|Table of Contents|

Dynamic Acoustic Radiation Force on a Viscoelastic Spherical Shell near an Impedance Boundary(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2024年03期
Page:
21-31
Research Field:
物理学
Publishing date:

Info

Title:
Dynamic Acoustic Radiation Force on a Viscoelastic Spherical Shell near an Impedance Boundary
Author(s):
Zang Yuchen
(School of Physics and Technology,Nanjing Normal University,Nanjing 210023,China)
Keywords:
dynamic acoustic radiation force; impedance boundary; viscoelastic spherical shell; acoustic manipulation
PACS:
O422.7
DOI:
10.3969/j.issn.1001-4616.2024.03.004
Abstract:
When the incident acoustic wave contains many different frequency components,the acoustic radiation force on the objects will have a dynamic component that changes with time,which is called the dynamic acoustic radiation force. Dynamic acoustic radiation has been widely used in medical imaging,parameter inversion and other relevant fields. Based on the image theory,the expression of the dynamic acoustic radiation force acting on a viscoelastic spherical shell near an impedance boundary for a dual-frequency wave is theoretically deduced. Numerical calculations for a viscoelastic lucite shell are provided as an example. The results show the splitting of the resonant peaks for the dynamic acoustic force,which produces two peaks that are separated by a dimensionless frequency shift equal to the modulation dimensionless frequency. Therefore,when the two frequencies are very close,the dynamic radiation force can be approximated as the steady radiation force. The increase of the boundary reflecting coefficient leads to the enhancement of the peak value of the dynamic acoustic radiation force. Moreover,the dynamic acoustic radiation force changes periodically along the variation of shell-boundary distance. When the spherical shell is relatively thin,the dynamic acoustic radiation force for the air-filled spherical shell is much stronger than that for the water-filled one bacause air has a much lower impedance than water. These results are expected to provide a theoretical basis for the acoustic manipulation near the boundary using the dynamic acoustic radiation force.

References:

