Analysis of Z-invariant and Z-variant semiconductor rib waveguides by explicit finite difference beam propagation method with nonuniform mesh configuration

Author

Chung, Youngchul ; Dagli, Nadir

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA

Volume

27

Issue

10

fYear

1991

fDate

10/1/1991 12:00:00 AM

Firstpage

2296

Lastpage

2305

Abstract

An efficient and simple explicit finite difference beam propagation method (EFD-BPM) incorporating nonuniform mesh is described. The criteria for stability are developed, and it is shown that this algorithm is power conserving when the stability criteria are met. EFD-BPM is applied to the analysis of single and coupled semiconductor rib waveguides and its accuracy is confirmed by comparing the results with the reported results. Nonuniform mesh is found to improve the efficiency of the method significantly for the analysis of weakly guiding waveguide structures. Several coupled rib waveguide structures with curved input and output branching sections are analyzed using both three-dimensional EFD-BPM and two-dimensional finite difference BPM combined with effective index approximation

Keywords

approximation theory; difference equations; integrated optics; optical couplers; optical waveguide theory; refractive index; coupled waveguides; curved input sections; effective index approximation; explicit finite difference beam propagation; nonuniform mesh configuration; output branching sections; power conserving algorithm; semiconductor rib waveguides; stability; weakly guiding waveguide structures; Design methodology; Etching; Finite difference methods; Integrated optics; Optical modulation; Optical refraction; Optical variables control; Optical waveguides; Semiconductor waveguides; Stability criteria;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.97273

Filename

97273