We present a comprehensive study of the one-dimensional modulation instability of partially spatially incoherent light in noninstantaneous self-focusing media. For this instability to occur, the nonlinearity has to exceed a specific threshold that depends on the coherence properties of the beam. Above this threshold a uniform-intensity partially spatially coherent wave front becomes unstable and breaks up into periodic trains of one-dimensional stripes.
© 2002 Optical Society of America
Detlef Kip, Marin Soljačić, Mordechai Segev, Suzanne M. Sears, and Demetrios N. Christodoulides, "(1+1)-Dimensional modulation instability of spatially incoherent light," J. Opt. Soc. Am. B 19, 502-512 (2002)