|
Title : |
Spectral approximation of a boundary condition for an eigenvalue problem |
|
Year : |
1995 |
|
Type : |
paper in peer-reviewed journal |
|
Authors : |
A.-S. Bonnet-BenDhia, N. Gmati |
|
Abstract : |
To compute the guided modes of an optical fiber, the authors use a scalar approximation of Maxwell’s equations. This formulation leads to a bidimensional eigenvalue problem set in an unbounded domain. An equivalent formulation set in a bounded domain is derived. The boundary condition involves a Fourier series expansion. For the numerical treatment, only a finite number N of terms of the series is retained. The authors prove that the error on the eigenvalues and the eigenfunctions decreases faster than any power of ${1 / N}$.
Copyright © 1995 Society for Industrial and Applied Mathematics |
|
Themes : |
|
|
Reference : |
SIAM Journal on Numerical Analysis - vol. 32(4) (pp 1263-1279 ) |
