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 | |
| 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
Funding
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.