Unified nonlinear waveguide dispersion equations without spurious roots

Author

Li, Yi-Fan ; Iizuka, Keigo

Author_Institution

Dept. of Electr. Eng., Toronto Univ., Ont., Canada

Volume

31

Issue

5

fYear

1995

fDate

5/1/1995 12:00:00 AM

Firstpage

791

Lastpage

794

Abstract

Analysis is made of the behavior of transverse electric (TE) waves in an optical waveguide comprising a nonlinear film sandwiched between two semi-infinite linear media. Unified expression of dispersion equation is presented for all different nonlinear waveguides, which could have any possible linear dielectric profile, and comprise a nonlinear film with either self-focusing or self-defocusing nonlinearity. This new dispersion equation offers simple numerical calculations and avoids the appearance of spurious roots

Keywords

dispersion relations; nonlinear optics; optical Kerr effect; optical dispersion; optical films; optical waveguide theory; TE waves; dispersion equation; linear dielectric profile; nonlinear film; nonlinear waveguides; numerical calculations; optical waveguide; self-defocusing nonlinearity; self-focusing; semi-infinite linear media; spurious roots; transverse electric wave; unified nonlinear waveguide dispersion equations; Dielectric constant; Differential equations; Jacobian matrices; Nonlinear equations; Nonlinear optics; Optical films; Optical waveguides; Propagation constant; Senior members; Tellurium;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.375924

Filename

375924