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Extensions of the Born approximation for acoustic radiation force and torque to inhomogeneous objects and progressive spherical waves

机译：用于声辐射力的出生近似的延伸和扭矩到不均匀物体和渐进式球波

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The Born approximation was used in recent work to develop simple expressions for the acoustic radiation force and torque acting on objects of arbitrary shape [Jerome et al., J. Acoust. Soc. Am. 145, 36-44 (2019)]. Results for spheres and prolate spheroids in plane standing wave fields were compared with the full solution based on spherical harmonic expansions of the incident and scattered fields. The approximation was shown to be accurate for objects with material properties similar to those of the surrounding fluid, and with dimensions up to about one wavelength. Here, closed-form expressions based on the Born approximation are presented for a finite cylinder with material inhomogeneity that varies linearly along the axis of the cylinder. The expressions reveal the dependence of the radiation force and torque on the position and orientation of the inhomogeneous cylinder with respect to an incident plane standing wave. Next, the Born approximation is used to obtain a closed-form expression for the radiation force on a homogeneous compressible sphere as a function of its distance from the center of a diverging or converging spherical wave. The validity of this solution is assessed via comparison with the full solution.
机译：在近期工作中使用出生的近似，以开发用于声辐射力和作用在任意形状物体上的声辐射力和扭矩的简单表达式[Jerome等，J.Acoust。 SOC。是。 145,36-44（2019）]。平面常设波场的球体和扩散球体的结果与入射和散射场的球形谐波扩展的完整溶液进行了比较。近似被示出为具有类似于周围流体的物质的物体的物体，以及尺寸高达一个波长的物体。这里，基于出生的近似的闭合表达式用于有限气缸，其具有沿气缸的轴线线性变化的材料不均匀性。表达揭示了辐射力和扭矩对入射平面驻波的不均匀圆柱的位置和取向的依赖性。接下来，出生的近似用于获得均匀可压缩球体上的辐射力的闭合形式表达，作为其距发散或会聚球面波的中心的距离的函数。通过与完整解决方案的比较评估该解决方案的有效性。

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