Title :
Projection methods for computation of spectral characteristics of weakly guiding optical waveguides
Author :
Spiridonov, A.O. ; Karchevskiy, Evgeny M.
Author_Institution :
Dept. of Appl. Math., Kazan (Volga region) Fed. Univ., Kazan, Russia
Abstract :
The original problem on surface and leaky eigen-modes of a weakly guiding step-index optical waveguide is considered. The original problem is reduced to a nonlinear spectral problem for the set of weakly singular boundary integral equations. We approximate the integral operator by collocation and Galerkin methods. Their convergence and quality are proved by numerical experiments.
Keywords :
Galerkin method; boundary integral equations; convergence of numerical methods; eigenvalues and eigenfunctions; nonlinear optics; optical waveguides; Galerkin method; collocation method; convergence; integral operator; leaky eigenmodes; nonlinear spectral problem; projection method; spectral characteristics; surface eigenmodes; weakly guiding step-index optical waveguide; weakly singular boundary integral equations; Convergence; Diffraction; Finite difference methods; Method of moments; Optical diffraction; Optical waveguides;
Conference_Titel :
Days on Diffraction (DD), 2013
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-1037-3
DOI :
10.1109/DD.2013.6712817
