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Volume 55 Issue 8
Aug.  2023
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Xu Jun, Li Peng, Shang Yan, Qian Zhenghua, Ma Tingfeng. The theoretical analysis and experimental investigation of sub-wavelength focusing via concave lens. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(8): 1742-1752. DOI: 10.6052/0459-1879-23-148
Citation: Xu Jun, Li Peng, Shang Yan, Qian Zhenghua, Ma Tingfeng. The theoretical analysis and experimental investigation of sub-wavelength focusing via concave lens. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(8): 1742-1752. DOI: 10.6052/0459-1879-23-148
shu

THE THEORETICAL ANALYSIS AND EXPERIMENTAL INVESTIGATION OF SUB-WAVELENGTH FOCUSING VIA CONCAVE LENS

  • *.

    National Key Laboratory of Aerospace Structural Mechanics and Control, College of Aeronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

  • †.

    National Key Laboratory of Helicopter Dynamics, College of Aeronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

  • **.

    Key Laboratory of Impact and Safety Engineering of Ministry of Education, Ningbo University, Ningbo 315211, Zhejiang, China

  • Received Date: April 15, 2023
  • Accepted Date: July 02, 2023
  • Available Online: July 03, 2023
    Graphical Abstract
    • Abstract
  • In order to improve working performance of traditional plane lens, i.e., increase energy at focal point, reduce focusing size, and achieve subwavelength focusing, a concave lens for focusing incident flexural wave is designed based on the plate thickness variation. Firstly, the transmission coefficient and phase variation are obtained by utilizing the Timoshenko beam theory, based on which the lens design is performed. After that, the working performance of concave lens designed is simulated via the frequency analysis in structural mechanics module of COMSOL multiphysics software, including the focal position, energy distribution, focusing size, and so forth, which are further compared with the traditional plane lens. Finally, the experimental measurements are carried out to further validate and conform the design scheme. It is demonstrated that the concave lens can focus the incident flexural wave at the specific position, with its performance better than the plane lens, because energy concentrated is higher and the focusing size is smaller. Specifically, it exhibits subwavelength focusing phenomenon with the focusing size smaller than half wavelength. Additionally, the concave lens is broadband, which can work at a frequency region centered at designed frequency even if the whole structure is maintained. The present design scheme is easy realized for engineering application, and the concave lens exhibits better performance, which can also provide guidance for the lens design in acoustics and optics.
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    • References (34)
  • [1]
    姜恒, 黄国良. 弹性波与力学超材料设计与应用专题序. 力学学报, 2022, 54(10): 2676-2677 (Jiang Heng, Huang Guoliang. Preface of theme articles on design and application of elastic wave and mechanical metamaterials. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(10): 2676-2677 (in Chinese) doi: 10.6052/0459-1879-22-481

    Jiang Heng, Huang Guoliang. Preface of theme articles on design and application of elastic wave and mechanical metamaterials. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(10): 2676-2677 (in Chinese) doi: 10.6052/0459-1879-22-481
    [2]
    夏建平, 葛勇, 孙宏祥等. 基于近零折射率材料的声非对称聚焦透镜. 声学学报, 2019, 44(4): 765-771 (Xia Jianping, Ge Yong, Sun Hongxiang, et al. Acoustic asymmetric focusing lens by near-zero refractive index material. Acta Acustica, 2019, 44(4): 765-771 (in Chinese) doi: 10.15949/j.cnki.0371-0025.2019.04.038

    Xia Jianping, Ge Yong, Sun Hongxiang, et al. Acoustic asymmetric focusing lens by near-zero refractive index material. Acta Acustica, 2019, 44(4): 765-771 (in Chinese) doi: 10.15949/j.cnki.0371-0025.2019.04.038
    [3]
    王丹凤, 任致远, 庄国志. 梯度折射率超材料透镜. 科学通报, 2022, 67(12): 1279-1289 (Wang Danfeng, Ren Zhiyuan, Zhuang Guozhi. A review of gradient index metamaterials lenses. Chinese Science Bulletin, 2022, 67(12): 1279-1289 (in Chinese) doi: 10.1360/TB-2021-0523

