Simplified coupled-wave equations for cylindrical waves in circular grating planar waveguides

Author

Wu, Chunmeng ; Makino, Toshihiko ; Maciejko, Romain ; Najafi, S. Iraj ; Svilans, Mikelis

Author_Institution

Bell-Northern Res. Ltd., Ottawa, Ont., Canada

Volume

10

Issue

11

fYear

1992

fDate

11/1/1992 12:00:00 AM

Firstpage

1575

Lastpage

1589

Abstract

A simplified form of the coupled-wave equations for cylindrical waves in circular grating distributed feedback (DFB) planar waveguides is presented. The coupling coefficients can be expressed as the product of a cylindrical-wave factor and the corresponding coupling coefficient between planar waveguide modes. Under the large radius approximation (βr≫1), which covers most practical cases, the interpolarization coupling between TE and TM cylindrical waves approaches zero. The coupled-wave equations can then be reduced to two independent families, one for TE- and the other for TM-cylindrical waves

Keywords

diffraction gratings; optical waveguide theory; circular grating distributed feedback planar waveguides; coupled-wave equations; coupling coefficients; cylindrical-wave factor; large radius approximation; planar waveguide modes; transverse electric cylindrical waves; transverse magnetic cylindrical waves; Distributed Bragg reflectors; Distributed feedback devices; Equations; Frequency; Gratings; Laser theory; Periodic structures; Permittivity; Planar waveguides; Tellurium;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.184896

Filename

184896