Accurate numerical analysis of the truncated elliptic lens

A. Boriskin, A. Nosich
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Abstract

The Muller integral-equation (MIE) technique is used for the analysis of the focusing properties of the truncated elliptic lens modeled by a smooth dielectric cylinder characterized with a piece-wise "super-elliptic" cross section. Such a full-wave mathematically correct method guarantees uniqueness of the solution for arbitrary set of parameters. In the discretization scheme, we also use analytical inversion of the canonical circular-cylinder counterpart of the problem and build a very efficient CAD tool. Numerical results for the near fields are presented and lens-focusing properties are studied for the E-polarization case.
截断椭圆透镜的精确数值分析
利用Muller积分方程(MIE)技术分析了以光滑介质圆柱体为模型,具有分段“超椭圆”截面的截短椭圆透镜的聚焦特性。这种全波数学上正确的方法保证了任意参数集解的唯一性。在离散化方案中,我们还使用了该问题的典型圆柱对应的解析反演,并构建了一个非常高效的CAD工具。给出了近场的数值计算结果,并研究了e偏振情况下的透镜聚焦特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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