Projection methods for computation of spectral characteristics of weakly guiding optical waveguides

A. Spiridonov, E. Karchevskiy
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引用次数: 18

Abstract

The original problem on surface and leaky eigen-modes of a weakly guiding step-index optical waveguide is considered. The original problem is reduced to a nonlinear spectral problem for the set of weakly singular boundary integral equations. We approximate the integral operator by collocation and Galerkin methods. Their convergence and quality are proved by numerical experiments.
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计算弱导光波导光谱特性的投影方法
考虑了弱导阶跃折射率光波导表面和漏本征模的原始问题。将原问题简化为一类弱奇异边界积分方程组的非线性谱问题。利用配置法和伽辽金法对积分算子进行近似。数值实验证明了它们的收敛性和可靠性。
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