The effects caused by nonresonant nonlinear interaction between noncollinear self-focusing beams are considered in two-dimensional optical samples by use of multiscale analysis. An analytical expression for beam trajectory shifts that are due to mutual interaction is derived, and the range of parameters is given, beyond which the mentioned consideration fails. We compare our results with the naive geometrical-optics model. It is shown that these two approaches give the same results. This justifies use of the geometrical-optics approach to describe elastic and almost-elastic collision processes both in Kerr and saturable nonlinear media. The results we obtained could be useful for the design of phase independent nonlinear photonic switches and all-optical logic elements.

© 2004 Optical Society of America

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