Title :
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
fDate :
8/1/1992 12:00:00 AM
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;
Journal_Title :
Quantum Electronics, IEEE Journal of
