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首页> 外文期刊>Ultrasonics, Ferroelectrics and Frequency Control, IEEE Transactions on >Interaction of an acoustical Quasi-Gaussian beam with a rigid sphere: linear axial scattering, instantaneous force, and time-averaged radiation force [Correspondence]
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Interaction of an acoustical Quasi-Gaussian beam with a rigid sphere: linear axial scattering, instantaneous force, and time-averaged radiation force [Correspondence]

机译：准高斯声束与刚性球体的相互作用：线性轴向散射，瞬时力和时间平均辐射力[对应]

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摘要

This work focuses on the interaction of an acoustical quasi-Gaussian beam centered on a rigid immovable sphere, during which at least three physical phenomena arise??the (axial) acoustic scattering, the instantaneous force, and the time-averaged radiation force??which are investigated here. The quasi-Gaussian beam is an exact solution of the source-free Helmholtz wave equation and is characterized by an arbitrary waist, w0, and a diffraction convergence length known as the Rayleigh range, zR. Specialized formulations for the scattering and the instantaneous force function, as well as the (time-averaged) radiation force function, are provided. Numerical computations illustrate the variations of the backscattering form function, the instantaneous force function, and the (time-averaged) radiation force function versus the dimensionless frequency ka (where k is the wave number and a is the radius of the sphere); the results show significant differences from the plane wave limit when the dimensionless beam waist parameter kw0 < 25. The radiation force function may be used to calibrate high-frequency transducers operating with this type of beam. Furthermore, the theoretical analysis can be readily extended to the case of other types of spheres (i.e., elastic, viscoelastic, shells, and coated spheres and shells), providing that their appropriate scattering coefficients are used.
机译：这项工作着重于以刚性不可移动球为中心的准高斯声波的相互作用，在此过程中至少会出现三种物理现象-（轴向）声散射，瞬时力和时平均辐射力。在这里进行调查。准高斯光束是无源亥姆霍兹波方程的精确解，其特征是任意腰围w 0 和衍射会聚长度，即瑞利范围z R 。提供了用于散射和瞬时力函数以及（时间平均）辐射力函数的专门公式。数值计算说明了背向散射形式函数，瞬时力函数和（时间平均）辐射力函数相对于无量纲频率ka（其中k是波数，a是球体的半径）的变化；结果表明，当无量纲的束腰参数kw 0 <25时，与平面波极限存在显着差异。辐射力函数可用于校准使用这种类型的束的高频换能器。此外，理论分析可以容易地扩展到其他类型的球体的情况（即，弹性，粘弹性，壳，以及涂覆的球体和壳），只要使用它们适当的散射系数即可。

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