Efficient time-domain finite-difference beam propagation methods for the analysis of slab and circularly symmetric waveguides

Author

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

Author_Institution

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

Volume

18

Issue

3

fYear

2000

fDate

3/1/2000 12:00:00 AM

Firstpage

437

Lastpage

442

Abstract

The generalized Douglas scheme is applied to the time-domain finite difference beam propagation methods (TD-BPMs) in rectangular and cylindrical coordinates. High accuracy and efficiency are demonstrated through the analysis of optical pulse propagation in slab and circularly symmetric waveguides. As an example of a reflection problem, the TD-BPM in cylindrical coordinates is applied to the analysis of a fiber Bragg grating with a sinusoidal index change. Effectiveness of the present scheme is discussed in comparison with the conventional TD-BPM and the finite-difference time-domain method.

Keywords

Bragg gratings; finite difference time-domain analysis; light reflection; optical fibre theory; optical waveguide theory; optical waveguides; symmetry; circularly symmetric waveguides; cylindrical coordinates; fiber Bragg grating; finite-difference time-domain method; generalized Douglas scheme; optical pulse propagation; rectangular coordinates; reflection problem; sinusoidal index change; slab symmetric waveguides; time-domain finite difference beam propagation methods; time-domain finite-difference beam propagation methods; Bragg gratings; Fiber gratings; Finite difference methods; Optical beams; Optical propagation; Optical reflection; Optical waveguides; Rectangular waveguides; Slabs; Time domain analysis;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.827518

Filename

827518