    Wang Danfeng, Ren Zhiyuan, Zhuang Guozhi. A review of gradient index metamaterials lenses. Chinese Science Bulletin, 2022, 67(12): 1279-1289 (in Chinese) doi: 10.1360/TB-2021-0523
    [4]
    Hu CJ, Xue SW, Yin YH, et al. Acoustic super-resolution imaging based on solid immersion 3D Maxwell's fish-eye lens. Applied Physics Letters, 2022, 120: 192202 doi: 10.1063/5.0093339
    [5]
    Zhao LX, Lai CQ, Yu M. Modified structural Luneburg lens for broadband focusing and collimation. Mechanical Systems and Signal Processing, 2020, 144: 106868 doi: 10.1016/j.ymssp.2020.106868
    [6]
    Zhao LX, Horiuchi T, Yu M. Broadband acoustic collimation and focusing using reduced aberration acoustic Luneburg lens. Journal of Applied Physics, 2021, 130: 214901 doi: 10.1063/5.0064571
    [7]
    Ma TX, Li ZY, Zhang CZ, et al. Energy harvesting of Rayleigh surface waves by a phononic crystal Luneburg lens. International Journal of Mechanical Sciences, 2022, 227: 107435 doi: 10.1016/j.ijmecsci.2022.107435
    [8]
    Zhu HF, Semperlotti F. Anomalous refraction of acoustic guided waves in solids with geometrically tapered metasurfaces. Physcial Review Letters, 2016, 117: 034302 doi: 10.1103/PhysRevLett.117.034302
    [9]
    Climente A, Torrent D, Sánchez-Dehesa J. Gradient index lenses for flexural waves based on thickness variations. Applied Physics Letters, 2014, 105: 064101 doi: 10.1063/1.4893153
    [10]
    史惠琦, 王惠明. 一种新型介电弹性体仿生可调焦透镜的变焦分析. 力学学报, 2020, 52(6): 1719-1729 (Shi Huiqi, Wang Huiming. Theoretical nonlinear analysis of a biomimetic tunable lens driven by dielectric elastomer. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1719-1729 (in Chinese) doi: 10.6052/0459-1879-20-212

    Shi Huiqi, Wang Huiming. Theoretical nonlinear analysis of a biomimetic tunable lens driven by dielectric elastomer. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1719-1729 (in Chinese) doi: 10.6052/0459-1879-20-212
    [11]
    Wang ZY, Zhang P, Nie XF, et al. Focusing of liquid surface waves by gradient index lens. Europhysics Letters, 2014, 108: 24003 doi: 10.1209/0295-5075/108/24003
    [12]
    Darabi A, Leamy MJ. Analysis and experimental validation of an optimized gradient-index phononic-crystal lens. Physical Review Applied, 2018, 10: 024045 doi: 10.1103/PhysRevApplied.10.024045
    [13]
    Jin YB, Djafari-Rouhani B, Torrent D. Gradient index phononic crystals and metamaterials. Nanophonics, 2019, 8: 685-701
    [14]
    Yu NF, Genevet P, Kats MA, et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science, 2011, 334: 333-337 doi: 10.1126/science.1210713
    [15]
    Li Y, Liang B, Gu ZM, et al. Reflected wavefront manipulation based on ultrathin planar acoustic metasurfaces. Scientific Reports, 2013, 3: 2546 doi: 10.1038/srep02546
    [16]
    Zhang H, Xiao Y, Wen JH, et al. Ultra-thin smart acoustic metasurface for low-frequency sound insulation. Applied Physics Letters, 2016, 108: 141902 doi: 10.1063/1.4945664
    [17]
    Wang YF, Wang Y, Wu B, et al. Tunable and active phononic crystals and metamaterials. Applied Mechanics Reviews, 2020, 72: 040801 doi: 10.1115/1.4046222
    [18]
    Mei J, Wu Y. Controllable transmission and total reflection through an impedance-matched acoustic metasurface. New Journal of Physics, 2014, 16: 123007 doi: 10.1088/1367-2630/16/12/123007
    [19]
    Zhang J, Su XS, Liu YL, et al. Metasurface constituted by thin composite beams to steer flexural waves in thin plates. International Journal of Solids and Structures, 2019, 162: 14-20 doi: 10.1016/j.ijsolstr.2018.11.025
    [20]
    Cao LY, Yang ZC, Xu YL, et al. Pillared elastic metasurface with constructive interference for flexural wave manipulation. Mechanical Systems and Signal Processing, 2021, 146: 107035 doi: 10.1016/j.ymssp.2020.107035
    [21]
    Shen C, Xie YB, Sui N, et al. Broadband acoustic hyperbolic metamaterial. Physical Review Letters, 2015, 115: 254301 doi: 10.1103/PhysRevLett.115.254301
    [22]
    Jia H, Ke MZ, Hao R, et al. Subwavelength imaging by a simple planar acoustic superlens. Applied Physics Letters, 2010, 97: 173507 doi: 10.1063/1.3507893
    [23]
    Liu AP, Zhou XM, Huang GL, et al. Super-resolution imaging by resonant tunneling in anisotropic acoustic metamaterials. The Journal of the Acoustical Society of America, 2012, 132: 2800-2806 doi: 10.1121/1.4744932
    [24]
    Qi SB, Li Y, Assouar B. Acoustic focusing and energy confinement based on multilateral metasurfaces. Physical Review Applied, 2017, 7: 054006 doi: 10.1103/PhysRevApplied.7.054006
    [25]
    宋世超, 王彬, 李鹏等. A0模态Lamb波聚焦透镜的结构设计及实验研究. 声学学报, 2023, 48(1): 154-161 (Song Shichao, Wang Bin, Li Peng, et al. The structural design and experimental investigation of focusing lens of A0 mode Lamb waves. Acta Acustica, 2023, 48(1): 154-161 (in Chinese)

