Accurate solution of the paraxial wave equation using Richardson extrapolation

Author

Chinni, V.R. ; Menyuk, C.R. ; Wai, P.K.A.

Author_Institution

Dept. of Electr. Eng., Maryland Univ., Baltimore, MD, USA

Volume

6

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

409

Lastpage

411

Abstract

Richardson extrapolation is used along with the midstep Euler finite difference method to solve the paraxial wave equation. Highly accurate solutions can be efficiently obtained using this combined approach. Numerical results are presented for wave propagation in a straight integrated optical waveguide and a Y-junction waveguide. Discretization errors in both the propagation and the transverse dimension can be systematically eliminated by using Richardson extrapolation. Accuracies on the order of 10/sup /spl minus/11/ or better are obtained.<>

Keywords

finite difference methods; integrated optics; optical waveguide theory; wave equations; Richardson extrapolation; Y-junction waveguide; accurate solution; discretization errors; midstep Euler finite difference method; numerical results; paraxial wave equation; straight integrated optical waveguide; transverse dimension; wave propagation; Couplers; Difference equations; Extrapolation; Finite difference methods; Integrated optics; Optical devices; Optical propagation; Optical pulses; Optical waveguides; Partial differential equations;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.275502

Filename

275502