A numerical analysis of wave scattering by a body of revolution composed of a homogeneous dielectric sphere and an external inhomogeneous dielectric layer with arbitrary generatrix is carried out. A modification of the hybrid projection method developed in the paper includes expansion of the fields in terms of transverse vector spherical functions, projection of the Maxwell’s equations in the inhomogeneous region on the indicated functions, and use of the one-dimensional method of finite elements in projection form over the radial coordinate. Two more modifications correspond to the case of a perfectly conducting internal sphere and for the case of the absence of the internal sphere. The indicated modifications are realized in MATLAB codes for the case of excitation of the body by a circularly polarized plane wave propagating along the axis of revolution. Numerical results presented and discussed in the paper include the cases of wave scattering by a homogeneous sphere displaced from the origin of coordinates, a perfectly conducting sphere placed inside an inhomogeneous spheroidal layer, and a half-spherical Maxwell’s fish-eye lens.

中文翻译：

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混合投影法用于非均匀旋转体电磁散射分析的修改

对由均质电介质球和具有任意母线的外部不均质电介质层组成的旋转体进行的波散射进行了数值分析。本文中开发的混合投影方法的一种修改包括在横向矢量球面函数方面扩展场，在指定函数上在不均匀区域中投影麦克斯韦方程组，以及在有限元中使用一维有限元方法径向坐标上的投影形式。另外两个修改分别对应于一个完美导电的内部球体的情况和不存在内部球体的情况。对于沿旋转轴传播的圆偏振平面波激发人体的情况，在MATLAB代码中实现了所示的修改。本文中提出和讨论的数值结果包括以下情况：通过从坐标原点偏移的均匀球体引起的波散射，放置在不均匀球体层内部的完美导电球体以及半球形Maxwell鱼眼镜头。