Transverse instability of incoherent solitons in Kerr media.
We calculate the growth rate of the small-amplitude perturbations superimposed on a one-dimensional soliton that is fully coherent in the self-trapping dimension, yet uniform and partially incoherent in the other transverse dimension. Such solitons become transversely stable only if the correlation distance is below a specific threshold value. We show that this threshold for transverse instability fully coincides with the threshold value for modulational instability.
Torres
Juan P
JP
Department of Signal Theory and Communications, Polytechnic University of Catalonia, 08034 Barcelona, Spain.
Anastassiou
Charalambos
C
Segev
Mordechai
M
Soljacic
Marin
M
Christodoulides
Demetrios N
DN