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Resonance Scattering by a Circular Dielectric Cylinder
Radio Science ( IF 1.6 ) Pub Date : 2021-05-22 , DOI: 10.1029/2020rs007095 Yury Shestopalov 1
Radio Science ( IF 1.6 ) Pub Date : 2021-05-22 , DOI: 10.1029/2020rs007095 Yury Shestopalov 1
Affiliation
A unified approach is developed for the analysis of singularities of the scattered field and vanishing of scattering harmonics. Rigorous proofs are presented of the existence of complex resonance singularities of the solution to the problem of the plane wave scattering by a circular homogeneous dielectric cylinder. The method employs a mathematically correct approach of the spectral theory of open structures involving generalized conditions at infinity when complex resonance frequencies may be considered. The result is obtained by verifying the existence of complex singularities of the series solution coefficients considered as functions of the problem parameters. The recently developed theory of generalized cylindrical polynomials (GCPs) is used that enables one to reduce determination of singularities (resonances) to finding zeros (real or complex) of a particular subfamily of GCPs.
中文翻译:
圆形介电圆柱体的共振散射
开发了一种统一的方法来分析散射场的奇点和散射谐波的消失。严格证明了圆形均匀介质圆柱体平面波散射问题的解的复共振奇点的存在。当可以考虑复杂的共振频率时,该方法采用了开放结构的光谱理论的数学上正确的方法,涉及无穷远的广义条件。结果是通过验证被视为问题参数函数的级数解系数的复奇异性的存在而获得的。
更新日期:2021-06-08
中文翻译:
圆形介电圆柱体的共振散射
开发了一种统一的方法来分析散射场的奇点和散射谐波的消失。严格证明了圆形均匀介质圆柱体平面波散射问题的解的复共振奇点的存在。当可以考虑复杂的共振频率时,该方法采用了开放结构的光谱理论的数学上正确的方法,涉及无穷远的广义条件。结果是通过验证被视为问题参数函数的级数解系数的复奇异性的存在而获得的。