New theoretical developments in nonlinear guided waves: Stability of TE1branches

We determine the stability of TE
1
, 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
1
branches are unstable. Limited results are also given for a TE
2
branch with a power threshold.