Lippman-Schwinger积分方程在任意散射体散射中的应用

M. Karam, D. LeVine
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引用次数: 1

摘要

利用Lippman-Schwinger积分微分方程推导了任意散射体散射幅值张量的两个新特性。结果表明,散射场的平面波谱可以用散射振幅张量表示。利用该方法建立了散射振幅张量的非奇异积分方程。对于非常小的散射体,求解散射振幅张量积分方程得到等效极化张量。这个张量与传统瑞利近似的不同之处在于它的频率依赖性,因为它包含了一个辐射反应项。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
One application of Lippman-Schwinger integral equation to scattering from an arbitrary scatterer
The Lippman-Schwinger integrodifferential equation is used to develop two new characteristics of the scattering amplitude tensor for an arbitrary scatterer. It is used to show that the plane-wave spectrum of the scattered field can be expressed in terms of the scattering amplitude tensor. It is also used to develop a nonsingular integral equation for the scattering amplitude tensor. For a very small scatterer, the solution of the scattering amplitude tensor integral equation leads to an equivalent polarizability tensor. This tensor differs from the conventional Rayleigh approximation in its frequency dependence and because it includes a radiative reaction term.<>
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