Modeling of graded-index channel waveguides using nonuniform finite difference method

Author

Kim, Chang Min ; Ramaswamy, Ramu V.

Author_Institution

Dept. of Electr. Eng., Florida Univ., Gainseville, FL, USA

Volume

7

Issue

10

fYear

1989

fDate

10/1/1989 12:00:00 AM

Firstpage

1581

Lastpage

1589

Abstract

A finite-difference method (FDM) with nonuniform discretization for the analysis of channel waveguides is presented. Application of the boundary conditions for either the quasi-TE or quasi-TM mode is illustrated. Flexible discretization of the grid structures minimizes memory size, resulting in much smaller computing time without sacrificing the accuracy of the solution. This nonuniform discretization FDM technique is used to model the well-guided small-mode-size Ti:LiNbO ₃ waveguides. The model treats both finite and infinite source diffusion cases. Quasi-TM mode profiles and the corresponding eigenvalues are rigorously evaluated and the theoretical results agree very well with the experimental results

Keywords

difference equations; gradient index optics; lithium compounds; optical waveguide theory; titanium; LiNbO₃:Ti; boundary conditions; computing time; eigenvalues; finite source diffusion; flexible discretisation; graded-index channel waveguides; grid structures; infinite source diffusion; memory size; modelling; nonuniform discretization; nonuniform finite difference method; quasi TE mode; quasi-TM mode; well-guided small-mode-size Ti:LiNbO₃ waveguides; Boundary conditions; Differential equations; Finite difference methods; Gallium arsenide; Grid computing; Quantum computing; Senior members; Strips; Transmission line matrix methods; Waveguide transitions;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.39101

Filename

39101