Abstract
The stability characteristics of the anti-symmetric TE 1 stationary wave in symmetric nonlinear planar waveguides (SNPW) is investigated both analytically and numerically. It is shown, for the first time, that eigenvalues of the corresponding linear stability analysis can be complex in a certain range of parameters. This fact makes the range of instability of the TE 1 wave broader than in studies where the eigenvalues are restricted to being only real or purely imaginary. Nevertheless, for high values of the propagation constant β, the TE 1 wave is stable, in contrast to the symmetric TE 0 wave which is unstable at high values of β.
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