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大尺寸参数的高度细长且几何形状复合的物体的电磁波散射:广义多极子技术

Electromagnetic wave scattering by highly elongated and geometrically composite objects of large size parameters: the generalized multipole technique.

作者信息

Al-Rizzo H M, Tranquilla J M

出版信息

Appl Opt. 1995 Jun 20;34(18):3502-21. doi: 10.1364/AO.34.003502.

Abstract

The potency and versatility of a numerical procedure based on the generalized multipole technique (GMT) are demonstrated in the context of full-vector electromagnetic interactions for general incidence on arbitrarily shaped, geometrically composite, highly elongated, axisymmetric perfectly conducting or dielectric objects of large size parameters and arbitrary constitutive parameters. Representative computations that verify the accuracy of the technique are given for a large category of problems that have not been considered previously by the use of the GMT, to our knowledge. These problems involve spheroids of axial ratios as high as 20 and with the largest dimension of the dielectric object along the symmetry axis equal to 75 wavelengths; sphere-cone-sphere geometries; peanut-shaped scatterers; and finite-length cylinders with hemispherical, spherical, and flat end caps. Whenever possible, the extended boundary-condition method has been used in the process of examining the applicability of the suggested solution, with excellent agreement being achieved in all cases considered. It is believed that the numerical-scattering results presented here represent the largest detailed three-dimensional precise modeling ever verified as far as expansion functions that fulfill Maxwell's equations throughout the relevant domain of interest are concerned.

摘要

在全矢量电磁相互作用的背景下,展示了基于广义多极技术(GMT)的数值方法的有效性和通用性,该相互作用适用于任意形状、几何结构复合、高度细长、轴对称的完美导电或介电物体的一般入射情况,这些物体具有大尺寸参数和任意本构参数。据我们所知,对于一大类以前未使用GMT考虑过的问题,给出了验证该技术准确性的代表性计算。这些问题包括轴比高达20且介电物体沿对称轴的最大尺寸等于75个波长的椭球体;球 - 圆锥 - 球几何形状;花生形散射体;以及带有半球形、球形和平端盖的有限长度圆柱体。在检查所建议解决方案的适用性过程中,尽可能使用了扩展边界条件方法,在所考虑的所有情况下都取得了极好的一致性。据信,就满足整个相关感兴趣域内麦克斯韦方程的展开函数而言,此处给出的数值散射结果代表了有史以来最大规模的详细三维精确建模。

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