Evolution and collapse of a Lorentz beam in Kerr medium

Document Type

Article

Publication Date

1-1-2011

Abstract

The effect of Kerr nonlinearity on a Lorentz beam is investigated by using the nonlinear Schrodinger (NLS) equation. Based on the variational method, the evolution of a Lorentz beam in a Kerr medium is demonstrated and the critical collapse powers of the Lorentz beam are derived. Numerical simulations of the propagation of a Lorentz beam in a Kerr medium show that the beam becomes quasi-circular in a very short distance. Although the beam width of the Lorentz beam broadens, the central part of the beam give rise to a partial collapse.

Keywords

Electromagnetic-wave propagation, Nonlinear schrodinger-equations, Power-law nonlinearity, Optical solitons, Variational approach, Gaussian-beam, Laser-beams, Fibers, Guides

Divisions

PHYSICS

Publication Title

Progress In Electromagnetics Research

Volume

121

Publisher

‎EMW Publishing

Additional Information

Department of Physics, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, MALAYSIA

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