基于角谱和多极展开的声辐射力和力矩公式的等价性
Equivalence between angular spectrum-based and multipole expansion-based formulas of the acoustic radiation force and torque
摘要：
已经提出了两种主要方法来导出由任意声场施加在颗粒上的声辐射力和扭矩：第一种方法依赖于入射场的平面波角谱分解（参见[Sapozhnikov和Bailey，J.Acoust. Soc. Am. 133，661（2013）]和[Gong和Baudoin，J. Acoust. Soc. Am. 148，3131（2020）]中描述），而第二种依赖于将入射场分解成球面波的总和，即所谓的多极展开（参见[Silva，J. Acoust. Soc. Am. 130，3541（2011）]和[Baresh et al.，J. Acoust. Soc. Am. 133，25（2013）]，以及[Silva et al.，EPL 97，54003（2012）]和[Gong等人，适用于扭矩的物理修订版11，064022（2019）]）。在本文中，我们正式建立这两种方法获得的力和扭矩的表达式之间的等价性。
英文摘要：
Two main methods have been proposed to derive the acoustical radiation force and torque applied by an arbitrary acoustic field on a particle: The first one relies on the plane wave angular spectrum decomposition of the incident field (see [Sapozhnikov and Bailey, J. Acoust. Soc. Am. 133, 661 (2013)] for the force and [Gong and Baudoin, J. Acoust. Soc. Am. 148, 3131 (2020)] for the torque), while the second one relies on the decomposition of the incident field into a sum of spherical waves, the so-called multipole expansion (see [Silva, J. Acoust. Soc. Am. 130, 3541 (2011)] and [Baresh et al., J. Acoust. Soc. Am. 133, 25 (2013)] for the force, and [Silva et al., EPL 97, 54003 (2012)] and [Gong et al., Phys. Rev. Applied 11, 064022 (2019)] for the torque). In this paper, we formally establish the equivalence between the expressions obtained with these two methods for both the force and torque.
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