Statistical Theory for Incoherent Light Propagation in Nonlinear Media

Details Statistical Theory for Incoherent Light Propagation in Nonlinear Media Statistical Theory for Incoherent Light Propagation in Nonlinear Media

2001-04-26

arxiv.org/abs/nlin/0104063v2

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, REVTeX4. Submitted to Physical Review E. Revised manuscript

Scientific paper

10.1103/PhysRevE.65.035602

A novel statistical approach based on the Wigner transform is proposed for the description of partially incoherent optical wave dynamics in nonlinear media. An evolution equation for the Wigner transform is derived from a nonlinear Schrodinger equation with arbitrary nonlinearity. It is shown that random phase fluctuations of an incoherent plane wave lead to a Landau-like damping effect, which can stabilize the modulational instability. In the limit of the geometrical optics approximation, incoherent, localized, and stationary wave-fields are shown to exist for a wide class of nonlinear media.

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