Title :
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
fDate :
11/1/1992 12:00:00 AM
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;
Journal_Title :
Lightwave Technology, Journal of
