Spurious roots in nonlinear waveguide calculations and a new format for nonlinear waveguide dispersion equations

Author

Chiang, H. Kenny ; Kenan, Richard P. ; Summers, Christopher J.

Author_Institution

Center for Opt. Sci. & Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

28

Issue

8

fYear

1992

fDate

8/1/1992 12:00:00 AM

Firstpage

1756

Lastpage

1760

Abstract

The existence of spurious roots in the widely used nonlinear waveguide dispersion equations is demonstrated. The spurious roots exist even when the linear waveguide dispersion equations are written in terms of the sine and cosine functions. The authors compare the similarities between the linear and nonlinear dispersion equations and present a new format of the nonlinear dispersion equations that simplify the numerical calculations and avoid the appearance of spurious roots

Keywords

nonlinear optics; optical dispersion; optical waveguide theory; cosine functions; linear waveguide dispersion equations; nonlinear dispersion equations; nonlinear waveguide calculations; nonlinear waveguide dispersion equations; numerical calculations; sine functions; spurious roots; Differential equations; Ear; Jacobian matrices; Nonlinear equations; Nonlinear optical devices; Nonlinear optics; Optical devices; Optical films; Optical waveguides; Waveguide components;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.142570

Filename

142570