A variational coupled-mode theory including radiation loss for grating-assisted couplers

Author

Little, Brent E.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA

Volume

14

Issue

2

fYear

1996

fDate

2/1/1996 12:00:00 AM

Firstpage

188

Lastpage

195

Abstract

We calculate higher order effects such as frequency shifts and radiation loss in grating waveguides and grating couplers. The approach follows a vector variational principle which incorporates the Floquet components correct to first order. It is unnecessary to bring radiation modes into the formalism. This yields a simple coupled-mode formulation which includes attenuation due to radiation loss, and is correct to third order in the index contrast of the grating. Numerous examples are given which show excellent agreement with rigorous numerical simulations

Keywords

diffraction gratings; optical couplers; optical losses; optical waveguide theory; variational techniques; vectors; Floquet components; attenuation; coupled-mode formulation; first order; frequency shifts; grating couplers; grating waveguides; grating-assisted couplers; higher order effects; index contrast; radiation loss; radiation modes; rigorous numerical simulations; variational coupled-mode theory; vector variational principle; Couplers; Distributed feedback devices; Frequency; Gratings; Nonlinear optical devices; Numerical simulation; Optical attenuators; Optical filters; Optical resonators; Optical waveguides;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.482262

Filename

482262