Application of complex ray tracing to scattering problems
Application of complex ray tracing to scattering problems
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DOI：
10.1109/proc.1974.9661
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发表时间：
1974-11
期刊：
影响因子：
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通讯作者：
W. Wang;G. Deschamps
中科院分区：
文献类型：
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作者：
W. Wang;G. Deschamps
介绍了与复杂点、复杂线和复杂射线相关的表示和几何构造。它们应用于解决渐逝平面波被导电圆柱体散射的问题。这个问题有一个精确的解决方案，它提供了对复杂光线追踪有效性的检查并提出了更通用的应用。将散射表面的复杂延伸上的反射点映射到复杂反射光线的真实空间中的轨迹上的变换发挥了重要作用。对于所考虑的特定问题，计算反射场的相位和幅度并构造“相路径”和“相前”。以这种方式获得的反射场和相路径不能作为整体，因为一些反射点没有被入射波“照亮”，并且因为反射器可能只是圆柱体的一部分。使用了暂定选择和截断规则，这与某些区域的精确解非常一致。出现分歧的地方——就像真实光线一样——来自于忽略衍射场，例如光滑表面周围的爬行波，以及在截断情况下来自不连续性的边缘波。考虑了任意光滑导体的散射。阐述了使用复杂射线所特有的一些问题。
Representations and geometric constructions associated with complex points, complex lines, and complex rays are introduced. They are applied to the problem of scattering of an evanescent plane wave by a conducting circular cylinder. This problem has an exact solution, which provides a check of the validity of complex ray tracing and suggests more general applications. An important role is played by the transformation that maps the point of reflection, on the complex extension of the scattering surface, onto the trace in real space of the complex reflected ray. For the particular problem considered, the phase and amplitude of the reflected field are computed and the "phase paths" and "phase fronts" are constructed. The reflected field and phase paths obtained in this manner are not to be taken in their entirety because some reflection points are not "illuminated" by the incident wave, and because the reflector may be only part of the cylinder. Tentative selection and truncation rules are used which yield good agreement with the exact solution over some regions. The disagreement, where it occurs, comes-as it does for real rays-from neglecting the diffracted field such as the creeping waves around smooth surfaces and, in the case of truncation, the edge waves from the discontinuity. Some consideration is given to scattering by an arbitrary smooth conductor. Some problems peculiar to the use of complex rays are stated.