An economic method for the solution of the scalar wave equation for arbitrary shaped optical waveguides

Author

Hoekstra, Hugo J W M

Author_Institution

Twente Univ., Enschede, Netherlands

Volume

8

Issue

5

fYear

1990

fDate

5/1/1990 12:00:00 AM

Firstpage

789

Lastpage

793

Abstract

The discrete sine method, in which the basis functions consist of sine functions defined on a set of parallel discretization lines, is discussed. The method is a combination of a scalar version of the finite difference method and sine method. The choice of the basis set leads for the eigenvalue equation to be solved, to a sparse matrix with a small bandwidth. As a consequence, the propagation constant of guided modes in optical waveguides may be calculated with short computation times and low storage needs. Results obtained with the method for three different wave guiding structures are compared with those of other methods

Keywords

eigenvalues and eigenfunctions; functions; optical waveguide theory; arbitrary shaped optical waveguides; basis functions; discrete sine method; eigenvalue equation; finite difference method; guided modes; parallel discretization lines; propagation constant; scalar wave equation; sine functions; small bandwidth; sparse matrix; wave guiding structures; Bandwidth; Eigenvalues and eigenfunctions; Finite difference methods; Magnetic fields; Maxwell equations; Optical waveguides; Partial differential equations; Samarium; Sparse matrices; Transmission line matrix methods;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.54489

Filename

54489