Abstract—A general solution is obtained for the problem of synthesizing a gradient dielectric lens with central symmetry and external focus, which transforms the field of a point source into a given geometric-optical field. As an example of using the obtained solution, the problem of synthesizing a lens that forms a table-shaped radiation pattern is considered. By means of numerical simulation by the finite element method, an analysis of a multibeam planar lens antenna based on a synthesized lens made in the form of a set of dielectric rings located between two metal disks was carried out.

中文翻译：

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中心对称梯度透镜合成问题的一般解

摘要—针对合成具有中心对称性和外焦点的梯度介质透镜问题，得到了一个通用解，它将点源的场转换为给定的几何光场。作为使用获得的解决方案的示例，考虑合成形成台形辐射图案的透镜的问题。通过有限元法的数值模拟，对基于合成透镜的多波束平面透镜天线进行了分析，该合成透镜由位于两个金属盘之间的一组介电环构成。