New theoretical developments in nonlinear guided waves: Stability of TE<inf>1</inf>branches

Abstract

We determine the stability of TE <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> , nonlinear, stationary wave solutions in planar optical waveguides with nonlinear substrate and cladding bounding media. Our numerical scheme involves propagation of the transverse field distribution corresponding to a standing wave solution on the appropriate branch of the nonlinear dispersion curve. The results indicate that large regions on the TE <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> branches are unstable. Limited results are also given for a TE <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> branch with a power threshold.