Improved finite-difference beam-propagation method based on the generalized Douglas scheme and its application to semivectorial analysis

Author

Yamauchi, Junji ; Shibayama, Jun ; Saito, Osamu ; Uchiyama, Osamu ; Nakano, Hisamatsu

Author_Institution

Coll. of Eng., Hosei Univ., Tokyo, Japan

Volume

14

Issue

10

fYear

1996

fDate

10/1/1996 12:00:00 AM

Firstpage

2401

Lastpage

2406

Abstract

The generalized Douglas scheme for variable coefficients is applied to the propagating beam analysis. Once the alternating direction implicit method is used, the truncation error is reduced in the transverse directions compared with the conventional Crank-Nicholson scheme, maintaining a tridiagonal system of linear equations. Substantial improvement in the accuracy is achieved even in the TM mode propagation. As an example of the semivectorial analysis, the propagating field and the attenuation constant of a bent embedded waveguide with a trench section are calculated and discussed

Keywords

bending; error analysis; finite difference methods; integrated optics; integrated optoelectronics; optical waveguide theory; vectors; Crank-Nicholson scheme; TM mode propagation; alternating direction implicit method; attenuation constant; bent embedded waveguide; finite-difference beam-propagation method; generalized Douglas scheme; integrated optical circuit design; linear equations; propagating beam analysis; propagating field; semivectorial analysis; transverse directions; trench section; tridiagonal system; truncation error; variable coefficients; Circuits; Equations; Finite difference methods; Finite wordlength effects; Helium; Optical attenuators; Optical design; Optical propagation; Optical sensors; Optical waveguides;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.541236

Filename

541236