矢量变分模求解器及其在分段常数波导和扩散波导中的应用

2008 12th International Conference on Mathematical Methods in Electromagnetic Theory Pub Date : 2008-07-29 DOI:10.1109/MMET.2008.4581041

O. Ivanova, R. Stoffer, Manfred Hammer, E. V. Groesen

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引用次数: 3

摘要

提出了具有任意二维截面的三维介质波导的变分矢量模式求解方法。它的基础是将模态剖面的每个分量展开为在一个坐标轴上定义的一些先验定义函数与在另一个坐标轴上定义的一些未知连续系数函数的叠加。通过应用变分约束程序，确定了未知系数函数作为真实矢量模态轮廓的最优逼近。几个示例说明了该方法的性能。

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A vectorial variational mode solver and its application to piecewise constant and diffused waveguides

A variational vectorial mode solver for 3-D dielectric waveguides with arbitrary 2-D cross-sections is proposed. It is based on expansion of each component of a mode profile as a superposition of some a priori defined functions defined on one coordinate axis times some unknown continuous coefficient functions, defined on the other axis. By applying a variational restriction procedure the unknown coefficient functions are determined as an optimum approximation of the true vectorial mode profile. A couple of examples illustrate the performance of the method.

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2008 12th International Conference on Mathematical Methods in Electromagnetic Theory

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