A multiple-scale analysis of grating-assisted couplers

Author

Little, Brent E. ; Huang, Weiping P. ; Chaudhari, S.K.

Author_Institution

Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

Volume

9

Issue

10

fYear

1991

fDate

10/1/1991 12:00:00 AM

Firstpage

1254

Lastpage

1263

Abstract

Optical directional couplers with longitudinal periodic perturbations or gratings are analyzed by a multiple-scale solution to the coupled-mode equations. The use of two length scales in the analysis becomes the key to obtaining globally valid analytic solutions, which are shown to be in excellent agreement with the exact numerical solutions. Because of the nonorthogonality of the coupled modes in the structure, two different coupling lengths, a maximum power transfer length and a zero crosstalk length, are predicted for the power exchange. The spectral properties of the coupler are also studied through a generalized multiple scale method

Keywords

diffraction gratings; directional couplers; optical couplers; optical waveguide theory; coupled mode nonorthogonality; coupled-mode equations; directional couplers; generalized multiple scale method; globally valid analytic solutions; grating-assisted couplers; gratings; length scales; longitudinal periodic perturbations; maximum power transfer length; multiple-scale analysis; optical couplers; power exchange; spectral properties; zero crosstalk length; Arrayed waveguide gratings; Councils; Directional couplers; Equations; Frequency conversion; Optical crosstalk; Optical frequency conversion; Optical waveguides; Phased arrays; Power markets;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.90923

Filename

90923