Analysis of grating surface emitting lasers

Author

Noll, R.J. ; Macomber, S.H.

Author_Institution

Perkin-Elmer Corp., Danbury, CT, USA

Volume

26

Issue

3

fYear

1990

fDate

3/1/1990 12:00:00 AM

Firstpage

456

Lastpage

466

Abstract

An approach to the analysis of grating-coupled semiconductor lasers is presented. It is shown that there are only two resonant solutions when the grating has infinite extent. The solutions are either symmetric or antisymmetric about the center of the longitudinal coordinate system where the antisymmetric solution is nonradiating. The field in the grating layer is expressed in terms of grating eigenfunctions and rigorously matched to the boundary conditions at the waveguide interface. Solutions to the finite-length grating problem are expressed as linear combinations of the infinite-length solutions. It is shown that the two diffraction parameters in the coupled-wave equations are composed of sums and differences of the eigenvalues from the infinite-length problem

Keywords

diffraction gratings; eigenvalues and eigenfunctions; optical couplers; optical waveguides; semiconductor junction lasers; Au second-order gratings; antisymmetric; boundary conditions; coupled-wave equations; diffraction parameters; finite-length grating problem; grating eigenfunctions; grating layer; grating surface emitting lasers; grating-coupled semiconductor lasers; infinite gratings; infinite length solution eigenvalues; infinite-length solutions; linear combinations; longitudinal coordinate system; nonradiating antisymmetric solutions; resonant solutions; symmetric; waveguide interface; Diffraction gratings; Distributed feedback devices; Eigenvalues and eigenfunctions; Gold; Laser feedback; Laser modes; Optical waveguides; Resonance; Surface emitting lasers; Waveguide lasers;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.52121

Filename

52121