Elliminating The Transverse Instabilities of Kerr Solitons

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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14 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.85.4888

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

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