Optical vortex solitons and nonlinear Aharanov-Bohm effect

Dragomir Neshev; Alexander A. Nepomnyashchy; Yuri S. Kivshar

doi:10.1117/12.428268

30 May 2001 Optical vortex solitons and nonlinear Aharanov-Bohm effect

Dragomir Neshev, Alexander A. Nepomnyashchy, Yuri S. Kivshar

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.

Citation Download Citation

Dragomir Neshev, Alexander A. Nepomnyashchy, and 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); https://doi.org/10.1117/12.428268

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