    Song Shichao, Wang Bin, Li Peng, et al. The structural design and experimental investigation of focusing lens of A0 mode Lamb waves. Acta Acustica, 2023, 48(1): 154-161 (in Chinese)
    [26]
    Liu L, Hussein MI. Wave motion in periodic flexural beams and characterization of the transition between Bragg scattering and local resonance. Journal of Applied Mechanics, 2012, 79: 011003 doi: 10.1115/1.4004592
    [27]
    Geng Q, Wang T, Wu L, et al. Defect coupling behavior and flexural wave energy harvesting of phononic crystal beams with double defects in thermal environments. Journal of Physics D: Applied Physics, 2021, 54(22): 225501 doi: 10.1088/1361-6463/abe1e7
    [28]
    Li P, Qian Z, Dong B, et al. A novel method for sub-wavelength focusing of flexural waves. International Journal of Mechanical Sciences, 2023, 248: 108206 doi: 10.1016/j.ijmecsci.2023.108206
    [29]
    Xu YL, Cao LY, Yang ZC. Deflecting incident flexural waves by nonresonant single-phase meta-slab with subunits of graded thicknesses. Journal of Sound and Vibration, 2019, 454: 51-62 doi: 10.1016/j.jsv.2019.04.028
    [30]
    Belanger P, Boivin G. Development of a low frequency omnidirectional piezoelectric shear horizontal wave transducer. Smart Materials and Structures, 2016, 25: 045024 doi: 10.1088/0964-1726/25/4/045024
    [31]
    Huan Q, Miao HC, Li FX. Generation and reception of shear horizontal waves using the synthetic face-shear mode of a thickness-poled piezoelectric wafer. Ultrasonics, 2018, 86: 20-27 doi: 10.1016/j.ultras.2018.01.009
    [32]
    Raghavan A, Cesnik CES. Finite-dimensional piezoelectric transducer modeling for guided wave based structural health monitoring. Smart Materials and Structures, 2005, 14(6): 1448-1461 doi: 10.1088/0964-1726/14/6/037
    [33]
    Koduru JP, Rose JL. Transducer arrays for omnidirectional guided wave mode control in plate like structures. Smart Materials and Structures, 2012, 22(1): 15010
    [34]
    Li P, Qian Z, Zhang YH, et al. The energy focusing of reflected flexural waves via two adjacent phase-modulation-based lenses. Energy, 2023, 267: 126523 doi: 10.1016/j.energy.2022.126523
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