Abstract

We present a numerical stability analysis of the recently reported fundamental dark surface wave [ J. Opt. Soc. Am. B 8, 759 ( 1991)]. We show that the dark-power dispersion relation for the wave bifurcates into two branches and that the lower-power branch is stable, whereas the higher-power branch is unstable. This bifurcation is a result of topological differences between the phase-space portraits for each of the surface-wave solutions. Finally, we show that the numerical results of the analysis may be understood with the aid of a coupled-mode model.

© 1991 Optical Society of America

Stationary fundamental dark surface waves

Steven R. Skinner and David R. Andersen
J. Opt. Soc. Am. B 8(4) 759-764 (1991)

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