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

被引：0
|
作者：
Dautov, Rafail Z. [2 ]
Karchevskii, Evgenii M. [1 ]
机构：
[1] Kazan Fed Univ, Dept Appl Math, 18 Kremliovskaya St, Kazan 420008, Russia
[2] Kazan Fed Univ, Dept Numer Math, 18 Kremliovskaya St, Kazan 420008, Russia
来源：
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2022年 / 22卷 / 01期
关键词：
Finite Element Method; Exact Non-Reflecting Boundary Condition; Spectral Problem; Optical Fiber; MODES;
D O I：
10.1515/cmam-2020-0162
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：31 / 46
页数：16
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