Accurate Full-Vectorial Finite Element Method Combined with Exact Non-Reflecting Boundary Condition for Computing Guided Waves in Optical Fibers-Reference-Cited by-同舟云学术

Accurate Full-Vectorial Finite Element Method Combined with Exact Non-Reflecting Boundary Condition for Computing Guided Waves in Optical Fibers

Published:2021-06-23 Issue:1 Volume:22 Page:31-46
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:en
Short-container-title:

Author:

Dautov Rafail Z.¹,Karchevskii Evgenii M.²

Affiliation:

1. Department of Numerical Mathematics , Kazan Federal University , 18 Kremliovskaya street , Kazan , 420008 , Russia

2. Department of Applied Mathematics , Kazan Federal University , 18 Kremliovskaya street , Kazan , 420008 , Russia

Abstract

Abstract The vector electromagnetic problem for eigenwaves of optical fibers, originally formulated on the whole plane, is equivalently reduced to a linear parametric eigenvalue problem posed in a circle, convenient for numerical solution. The study of the solvability of this problem is based on the spectral theory of compact self-adjoint operators. Asymptotic properties of the dispersion curves and their smoothness are investigated for the new formulation of the problem. A numerical method based on finite element approximations combined with an exact non-reflecting boundary condition is developed. Error estimates for approximating eigenvalues and eigenfunctions are derived.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/cmam-2020-0162/pdf

Reference15 articles.

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1. Accurate Simulation of Guided Waves in Optical Fibers Using Finite Element Method Combined with Exact Non-reflecting Boundary Condition;Lecture Notes in Computational Science and Engineering;2021-10-21