- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Attractor hopping between polarization dynamical states in a vertical-cavity surface-emitting laser subject to parallel optical injection

Florian Denis-le Coarer1,2, Ana Quirce3, Angel Valle1,*, Luis Pesquera1, Miguel A. Rodríguez1, Krassimir Panajotov3,4, and Marc Sciamanna2

  • 1Instituto de Física de Cantabria, Consejo Superior de Investigaciones Científicas (CSIC), Universidad de Cantabria, 39005 Santander, Spain
  • 2Chair in Photonics, LMOPS Laboratory, CentraleSupélec, Université de Paris-Saclay and Université de Lorraine, 57070 Metz, France
  • 3Vrije Universiteit Brussel, Faculty of Engineering Sciences, Brussels Photonics Team (B-PHOT), Pleinlaan 2, 1050 Brussels, Belgium
  • 4Institute of Solid State Physics, 72 Tzarigradsko, Chaussee Blvd., 1784 Sofia, Bulgaria

  • *valle@ifca.unican.es
PDF

Phys. Rev. E 97, 032201 – Published 2 March, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.032201

Abstract

We present experimental and theoretical results of noise-induced attractor hopping between dynamical states found in a single transverse mode vertical-cavity surface-emitting laser (VCSEL) subject to parallel optical injection. These transitions involve dynamical states with different polarizations of the light emitted by the VCSEL. We report an experimental map identifying, in the injected power-frequency detuning plane, regions where attractor hopping between two, or even three, different states occur. The transition between these behaviors is characterized by using residence time distributions. We find multistability regions that are characterized by heavy-tailed residence time distributions. These distributions are characterized by a −1.83±0.17 power law. Between these regions we find coherence enhancement of noise-induced attractor hopping in which transitions between states occur regularly. Simulation results show that frequency detuning variations and spontaneous emission noise play a role in causing switching between attractors. We also find attractor hopping between chaotic states with different polarization properties. In this case, simulation results show that spontaneous emission noise inherent to the VCSEL is enough to induce this hopping.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (56)

