A vector Galerkin´s method based on E fields

Author

Wang, Sung-Yuen ; Lee, Wei-Yu ; Hwang, Shug-June

Author_Institution

Dept. of Electr. Eng., Tatung Inst. of Technol., Taipei, Taiwan

Volume

5

Issue

12

fYear

1993

Firstpage

1439

Lastpage

1441

Abstract

To find approximate solutions of the vector wave equation for general dielectric optical waveguides, a vector Galerkin´s method based on the transverse electric field (E formulation) is formulated and presented. The method is compared with the exact solution for a circular step-index fiber, and a agreement in beta /k to 0.4% with 16 basis functions in each of the two orthogonal directions is found. It is noted that the Hermite-Gaussian basis functions can overcome the difficulties in the choice of the adequate size of the enclosed domain.<>

Keywords

claddings; electric fields; optical fibre theory; refractive index; E fields; E formulation; Hermite-Gaussian basis functions; approximate solutions; basis functions; circular step-index fiber; dielectric optical waveguides; enclosed domain; exact solution; optical fibre analsis; orthogonal directions; transverse electric field; vector Galerkin´s method; vector wave equation; Dielectric devices; Geometrical optics; H infinity control; Laplace equations; Moment methods; Optical devices; Optical waveguides; Partial differential equations; Refractive index; Space technology;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.262567

Filename

262567