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Transverse instability in a nonlinear waveguide. I. Linear analysis

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Abstract

A laser incident normally upon a waveguide with a Kerr nonlinearity is considered. Although the laser is uniform in the plane of the waveguide, it is shown that the waveguide fields can be unstable to growth, forming coherent, periodic structures that are similar to those seen in experiments producing permanent laser-induced periodic surface structure. The initial structure and the exponential time dependence of the unstable field are determined. Finally, it is noted that the mechanism responsible for this instability is the same as that required for phase conjugation through degenerate four-wave mixing.

© 1991 Optical Society of America

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