Finite element analysis of long optical structures

Author

Webb, J.P. ; Davies, J.B.

Author_Institution

Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1624

Lastpage

1627

Abstract

It is shown that it is possible to solve the Helmholtz equation with finite elements even in structures that are electrically long. Suitable basis functions are constructed from the modes of the changing cross-section of the structure; the modes themselves are obtained by a 1-D finite-element method (FEM) using high-order polynomials. Results are presented for transmission through a slab waveguide taper, and for the radiation loss in a Y junction. Since the modes of the cross-section are obtained numerically, the method is capable of modeling a wide range of geometries, and can probably be extended to 3-D

Keywords

dielectric waveguides; finite element analysis; optical losses; optical waveguide theory; polynomials; 1D FEM; Helmholtz equation; Y junction; cross-section modes; finite elements; high-order polynomials; long optical structures; radiation loss; slab waveguide taper; Educational institutions; Finite difference methods; Finite element methods; Frequency; Optical waveguides; Partial differential equations; Polynomials; Slabs; Voltage; Waveguide junctions;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250716

Filename

250716