Quasiexact theory of three-dimensional optical self-focusing

I. V. Alimenkov

Korolev Samara National Research University, Samara, Russia

Abstract: We find a quasiexact three-dimensional analytic solution of the nonlinear Schrödinger equation describing the field of a stationary optical beam in an unbounded homogeneous nonlinear isotropic medium supporting a state of linear polarization.

Keywords: nonlinear homogeneous isotropic medium, nonlinear Schrödinger equation for stationary optical beams, quasiexact analytic solution.

Received: 20.02.2017
Revised: 08.05.2019

DOI: 10.4213/tmf9354

 English version: Theoretical and Mathematical Physics, 2019, 201:2, 1581–1584

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