Improved coupled-mode theory for nonlinear directional couplers

Author

Meng, Xue Jun ; Okamoto, Naomichi

Author_Institution

Graduate Sch. of Electron. Sci. & Technol., Shizuoka Univ., Hamamatsu, Japan

Volume

27

Issue

5

fYear

1991

fDate

5/1/1991 12:00:00 AM

Firstpage

1175

Lastpage

1181

Abstract

An improved coupled-mode equation for nonlinear directional couplers (NLDC) with Kerr-like nonlinear media is proposed. The method is based on the generalized reciprocity relation in which two sets of field solutions satisfying Maxwell´s equations are for the NLDC and for the isolated nonlinear waveguide. That leads to a reasonable result that all the coefficients in the coupled-mode equations, including the coupling coefficient, become power dependent. For the NLDC with a self-focusing or self-defocusing nonlinear material, the authors examine how the coupling coefficient, the coupling length, and the guided power depend on the input power in the range of coupling stronger than in previous reports. It is found that the critical power at which the coupling length becomes infinity does not increase as much with the two guides for the case of self-focusing media

Keywords

directional couplers; optical Kerr effect; optical couplers; optical waveguide theory; Kerr-like nonlinear media; Maxwell´s equations; coupled-mode equation; coupled-mode theory; coupling coefficient; coupling length; critical power; field solutions; generalized reciprocity relation; guided power; input power; isolated nonlinear waveguide; nonlinear directional couplers; self-defocusing nonlinear material; self-focusing media; Directional couplers; H infinity control; Maxwell equations; Nonlinear equations; Nonlinear optics; Optical coupling; Optical refraction; Optical variables control; Optical waveguides; Refractive index;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.83374

Filename

83374