截断椭圆透镜的精确数值分析

5th International Workshop on Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003. Pub Date : 2003-11-17 DOI:10.1109/LFNM.2003.1246128

A. Boriskin, A. Nosich

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引用次数: 0

摘要

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。

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Accurate numerical analysis of the truncated elliptic lens

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.

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5th International Workshop on Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003.

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