Spherical-multipole analysis of electromagnetic and acoustical scattering by a semi-infinite elliptic cone
Spherical-multipole analysis of electromagnetic and acoustical scattering by a semi-infinite elliptic cone
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半无限椭圆锥电磁和声散射的球面多极分析
DOI：
10.1109/74.500230
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发表时间：
1996
影响因子：
3.5
通讯作者：
S. Blume
中科院分区：
文献类型：
--
作者：
S. Blume
提出了声学软或硬椭圆锥的标量散射以及完美传导椭圆锥的电磁散射的球多极分析。如果源点和场点都远离锥体尖端，则精确解的级数展开收敛性较差。对这些展开式应用欧拉加速收敛的数学变换，以数值方式确定这些物体的散射截面。这种强大的方法还可用于衍射系数的数值评估。该论文回顾了有关具有边缘、拐角、尖端等的物体散射的科学工作。
The spherical-multipole analysis of scalar scattering by an acoustically soft or hard elliptic cone, and of electromagnetic scattering by a perfectly conducting elliptic cone, are presented. The series expansions of the exact solutions are of poor convergence, if both source and field points are far from the cone's tip. A mathematical transformation for the acceleration of convergence-due to Euler-is applied to these expansions, to numerically determine the scattering cross sections of these objects. This powerful method can also be used for the numerical evaluation of diffraction coefficients. The paper contains a review of scientific work concerning scattering by objects with edges, corners, tips, etc.