-loop optoelectronic oscillator,” IEEE Photonics Technol. Lett. 24, 194–196.
- Zhu, X., M. Cheng, L. Deng, X. Jiang, C. Ke, M. Zhang, S. Fu, M. Tang, P. Shum, and D. Liu, 2017, “An optically coupled electro-optic chaos system with suppressed time-delay signature,” IEEE Photonics J. 9, 6601009.
- Zhu, Y., X. Jin, H. Chi, S. Zheng, and X. Zhang, 2014, “High-sensitivity temperature sensor based on an optoelectronic oscillator,” Appl. Opt. 53, 5084–5087.
- Zhu, Y., X. Jin, X. Jin, X. Yu, S. Zheng, H. Chi, and X. Zhang, 2016, “A novel scheme of microwave generation based on heterodyne phase locking of an OEO,” IEEE Photonics Technol. Lett. 28, 2637–2640.
- Zhu, Z., M. Merklein, D.-Y. Choi, K. Vu, P. Ma, S. J. Madden, and B. J. Eggleton, 2019, “Highly sensitive, broadband microwave frequency identification using a chip-based brillouin optoelectronic oscillator,” Opt. Express 27, 12855–12868.
- Zou, X., M. Li, W. Pan, B. Luo, L. Yan, and L. Shao, 2014, “Optical length change measurement via RF frequency shift analysis of incoherent light source based optoelectronic oscillator,” Opt. Express 22, 11129–11139.
- Zou, X., X. Liu, W. Li, P. Li, W. Pan, L. Yan, and L. Shao, 2016, “Optoelectronic oscillators (OEOs) to sensing, measurement, and detection,” IEEE J. Quantum Electron. 52, 0601116.