Modulational instability of two-transverse-dimensional surface polariton waves in nonlinear dielectric waveguides

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Abstract
It is predicted and confirmed numerically that the nonlinear stationary waves on the surface polariton branch of a thin-film dielectric waveguide are unstable to transverse spatial fluctuations in the dimension parallel to the confining layers. Bounded waves whose peaks are located within the linear thin-film guiding layer show behavior in qualitative agreement with that of earlier studies on the two-dimensional propagation problem.