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 - http://www.scopus.com/inward/record.url?scp=0034862398&partnerID=8YFLogxK
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 -