  1. A. N. Pisarchik and U. Feudel, Phys. Rep. 540, 167 (2014).
  2. F. T. Arecchi and F. Lisi, Phys. Rev. Lett. 49, 94 (1982).
  3. F. T. Arecchi, R. Meucci, G. Puccioni, and J. Tredicce, Phys. Rev. Lett. 49, 1217 (1982).
  4. U. Feudel and C. Grebogi, Chaos 7, 597 (1997).
  5. L. Poon and C. Grebogi, Phys. Rev. Lett. 75, 4023 (1995).
  6. S. Kraut, U. Feudel, and C. Grebogi, Phys. Rev. E 59, 5253 (1999).
  7. S. Kraut and U. Feudel, Phys. Rev. E 66, 015207 (2002).
  8. G. Huerta-Cuellar, A. N. Pisarchik, and Y. O. Barmenkov, Phys. Rev. E 78, 035202 (2008).
  9. Y.-C. Lai and C. Grebogi, Phys. Rev. E 52, R3313 (1995).
  10. N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993).
  11. J. F. Heagy, N. Platt, and S. M. Hammel, Phys. Rev. E 49, 1140 (1994).
  12. P. W. Hammer, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994).
  13. T. John, U. Behn, and R. Stannarius, Phys. Rev. E 65, 046229 (2002).
  14. T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, Opt. Lett. 24, 1275 (1999).
  15. A. N. Pisarchik and V. J. Pinto-Robledo, Phys. Rev. E 66, 027203 (2002).
  16. S. Osborne, A. Amann, D. Bitauld, and S. O'Brien, Phys. Rev. E 85, 056204 (2012).
  17. A. Campos-Mejia, A. N. Pisarchik, and D. A. Arroyo-Almanza, Chaos, Solitons, Fractals 54, 96 (2013).
  18. K. Al Naimee, I. Leyva, I. P. Mariño, R. Meucci, and F. T. Arecchi, Phys. Rev. A 77, 063803 (2008).
  19. R. Meucci, K. Al Naimee, M. Ciszak, S. De Nicola, S. F. Abdalah, and F. T. Arecchi, Eur. Phys. J.: Spec. Top. 223, 1729 (2014).
  20. M. Sciamanna and K. A. Shore, Nat. Photonics 9, 151 (2015).
  21. S. Wieczorek, B. Krauskopf, T. Simpson, and D. Lenstra, Phys. Rep. 416, 1 (2005).
  22. K. Panajotov, I. Gatare, A. Valle, H. Thienpont, and M. Sciamanna, IEEE J. Quantum Electron. 45, 1473 (2009).
  23. M. Adams, A. Hurtado, D. Labukhin, and I. D. Henning, Chaos 20, 037102 (2010).
  24. J. P. Toomey, C. Nichkawde, D. M. Kane, K. Schires, I. Henning, A. Hurtado, and M. J. Adams, Opt. Express 20, 10256 (2012).
  25. I. Gatare, M. Sciamanna, J. Buesa, H. Thienpont, and K. Panajotov, Appl. Phys. Lett. 88, 101106 (2006).
  26. R. Michalzik, VCSELs: Fundamentals, Technology and Applications of Vertical-Cavity Surface-Emitting Lasers (Springer, New York, 2012), Vol. 166.
  27. M. San Miguel, Q. Feng, and J. V. Moloney, Phys. Rev. A 52, 1728 (1995).
  28. J. Martin-Regalado, F. Prati, M. San Miguel, and N. Abraham, IEEE J. Quantum Electron. 33, 765 (1997).
  29. A. Valle, L. Pesquera, and K. Shore, IEEE Photonics Technol. Lett. 9, 557 (1997).
  30. K. Panajotov, B. Ryvkin, J. Danckaert, M. Peeters, H. Thienpont, and I. Veretennicoff, IEEE Photonics Technol. Lett. 10, 6 (1998).
  31. M. Virte, K. Panajotov, H. Thienpont, and M. Sciamanna, Nat. Photonics 7, 60 (2013).
  32. Y. Hong, K. Shore, A. Larsson, M. Ghisoni, and J. Halonen, IEEE Proc.: Optoelectron. 148, 31 (2001).
  33. J. B. Altés, I. Gatare, K. Panajotov, H. Thienpont, and M. Sciamanna, IEEE J. Quantum Electron. 42, 198 (2006).
  34. K. H. Jeong, K. H. Kim, S. H. Lee, M. H. Lee, B.-S. Yoo, and K. A. Shore, IEEE Photonics Technol. Lett. 20, 779 (2008).
  35. H. Kawaguchi, IEEE J. Sel. Top. Quantum Electron. 3, 1254 (1997).
  36. Z. G. Pan, S. Jiang, M. Dagenais, R. A. Morgan, K. Kojima, M. T. Asom, R. E. Leibenguth, G. D. Guth, and M. W. Focht, Appl. Phys. Lett. 63, 2999 (1993).
  37. T. Mori, Y. Yamayoshi, and H. Kawaguchi, Appl. Phys. Lett. 88, 101102 (2006).
  38. J. Sakaguchi, T. Katayama, and H. Kawaguchi, Opt. Express 18, 12362 (2010).
  39. T. Katayama, D. Hayashi, and H. Kawaguchi, IEEE Photonics Technol. Lett. 28, 2062 (2016).
  40. S. H. Lee, H. W. Jung, K. H. Kim, M. H. Lee, B.-S. Yoo, J. Roh, and K. A. Shore, IEEE Photonics Technol. Lett. 22, 1759 (2010).
  41. J. B. Gao, S. K. Hwang, and J. M. Liu, Phys. Rev. A 59, 1582 (1999).
  42. A. Campos-Mejia, A. Pisarchik, R. Sevilla-Escoboza, G. Huerta-Cuellar, and V. Vera-Avila, Opt. Express 23, 10428 (2015).
  43. M. B. Willemsen, M. U. F. Khalid, M. P. van Exter, and J. P. Woerdman, Phys. Rev. Lett. 82, 4815 (1999).
  44. D. Ziemann, R. Aust, B. Lingnau, E. Schöll, and K. Ludge, Europhys. Lett. 103, 14002 (2013).
  45. M. Arizaleta Arteaga, M. Valencia, M. Sciamanna, H. Thienpont, M. López-Amo, and K. Panajotov, Phys. Rev. Lett. 99, 023903 (2007).
  46. S. Barbay, G. Giacomelli, and F. Marin, Phys. Rev. E 61, 157 (2000).
  47. A. Quirce, P. Pérez, A. Popp, Á. Valle, L. Pesquera, Y. Hong, H. Thienpont, and K. Panajotov, Opt. Lett. 41, 2664 (2016).
  48. A. Quirce, A. Popp, F. Denis-le Coarer, P. Pérez, Á. Valle, L. Pesquera, Y. Hong, H. Thienpont, K. Panajotov, and M. Sciamanna, J. Opt. Soc. Am. B 34, 447 (2017).
  49. F. Denis-le Coarer, A. Quirce, P. Pérez, Á. Valle, L. Pesquera, M. Sciamanna, H. Thienpont, and K. Panajotov, IEEE J. Sel. Top. Quantum Electron. 23, 1800910 (2017).
  50. F. Denis-le Coarer, A. Quirce, Á. Valle, L. Pesquera, M. Sciamanna, H. Thienpont, and K. Panajotov, Opt. Lett. 42, 2130 (2017).
  51. J. F. Martinez Avila, H. L. D. de S. Cavalcante, and J. R. Rios Leite, Phys. Rev. Lett. 93, 144101 (2004).
  52. A. K. Dal Bosco, D. Wolfersberger, and M. Sciamanna, Europhys. Lett. 101, 24001 (2013).
  53. P. Pérez, A. Valle, and L. Pesquera, J. Opt. Soc. Am. B 31, 2574 (2014).
  54. P. Pérez, A. Valle, I. Noriega, and L. Pesquera, J. Lightwave Technol. 32, 1601 (2014).
  55. J. R. Tredicce, G.-L. Lippi, P. Mandel, B. Charasse, A. Chevalier, and B. Picqué, Am. J. Phys. 72, 799 (2004).
  56. See http://luzwavelabs.com/modular-platform.

Outline

Information

Phys. Rev. E 97, 032201– Published 2 March, 2018
  • Received 28 September 2017
  • Revised 18 January 2018
Crossmark - Check for updates button

©2018 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation