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

Autor:	Evgenii M. Karchevskii, Rafail Z. Dautov
Rok vydání:	2021
Předmět:	Physics Computational Mathematics Numerical Analysis Optical fiber law Applied Mathematics Mathematical analysis Boundary value problem Finite element method law.invention
Zdroj:	Computational Methods in Applied Mathematics. 22:31-46
ISSN:	1609-9389 1609-4840
DOI:	10.1515/cmam-2020-0162
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::326db970e6cb8ddc3fe31dde178e03b6 https://doi.org/10.1515/cmam-2020-0162 Zobrazit plný text záznamu