An improved finite-difference vector beam propagation formulation for graded-index waveguides

Author

Yip, G.L. ; Noutsios, P.C.

Author_Institution

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

Volume

6

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

543

Lastpage

545

Abstract

An improved finite-difference vector beam propagation formulation for graded-index waveguides is presented. The modification over the existing version involves a more accurate representation of the Fresnel operator in finite-difference form that accounts for the gradient of the refractive index in the vector Hehmholtz equation. The modified scheme is assessed by calculating the TM mode propagation constants of single-mode planar guides that yield better agreement to the exact values over the existing scheme. Furthermore, the calculated coupling lengths of a vertical directional coupler show improved comparison to experimental data.<>

Keywords

directional couplers; finite difference methods; gradient index optics; optical couplers; optical waveguide theory; optical waveguides; Fresnel operator; TM mode propagation constants; coupling lengths; finite-difference vector beam propagation formulation; graded-index waveguides; refractive index; single-mode planar guides; vector Hehmholtz equation; vertical directional coupler; Design optimization; Directional couplers; Electromagnetic waveguides; Equations; Fast Fourier transforms; Finite difference methods; Propagation constant; Refractive index; Tellurium;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.281821

Filename

281821