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Effect of polarization on the trajectory of dissipative solitons
N. R. Sadykov Russian Federal Nuclear Center E. I. Zababakhin All-Russian Scientific Research Institute of Technical Physics
Abstract:
We show that the optical magnus effect for dissipative solitons is determined not only by the helicity but also by the topological index, i.e., by the magnetic quantum number or by the projection of the soliton orbital moment on its trajectory. In the case of inhomogeneous media, we find a relation between the optical magnus effect and the nonholonomy of the field of unit vectors tangent to the trajectory.
Keywords:
dissipative soliton, optical Magnus effect, effect of polarization on the trajectory.
Received: 04.09.2007 Revised: 09.03.2008
Citation:
N. R. Sadykov, “Effect of polarization on the trajectory of dissipative solitons”, TMF, 158:1 (2009), 126–134; Theoret. and Math. Phys., 158:1 (2009), 105–111
Linking options:
https://www.mathnet.ru/eng/tmf6303https://doi.org/10.4213/tmf6303 https://www.mathnet.ru/eng/tmf/v158/i1/p126
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