[1]WU J R. Acoustic tweezers[J]. The Journal of the Acoustical Society of America,1991,89(5):2140-2143.
[2]蔡飞燕,孟龙,李飞,等. 声操控微粒研究进展[J]. 应用声学,2018,37(5):655-663.
[3]朱纪霖,高东宝,曾新吾. 基于相位变换声镊的单个微粒平面移动操控[J]. 物理学报,2021,70(21):166-174.
[4]DAYTON P A,MORGAN K E,KLIBANOV A L,et al. A preliminary evaluation of the effects of primary and secondary radiation forces on acoustic contrast agents[J]. IEEE trans UFFC,1997,44(6):1264-1277.
[5]DAYTON P A,ALLEN J S,FERRARA K W. The magnitude of radiation force on ultrasound contrast agents[J]. Journal of the Acoustical Society of America,2002,112(5):2183-2192.
[6]章康宁,王佳伟,马青玉. 双频激励超声造影剂微气泡差频特性的理论和实验研究[J]. 南京师大学报(自然科学版),2015,38(2):30-37.
[7]LIERKE E G. Acoustic levitation:a comprehensive survey of principles and applications[J]. Acustica,1996,82(2):220-237.
[8]冯乙婷,姬晓亮,张永建,等. Ouzo液滴的声悬浮动力学研究[J]. 中国科学:物理学 力学 天文学,2021,51(5):151-160.
[9]KING L V. The acoustic radiation pressure on sphere[J]. Proceedings of the Royal Society of London. Series A,1934,147:212-240.
[10]YOSIOKA K,KAWASIMA Y. Acoustic radiation pressure on a compressible sphere[J]. Acta Acustica Society of America,1955,5:167-173.
[11]HASEGAWA T,YOSIOKA K. Acoustic radiation force on a solid elastic sphere[J]. The Journal of the Acoustical Society of America,1969,46(5B):1139-1143.
[12]HASEGAWA T. Acoustic radiation force on a sphere in a quasi-stationary wave field theory[J]. Journal of the Acoustical Society of America,1979,65(1):32-40.
[13]WU J R,DU G H. Acoustic radiation force on a small compressible sphere in a focused beam[J]. Journal of the Acoustical Society of America,1990,87(3):997-1003.
[14]HASEGAWA T,HINO Y,ANNOU A,et al. Acoustic radiation pressure acting on spherical and cylindrical shells[J]. Journal of the Acoustical Society of America,1993,93(1):154-161.
[15]MITRI F G. Acoustic radiation force acting on elastic and viscoelastic spherical shells placed in a plane standing wave field[J]. Ultrasonics,2005,43(8):681-691.
[16]MITRI F G. Calculation of the acoustic radiation force on coated spherical shells in progressive and standing plane waves[J]. Ultrasonics,2006,44(3):244-258.
[17]MIRI A K,MITRI F G. Acoustic radiation force on a spherical contrast agent shell near a vessel porous wall-theory[J]. Ultrasound in medicine and biology,2011,37(2):301-311.
[18]WANG J,DUAL J. Theoretical and numerical calculation of the acoustic radiation force acting on a circular rigid cylinder near a flat wall in a standing wave excitation in an ideal fluid[J]. Ultrasonics,2012,52(2):325-332.
[19]乔玉配,张小凤. 阻抗界面附近水下刚性柱形粒子的声辐射力[J]. 南京大学学报(自然科学版),2017,53(1):19-26.
[20]QIAO Y P,ZHANG X F,ZHANG G B. Acoustic radiation force on a fluid cylindrical particle immersed in water near an impedance boundary[J]. Journal of the Acoustical Society of America,2017,141(6):4633-4641.
[21]QIAO Y P,ZHANG X F,ZHANG G B. Axial acoustic radiation force on a rigid cylinder near an impedance boundary for on-axis Gaussian beam[J]. Wave motion,2017,74:182-190.
[22]QIAO Y P,SHI J Y,ZHANG X F,et al. Acoustic radiation force on a rigid cylinder in an off-axis Gaussian beam near an impedance boundary[J]. Wave motion,2018,83:111-120.
[23]QIAO Y P,WANG H B,LIU X Z,et al. Acoustic radiation force on an elastic cylinder in a Gaussian beam near an impedance boundary[J]. Wave motion,2020,93:102478.
[24]MITRI F G. Induced acoustic radiation force and torque on a pulsating cylindrical source near a planar rigid half-space boundary[J]. Journal of applied physics,2018,124(5):054902.
[25]QIAO Y P,ZHANG X W,GONG M Y,et al. Acoustic radiation force and motion of a free cylinder in a viscous fluid with a boundary defined by a plane wave incident at an arbitrary angle[J]. Journal of applied physics,2020,128(4):044902.
[26]ZANG Y C,LIN W J,SU C,et al. Axial acoustic radiation force on an elastic spherical shell near an impedance boundary for zero-order quasi-Bessel-Gauss beam[J]. Chinese physics B,2021,30(4):044301.
[27]SIMON B E,HAMILTON M F. Analytical solution for acoustic radiation force on a sphere near a planar boundary[J]. Journal of the Acoustical Society of America,2023,153(1):627-642.
[28]NIGHTINGALE K,SOO M S,NIGHTINGALE R,et al. Acoustic radiation force impulse imaging:in vivo demonstration of clinical feasibility[J]. Ultrasound in medicine and biology,2002,28(2):227-235.
[29]SARVAZYAN A P,RUDENKO O V,SWANSON S D,et al. Shear wave elasticity imaging:a new ultrasonic technology of medical diagnostics[J]. Ultrasound in medicine and biology,1998,24(9):1419-1435.
[30]CHEN S,FATEMI M,GREENLEAF J F. Remote measurement of material properties from radiation force induced vibration of an embedded sphere[J]. Journal of the Acoustical Society of America,2002,112(3):884-889.
[31]MITRI F G. Inverse determination of porosity from object's resonances[J]. Journal of applied physics,2004,96(10):5866-5869.
[32]MITRI F G,CHEN S G. Theory of dynamic acoustic radiation force experienced by solid cylinders[J]. Physical review E,2005,71(1):016306.
[33]SILVA G T,CHEN S G,GREENLEAF J F,et al. Dynamic ultrasound radiation force in fluids[J]. Physical review E,2005,71(5):056617.
[34]CHEN S G,SILVA G T. Measurement of dynamic and static radiation force on a sphere[J]. Physical review E,2005,71(5):056618.
[35]MITRI F G. Theoretical calculation of the modulated acoustic radiation force on spheres and cylinders in a standing plane wave-field[J]. Physica D—Nonlinear phenomena,2005,212(1/2):66-81.
[36]MITRI F G,FATEMI M. Dynamic acoustic radiation force acting on cylindrical shells:theory and simulations[J]. Ultrasonics,2005,43(6):435-445.
[37]MITRI F G,FELLAH Z E A. Amplitude-modulated acoustic radiation force experienced by elastic and viscoelastic spherical shells in progressive waves[J]. Ultrasonics,2006,44(3):287-296.
[38]SILVA G T. Dynamic radiation force of acoustic waves on solid elastic spheres[J]. Physical review E,2006,74(2):026609.
[39]SILVA G T,CHEN S G,VIANA L P. Parametric amplification of the dynamic radiation force of acoustic waves in fluids[J]. Physical review letters,2006,96(23):234301.
[40]SILVA G T,URBAN M W,FATEMI M. Multifrequency radiation force of acoustic waves in fluids[J]. Physica D—Nonlinear phenomena,2007,232(1):48-53.
[41]SILVA G T. Dynamic radiation force of acoustic waves on absorbing spheres[J]. Brazihan journal of physics,2010,40(2):184-187.
[42]HOYT K. Theoretical analysis of shear wave interference patterns by means of dynamic acoustic radiation forces[J]. International journal of multiphysics,2011,5(24):9-24.
[43]MARSTON P L,DANIEL T D,FORTUNER A R,et al. Specular-reflection contributions to static and dynamic radiation forces on circular cylinders[J]. Journal of the Acoustical Society of America,2021,149(5):3042-3051.
[44]MARSTON P L,DANIEL T D,FORTUNER A R. Specular reflection contributions to dynamic radiation forces on highly reflecting spheres(L)[J]. Journal of the Acoustical Society of America,2021,150(1):25-28.
[45]HUANG H,GAUNAURD G C. Scattering of a plane acoustic wave by a spherical elastic shell near a free surface[J]. International journal of solids structures,1997,34(5):591-602.

Memo

Memo:
-
Last Update: 2024-09-15