Analysis of nonlinear grating couplers by singular perturbation technique

Author

Yokota, Mitsuhiro

Author_Institution

Dept. of Electr. & Electron. Eng., Miyazaki Univ., Japan

Volume

12

Issue

12

fYear

1994

fDate

12/1/1994 12:00:00 AM

Firstpage

2049

Lastpage

2055

Abstract

The properties of the nonlinear output and input grating couplers are analyzed by using the singular perturbation technique with the multiple space scales. We first introduce the perturbation parameter concerned with the nonlinear parameter and the grating depth. After the wave functions are expanded, the perturbation solutions to satisfy the equivalent boundary conditions are derived. From the solvability condition to have nontrivial solutions on each perturbation order, the nonlinear equations to describe the power leakage of the guided wave due to the second-order coupling to the first-order waves are obtained. The dependence of the radiated field and the input efficiency on the power are discussed numerically

Keywords

boundary-value problems; diffraction gratings; integrated optics; optical Kerr effect; optical couplers; optical losses; perturbation techniques; equivalent boundary conditions; first-order waves; grating depth; guided wave; input efficiency; input grating couplers; multiple space scales; nonlinear equations; nonlinear grating couplers; nonlinear output; nonlinear parameter; nontrivial solutions; perturbation order; perturbation parameter; perturbation solutions; power leakage; radiated field; second-order coupling; singular perturbation technique; solvability condition; wave functions; Boundary conditions; Couplers; Couplings; Gratings; Nonlinear equations; Optical bistability; Optical films; Optical signal processing; Perturbation methods; Wave functions;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.350628

Filename

350628