A three-dimensional horizontally wide-angle noniterative beam-propagation method based on the alternating-direction implicit scheme

Author

Shibayama, Jun ; Takahashi, Tatsuya ; Yamauchi, Junji ; Nakano, Hisamatsu

Author_Institution

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

Volume

18

Issue

5

fYear

2006

fDate

3/1/2006 12:00:00 AM

Firstpage

661

Lastpage

663

Abstract

A three-dimensional horizontally wide-angle beam-propagation method is proposed on the basis of the alternating-direction implicit scheme, in which the Pade´ approximant is applied only to the horizontal direction. The present formulation reduces the splitting error to the first order without an iteration procedure. The effectiveness is demonstrated through the wide-angle propagating beam analysis of a tilted optical waveguide.

Keywords

light propagation; optical waveguide theory; Pade approximant; alternating-direction implicit scheme; horizontally wide-angle beam-propagation method; noniterative beam-propagation method; splitting error; three-dimensional beam-propagation method; tilted optical waveguide; Circuits; Educational institutions; Equations; Optical beams; Optical planar waveguides; Optical propagation; Optical refraction; Optical variables control; Optical waveguides; Refractive index; Alternating-direction implicit (ADI) scheme; PadÉ approximant; beam-propagation method (BPM); optical waveguide; planar lightwave circuit;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/LPT.2006.870083

Filename

1593723