Modulation Instability and Pattern Formation in Spatially Incoherent Light Beams
Detlef Kip, Marin Soljacic, Mordechai Segev, Evgenia Eugenieva, Demetrios N. Christodoulides
Abstract
We present the first experimental observation of modulation instability of partially spatially incoherent light beams in non-instantaneous nonlinear media. We show that even in such a nonlinear partially coherent system (of weakly-correlated particles) patterns can form spontaneously. Incoherent MI occurs above a specific threshold that depends on the beams' coherence properties (correlation distance), and leads to a periodic train of one-dimensional (1D) filaments. At a higher value of nonlinearity, incoherent MI displays a two-dimensional (2D) instability and leads to self-ordered arrays of light spots.
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