Stabilizing two-dimensional solitons in a Kerr cavity

Author

Firth, W.J. ; Lord, Andrew

Author_Institution

Dept. of Phys. & Appl. Phys., Strathclyde Univ., Glasgow, UK

fYear

1996

fDate

7-7 June 1996

Firstpage

111

Lastpage

112

Abstract

Summary form only given. In two transverse dimensions radially symmetric eigenmodes of the nonlinear Schrodinger equation (NLS) typically collapse to a catastrophic self-focus. In this paper we show that a Kerr medium in a driven dissipative cavity can support stable 2-D solitons, and we consider stabilization of the unstable solitons by control-of-chaos methods. We use the mean-field Kerr cavity model for a self-focusing Kerr medium.

Keywords

catastrophe theory; eigenvalues and eigenfunctions; optical Kerr effect; optical chaos; optical resonators; optical solitons; stability; symmetry; 2-D soliton; Kerr cavity; Kerr medium; catastrophic self-focus; control-of-chaos methods; dissipative cavity; mean-field Kerr cavity model; nonlinear Schrodinger equation; radially symmetric eigenmodes; self-focusing Kerr medium; transverse dimensions; two-dimensional soliton stabilisation; unstable solitons; Frequency conversion; Gallium arsenide; Optical coupling; Optimized production technology; Phase measurement; Propagation constant; Solitons; Space stations; Stability; Visualization;

fLanguage

English

Publisher

ieee

Conference_Titel

Quantum Electronics and Laser Science Conference, 1996. QELS '96., Summaries of Papers Presented at the

Conference_Location

Anaheim, CA, USA

Print_ISBN

1-55752-444-0

Type

conf

Filename

865635