Uniform asymptotic of solution of the cubic nonlinear Schrodinger equation in the focal area of the narrow 2-dimensional focused light beam

Author

Proekt, L.B. ; Tropp, E.A.

Author_Institution

A.F. Ioffe Physicotech. Inst., Acad. of Sci., St. Petersburg, Russia

Volume

2

fYear

1997

fDate

27-29 Aug 1997

Firstpage

323

Abstract

The paper is devoted to the study of the diffraction of a two-dimensional narrow focused light beam propagating through the matter whose dielectrical permeability depends on the intensity of a transversal component of the electrical field. It is well known that this process may be described with satisfactory precision by nonlinear Schrodinger equation (NS) with cubic nonlinear part

Keywords

Schrodinger equation; light diffraction; light propagation; nonlinear differential equations; optical focusing; permeability; cubic nonlinear Schrodinger equation; cubic nonlinear part; dielectrical permeability; diffraction; electrical field transversal component; focal area; focused light beam; intensity; light beam propagation; narrow 2-dimensional focused light beam; nonlinear Schrodinger equation; Dielectrics; Diffraction; Geometrical optics; Integral equations; Inverse problems; Nonlinear equations; Optical propagation; Optical scattering; Permeability; Schrodinger equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference

Conference_Location

St. Petersburg

Print_ISBN

0-7803-4247-X

Type

conf

DOI

10.1109/COC.1997.631358

Filename

631358