Auto-waveguide propagation and the collapse of spiral light beams in non-linear media
- 7 December 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (23) , 4381-4395
- https://doi.org/10.1088/0305-4470/21/23/020
Abstract
The equation governing the propagation of spiral beams in a non-linear medium is analysed. It is shown that, taking into account the saturation effect, spiral beams have a tube-like structure with a periodicity along the axis of a non-linear autoguide. A critical power is found which it is necessary to exceed in order to give rise to the indicated autoguided regime of the beam propagation. Furthermore, in this work a strict self-similar solution is obtained of a non-linear Schrodinger-type equation that describes the collapse of spiral beams, and a new class of self-similar solutions is found for the case of spherical symmetry.Keywords
This publication has 7 references indexed in Scilit:
- Spiral self-trapping propagation of optical beams in media with cubic nonlinearityPhysics Letters A, 1985
- Similarity structure of wave-collapsePhysica D: Nonlinear Phenomena, 1985
- Propagation of high-order azimuthal Fourier terms of the amplitude distribution of a light beam: a useful featureJournal of the Optical Society of America A, 1984
- Self-focusing: ExperimentalProgress in Quantum Electronics, 1975
- Self-focusing: TheoryProgress in Quantum Electronics, 1975
- Self-focusing and diffraction of light in a Nonlinear mediumUspekhi Fizicheskih Nauk, 1967
- Self-Trapping of Optical BeamsPhysical Review Letters, 1964