Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2001-07-03
published PRL 87, issue 4, electronic identifier 043901
Nonlinear Sciences
Pattern Formation and Solitons
4 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.87.043901
We study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what occurs in the scattered wave of electrons for the Aharonov-Bohm effect. For larger wave amplitudes, we study analytically and numerically the scattering of a dark-soliton stripe (a nonlinear analog of a small-amplitude wavepacket) by a vortex and observe a significant asymmetry of the scattered wave. Subsequently, a wavefront splitting of the scattered wave develops into transverse modulational instability, ``unzipping'' the stripe into trains of vortices with opposite charges.
Kivshar Yuri S.
Nepomnyashchy Alexander
Neshev Dragomir
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