Parallel computing for numerical calculations of step-index optical fibers eigenmodes by collocation method

Author

Spiridonov, A.O. ; Karchevskii, E.M.

Author_Institution

Dept. of Appl. Math., Kazan Fed. Univ., Kazan, Russia

fYear

2014

fDate

26-30 May 2014

Firstpage

209

Lastpage

214

Abstract

We study natural modes of weakly guiding optical fibers. The original problem is reduced to a nonlinear nonselfadjoint spectral problem for the set of weakly singular boundary integral equations. The integral operator is approximated by collocation method. We propose to use the singular value decomposition of the collocation method´s matrix for the initial approximation of eigenvalues. We implement parallel computing technologies (OpenMP and MPI) using a compact supercomputer.

Keywords

boundary integral equations; eigenvalues and eigenfunctions; numerical analysis; optical fibre theory; singular value decomposition; MPI parallel computing technology; OpenMP parallel computing technology; collocation method; compact supercomputer; eigenvalues; integral operator; natural modes; nonlinear nonselfadjoint spectral problem; numerical calculation; singular value decomposition; step-index optical fiber eigenmodes; weakly guiding optical fibers; weakly singular boundary integral equations; Approximation methods; Eigenvalues and eigenfunctions; Integrated optics; Parallel processing; Program processors; Supercomputers; Transmission line matrix methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Days on Diffraction (DD), 2014

Conference_Location

St. Petersburg

Print_ISBN

978-1-4799-7331-6

Type

conf

DOI

10.1109/DD.2014.7036452

Filename

7036452