Eliminating the transverse instabilities of kerr solitons
We show analytically, numerically, and experimentally that a transversely stable one-dimensional [(1+1)D] bright Kerr soliton can exist in a 3D bulk medium. The transverse instability of the soliton is completely eliminated if it is made sufficiently incoherent along the transverse dimension. We derive a criterion for the threshold of transverse instability that links the nonlinearity to the largest transverse correlation distance for which the 1D soliton is stable.
Anastassiou
C
Physics Department and the Solid State Institute, Technion, Haifa 32000, Israel and Electrical Engineering Department, Princeton University, Princeton, New Jersey 08544, USA.
Soljacic
M
Segev
M
Eugenieva
ED
Christodoulides
DN
Kip
D
Musslimani
ZH
Torres
JP