Nonlinear beam tapering and two-dimensional ring solitons

V. K. Mezentsev; Evgeniy V. Podivilov; Irina A. Vaseva; Mikhail P. Fedoruk; Alexander M. Rubenchik; Sergei Turitsyn

doi:10.1103/PhysRevE.106.054205

Nonlinear beam tapering and two-dimensional ring solitons

V. K. Mezentsev, Evgeniy V. Podivilov, Irina A. Vaseva, Mikhail P. Fedoruk, Alexander M. Rubenchik, Sergei Turitsyn

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

Abstract

We examine a possibility to exploit the nonlinear lens effect - the initial stage of self-focusing to localize initially broad field distribution into the small central area where wave collapse is arrested - the nonlinear beam tapering. We describe two-dimensional localized solitary waves (ring solitons) in a physical system that presents a linear medium in the central core, surrounded by the cladding with the focusing Kerr nonlinearity. The standard variational analysis demonstrates that such solitons correspond to the minimum of the Hamiltonian.

Original language	English
Article number	054205
Number of pages	7
Journal	Physical Review E
Volume	106
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.106.054205
Publication status	Published - 8 Nov 2022

Bibliographical note

Funding Information:
The work has been supported by the Russian Science Foundation (Grant No. 17-72-30006). The work of A.R. was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract No. DE-AC52-07NA27344.
©2022 American Physical Society, version of record found at https://doi.org/10.1103/PhysRevE.106.054205

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Mezentsevetal_2022_AAM
©2022 American Physical Society, version of record found at https://doi.org/10.1103/PhysRevE.106.054205 V. K. Mezentsev, E. Podivilov, I. A. Vaseva, M. P. Fedoruk, A. M. Rubenchik, and S. K. Turitsyn; Nonlinear beam tapering and two-dimensional ring solitons, Phys. Rev. E 106, 054205
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title = "Nonlinear beam tapering and two-dimensional ring solitons",

abstract = "We examine a possibility to exploit the nonlinear lens effect - the initial stage of self-focusing to localize initially broad field distribution into the small central area where wave collapse is arrested - the nonlinear beam tapering. We describe two-dimensional localized solitary waves (ring solitons) in a physical system that presents a linear medium in the central core, surrounded by the cladding with the focusing Kerr nonlinearity. The standard variational analysis demonstrates that such solitons correspond to the minimum of the Hamiltonian.",

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AU - Fedoruk, Mikhail P.

AU - Rubenchik, Alexander M.

AU - Turitsyn, Sergei

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Nonlinear beam tapering and two-dimensional ring solitons

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