Modes of open layered anisotropic waveguides: a numerical method with exponential convergence

被引：0
作者：
Vito Lancellotti
Renato Orta
机构：
[1] Politecnico di Torino,Dipartimento di Elettronica
来源：
Optical and Quantum Electronics | 1999年 / 31卷
关键词：
anisotropic media; numerical methods; waveguides;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A spectral-element type approach to determine the propagation characteristics of the bound modes of an open planar layered anisotropic waveguide is proposed. The main feature is the expansion of the electromagnetic field in each internal layer on different sets of Legendre polynomials. In the two embedding halfspaces, sets of weighted Laguerre polynomials are used. In this way, the method converges with exponential rate with increasing number of basis functions. No transcendental equation has to be solved and even modes that may exhibit coinciding or very close propagation constants are computed with great accuracy. A detailed analysis of the convergence properties of the algorithm is carried out and a way to estimate and control the error on the propagation constants is discussed.
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页码：781 / 796
页数：15
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