The algorithm comparison for solving eigen problems in open optical waveguides

Jianxin Zhu; Shuyuan Tang

doi:10.1117/12.575148

10 February 2005 The algorithm comparison for solving eigen problems in open optical waveguides

Jianxin Zhu, Shuyuan Tang

Proceedings Volume 5638, Optical Design and Testing II; (2005) https://doi.org/10.1117/12.575148
Event: Photonics Asia, 2004, Beijing, China

Abstract

In this paper, based on the Rayleigh quotient and its generalized Rayleigh quotient, two treatments are developed to solve the complex eigenvalue problems, which arise from the analysis of the optical wave propagation in Slab waveguides with some perfectly matched layers. Numerical examples illustrate that these treatments are efficient and feasible, and the generalized Rayleigh quotient method is better than the Rayleigh quotient method for some eigenvalues with smaller norm.

Citation Download Citation

Jianxin Zhu and Shuyuan Tang "The algorithm comparison for solving eigen problems in open optical waveguides", Proc. SPIE 5638, Optical Design and Testing II, (10 February 2005); https://doi.org/10.1117/12.575148

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