柱面波对多层球的轴向声辐射力

doi:10.19596/j.cnki.1001-246x.8157

计算物理 ›› 2020, Vol. 37 ›› Issue (6): 700-708.DOI: 10.19596/j.cnki.1001-246x.8157

柱面波对多层球的轴向声辐射力

臧雨宸^1,2, 高金彪^1,2

1. 中国科学院声学研究所, 北京 100190;
2. 中国科学院大学, 北京 100049

收稿日期:2019-10-08 修回日期:2020-03-20 出版日期:2020-11-25 发布日期:2020-11-25
作者简介:ZANG Yuchen (1996-), male, PhD candidate, research in computional acoustics,E-mail:zhangyuchen18@mails.ucas.ac.cn
基金资助:
Supported by the National Natural Science Foundation of China (81527901,11604361)

Axial Acoustic Radiation Force of Cylindrical Diverging Waves on a Multilayered Sphere

ZANG Yuchen^1,2, GAO Jinbiao^1,2

1. Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
2. University of Chinese Academy of Sciences, Beijing 100049, China

Received:2019-10-08 Revised:2020-03-20 Online:2020-11-25 Published:2020-11-25
Supported by:
Supported by the National Natural Science Foundation of China (81527901,11604361)

摘要/Abstract

摘要： 在理论和数值上研究柱面波对多层球的声辐射力.基于声波的散射理论，得到声辐射力的解析解，并给出数值仿真.结果表明：在特定的ka和kr₀处，柱面行波的辐射力可以是负值（k是波数，a是多层球的半径，r₀是多层球到声源的距离）.随着kr₀增加到无穷大，仿真结果退化为平面波的情形.对双层球而言，每层的相对厚度影响曲线共振峰的大小和位置，但对三层球而言没有显著影响.当最内层的介质换成空气时，由于声阻抗差异较大，共振峰更加明显.该研究可以为研发新一代单行波声束声学镊子提供理论指导，该技术在生物医学超声和材料科学领域有广泛的应用.

关键词: 声辐射力, 柱面波, 声散射, 多层球

Abstract: Acoustic radiation force of an incident cylindrical diverging wave exerted on a multilayered sphere is theoretically and numerically studied. Based on sound scattering theory, a closed-form of the acoustic radiation force is obtained and several numerical simulations are provided. It shows unexpectedly that the radiation force becomes negative at selected values of ka and kr₀ in a cylindrical diverging progressive wave (where k is the wave number, a is the sphere's radius and r₀ is the distance of the sphere from the acoustic source). As kr₀ increases to infinity, it degenerates to the case of a plane wave field. Relative thickness of layer affects both magnitude and position of the resonant peaks for a two-layered sphere while it does not significantly affect those for a three-layered sphere. As the innermost layer is substituted by the air, the resonant peaks become more pronounced due to the large difference of acoustic impedance. This study is expected to provide a theoretical basis to develop a new generation of acoustic tweezers using a single beam of progressive waves, which has potential applications in biomedical ultrasound and material sciences.

Key words: acoustic radiation force, cylindrical diverging wave, acoustic scattering, multilayered sphere

中图分类号:

臧雨宸, 高金彪. 柱面波对多层球的轴向声辐射力[J]. 计算物理, 2020, 37(6): 700-708.

ZANG Yuchen, GAO Jinbiao. Axial Acoustic Radiation Force of Cylindrical Diverging Waves on a Multilayered Sphere[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(6): 700-708.

