Abstract

A technique allowing to model scattering characteristics for bodies of arbitrary geometries is suggested on the basis of the method of extended boundary conditions. The scattering characteristics include those ones, which are averaged over orientation angles. The 2D problem of diffraction of a plane wave by dielectric bodies having a complicated geometry of the cut and, in particular, by bodies similar to fractals is considered. The numerical algorithms of the diffraction problem solution on the basis of the systems of integral equations of the first and second kinds are compared. The correctness of the method is confirmed with the help of the verification of the optical theorem fulfillment for various bodies and by comparing with the calculation results obtained by the modified method of discrete sources.

中文翻译：

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扩展边界条件方法在具有复合几何形状的磁电散射体解波衍射问题中的应用

摘要

在扩展边界条件的方法的基础上，提出了一种允许对任意几何体的散射特性进行建模的技术。散射特性包括那些在取向角上平均的散射特性。考虑了具有复杂的切口几何形状的电介质体，特别是类似于分形的体对平面波衍射的二维问题。比较了基于第一类和第二类积分方程组的衍射问题解的数值算法。该方法的正确性通过验证各种物体的光学定理的实现，并与通过改进的离散源方法获得的计算结果进行比较来确认。