Semernya Ekaterina I, Skobelev Sergei P
J Opt Soc Am A Opt Image Sci Vis. 2020 Dec 1;37(12):1873-1882. doi: 10.1364/JOSAA.396534.
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.
对由均匀介质球体和具有任意母线的外部非均匀介质层组成的旋转体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改进包括根据横向矢量球函数展开场，将非均匀区域中的麦克斯韦方程组投影到所示函数上，并在径向坐标上以投影形式使用一维有限元方法。另外两种改进分别对应于完全导电内球体的情况和不存在内球体的情况。对于沿旋转轴传播的圆极化平面波激励物体的情况，在MATLAB代码中实现了上述改进。本文给出并讨论的数值结果包括偏离坐标原点的均匀球体、置于非均匀椭球层内的完全导电球体以及半球形麦克斯韦鱼眼透镜的波散射情况。
