Mayo Clinic, College of Medicine, Department of Physiology and Biomedical Engineering, Ultrasound Research Laboratory, Rochester, MN 55905, USA.
Ultrasonics. 2010 May;50(6):620-7. doi: 10.1016/j.ultras.2010.01.002. Epub 2010 Jan 14.
The present research examines the acoustic radiation force of axisymmetric waves incident upon a cylinder of circular surface immersed in a nonviscous fluid. The attempt here is to unify the various treatments of radiation force on a cylinder with arbitrary radius and provide a formulation suitable for any axisymmetric incident wave.
Analytical equations are derived for the acoustic scattering field and the axial acoustic radiation force. A general formulation for the radiation force function, which is the radiation force per unit energy density per unit cross-sectional surface, is derived. Specialized forms of the radiation force function are provided for several types of incident waves including plane progressive, plane standing, plane quasi-standing, cylindrical progressive diverging, cylindrical progressive converging and cylindrical standing and quasi-standing diverging waves (with an extension to the case of spherical standing and quasi-standing diverging waves incident upon a sphere).
This study may be helpful essentially due to its inherent value as a canonical problem in physical acoustics. Potential applications include particle manipulation of cylindrical shaped structures in biomedicine, micro-gravity environments, fluid dynamics properties of cylindrical capillary bridges, and the micro-fabrication of new cylindrical crystals to better control light beams.
本研究考察了轴对称波对浸入无粘性流体中的圆柱表面的声辐射力。这里的尝试是将任意半径圆柱上的辐射力的各种处理方法统一起来，并提供适合任何轴对称入射波的公式。
推导了轴对称散射场和声辐射力的解析方程。推导出了辐射力函数的一般公式，该函数是单位能量密度每单位横截面积的辐射力。针对几种类型的入射波（包括平面行波、平面驻波、平面拟驻波、圆柱行波发散、圆柱行波会聚和圆柱驻波及拟驻波发散波）提供了辐射力函数的特殊形式（并扩展到球面驻波及拟驻波发散波入射到球体的情况）。
由于本研究是物理声学中一个典型的问题，因此具有重要的理论价值。潜在的应用包括在生物医学中对圆柱形结构的粒子操纵、微重力环境下的圆柱毛细管桥的流体动力学特性，以及制造新的圆柱形晶体以更好地控制光束的微加工。
