Title :
Unified nonlinear waveguide dispersion equations without spurious roots
Author :
Li, Yi-Fan ; Iizuka, Keigo
Author_Institution :
Dept. of Electr. Eng., Toronto Univ., Ont., Canada
fDate :
5/1/1995 12:00:00 AM
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;
Journal_Title :
Quantum Electronics, IEEE Journal of