参考文献

[1] KING L V. The acoustic radiation pressure on sphere[J]. Proc Roya Soc London, Ser A, 1934, 147:212-240.
[2] AWATANI J. Experimental studies on acoustic radiation pressure[J]. J Acoust Soc Am, 1955, 27(5):891-896.
[3] YOSIOKA K. Acoustic radiation pressure on a compressible sphere[J]. Acta Acust United Ac, 1955, 5:167-173.
[4] HASEGAWA T, YOSOIOKA K. Acoustic radiation force on a solid elastic sphere[J]. J Acoust Soc Am, 1969, 46(5B):1139-1143.
[5] HASEGAWA T. Acoustic radiation force on a sphere in a quasi-stationary wave field theory[J]. J Acoust Soc Am, 1979, 65(1):32-40.
[6] WU J R, DU G H. Acoustic radiation force on a small compressible sphere in a focused beam[J]. J Acoust Soc Am, 1990, 87(3):997-1003.
[7] WU R R, CHENG K X, LIU X Z, et al. Study of axial radiation force on a sphere in a Gaussian quasi-standing field[J]. Wave Motion, 2016, 62:63-74.
[8] ZHANG X F, SONG Z G, CHEN D M. Finite series expansion of a Gaussian beam for the acoustic radiation force calculation of cylindrical particles in water[J]. J Acoust Soc Am, 2015, 137(4):1826-33.
[9] ZHANG X F, ZHANG G B. Acoustic radiation force of a Gaussian beam incident on spherical particles in water[J]. Ultrasound Med Biol, 2012, 38(11):2007-2017.
[10] BARESCH D, THOMAS J L, MARCHIANO R. Observation of a single-beam gradient force acoustical trap for elastic particles:Acoustical tweezers[J]. Phys Rev Lett, 2016, 116(2):024301.
[11] LEE J, SHUNG K K. Radiation forces exerted on arbitrarily located sphere by acoustic tweezer[J]. J Acoust Soc Am, 2006, 120(2):1084-1094.
[12] LEE J W, HA K L, SHUNG K K. A theoretical study of the feasibility of acoustic tweezers:Ray acoustic approach[J]. J Acoust Soc Am, 2005, 117(5):3273-3280.
[13] LEE J W, LEE C Y, SHUNG K K. Calibration of sound forces in acoustic traps[J]. 2010 IEEE Trans Ultraso Ferroelectr Freq Control, 2010, 57(10):2305-2310.
[14] LEE J W, TEC S Y, LEE A, et al. Transverse acoustic trapping using a Gaussian focused beam[J]. Ultrasound Med Biol, 2010, 36:350-355.
[15] LEE J W, TEC S Y, LEE A, et al. Single beam acoustic trapping[J]. Appl Phys Lett, 2009, 95(7):073701.
[16] WU J R. Acoustic tweezers[J]. J Acoust Soc Am, 1991, 89(5):2140-2143.
[17] HU J H, SANTOSO A K. A pi-shaped ultrasonic tweezers concept for manipulation of small particles[J]. IEEE Trans Ultraso Ferroelectr Freq Control, 2004, 51(11):1499-1507.
[18] SHI J, AHMED D, MAO X, et al. Acoustic tweezers:Patterning cells and micro particles using standing surface acoustic waves[J]. Lab Chip, 2009, 9:2890-2895.
[19] MITRI F G. Potential well model in acoustic tweezers:Comment[J]. IEEE Trans Ultraso Ferroelectr Freq Control, 2011, 58(3):663-666.
[20] KANG S T, YEH C K. Potential well model in acoustic tweezers[J]. IEEE Trans Ultraso Ferroelectr Freq Control, 2010, 57(6):1451-1459.
[21] MITRI F G. Axial time-averaged acoustic radiation force on a cylinder in a nonviscous fluid revisited[J]. Ultrasonics, 2010, 50(6):620-627.
[22] MARSTON P L. Radiation force of a helicoidal Bessel beam on a sphere[J]. Acoust Soc Am, 2009, 125(6):3539-3547.
[23] GONG Z X, PARSTON P L, LI W. Reversals of acoustic radiation torque in Bessel beams using theoretical and numerical implementations in three dimensions[J]. Phys Rev Applied, 2019, 11(6):064022.
[24] PAN W F, LI Z Q. Numerical solution for multiple scattering objects in a three dimensional ocean waveguide[J]. Chinese J Comput Phys, 2008, 25(2):191-196.
[25] ZHANG R, WEN L H, XIAO J Y. GPU-accelerated boundary element method for large-scale problems in acoustics[J]. Chinese J Comput Phys, 2015, 32(3):299-309.
[26] XU J L, TANG Z P. Combined discrete/finite element multiscale numerical method and its application[J]. Chinese J Comput Phys, 2003, 20(6):477-482.
[27] WANG H B, LIU X Z, GAO S, et al. Acoustic radiation force on a multilayered sphere in a Gaussian standing field[J]. Chinese Phys B, 2018, 27(3):034302.
[28] MARSTON P L. Axial acoustic radiation force of a Bessel beam on a sphere and direction reversal of the force[J]. J Acoust Soc Am, 2006, 120(6):3518-3524.
[29] GONG Z X, MARSTON P L, LI W. T-matrix evaluation of three-dimensional acoustic radiation forces on nonspherical objects in Bessel beams with arbitrary order and location[J]. Phys Rev E, 2019, 99(6):063004.
[30] FLAX L, DRAGONETTE L R. Theory of elastic resonance excitation by sound scattering[J]. J Acoust Soc Am, 1978, 63(3):723-731.

柱面波对多层球的轴向声辐射力

Axial Acoustic Radiation Force of Cylindrical Diverging Waves on a Multilayered Sphere

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

编辑推荐

Metrics

作者中心

审稿中心

期刊浏览

期刊介绍

[1]	臧雨宸. 高斯波束对界面附近离轴球形粒子的轴向声辐射力[J]. 计算物理, 2020, 37(4): 459-466.
[2]	王海涛, 曾向阳. 周期结构声散射系数的无网格数值计算方法[J]. 计算物理, 2013, 30(2): 229-236.
[3]	潘文峰, 宗志雄, 尤云祥, 缪国平. 三维海洋波导中散射目标快速声学远场成像[J]. 计算物理, 2010, 27(1): 121-130.
[4]	潘文峰, 李卓球. 三维海洋波导中多声散射的数值解[J]. 计算物理, 2008, 25(2): 191-196.
[5]	杨吉生, 谷晋骐, 徐立军, 杨光, 刘义族. 柱面波在不规则目标上散射近场的有限元解法[J]. 计算物理, 1996, 13(2): 253-256.