Optical vortex solitons and nonlinear Aharonov-Bohm effect

D. Neshev; A. A. Nepomnyashchy; Y. S. Kivshar

doi:10.1117/12.428268

Optical vortex solitons and nonlinear Aharonov-Bohm effect

D. Neshev
, A. A. Nepomnyashchy
, Y. S. Kivshar

Research output: Contribution to journal › Article › peer-review

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 modulational (snake) instability of the stripe that generates two trains of vortices with opposite charges.

Original language	English
Pages (from-to)	192-199
Number of pages	8
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	4403
DOIs	https://doi.org/10.1117/12.428268
Publication status	Published - 2001

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title = "Optical vortex solitons and nonlinear Aharonov-Bohm effect",

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 modulational (snake) instability of the stripe that generates two trains of vortices with opposite charges.",

keywords = "Snake instability, Spatial optical solitons, The Aharonov-Bohm effect, Vortex solitons",

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year = "2001",

doi = "10.1117/12.428268",

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pages = "192--199",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

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TY - JOUR

T1 - Optical vortex solitons and nonlinear Aharonov-Bohm effect

AU - Neshev, D.

AU - Nepomnyashchy, A. A.

AU - Kivshar, Y. S.

PY - 2001

Y1 - 2001

N2 - 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 modulational (snake) instability of the stripe that generates two trains of vortices with opposite charges.

AB - 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 modulational (snake) instability of the stripe that generates two trains of vortices with opposite charges.

KW - Snake instability

KW - Spatial optical solitons

KW - The Aharonov-Bohm effect

KW - Vortex solitons

UR - https://www.scopus.com/pages/publications/0034862398

U2 - 10.1117/12.428268

DO - 10.1117/12.428268

M3 - Article

SN - 0277-786X

VL - 4403

SP - 192

EP - 199

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

ER -

Optical vortex solitons and nonlinear Aharonov-Bohm effect

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