30 May 2001 Optical vortex solitons and nonlinear Aharanov-Bohm effect
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Proceedings Volume 4403, Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications; (2001) https://doi.org/10.1117/12.428268
Event: Singular Optics 2000: Fundamentals and Applications of Optical Vortices, 2000, Crimea, Ukraine
Abstract
We study the scattering properties of optical vortex solitons generated in a self-defocusing nonlinear Kerr medium, analyzing both linear and nonlinear wave scattering. In the linear case, we find a splitting of a plane-wave front at the optical vortex proportional to the vortex 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 modulation (snake) instability of the stripe that generates two trains of vortices with opposite charges.
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Dragomir Neshev, Dragomir Neshev, Alexander A. Nepomnyashchy, Alexander A. Nepomnyashchy, Yuri S. Kivshar, Yuri S. Kivshar, "Optical vortex solitons and nonlinear Aharanov-Bohm effect", Proc. SPIE 4403, Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications, (30 May 2001); doi: 10.1117/12.428268; https://doi.org/10.1117/12.428268
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