Hexagons and squares in a passive nonlinear optical system
- 1 October 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 50 (4), 3471-3485
- https://doi.org/10.1103/physreva.50.3471
Abstract
Pattern formation is analyzed and simulated in a nonlinear optical system involving all three space dimensions as well as time in an essential way. This system, counterpropagation in a Kerr medium, is shown to lose stability, for sufficient pump intensity, to a nonuniform spatial pattern. We observe hexagonal patterns in a self-focusing medium, and squares in a self-defocusing one, in good agreement with analysis based on symmetry and asymptotic expansions.Keywords
This publication has 36 references indexed in Scilit:
- Pattern formation outside of equilibriumReviews of Modern Physics, 1993
- Order Parameter Equations for PatternsAnnual Review of Fluid Mechanics, 1993
- Spatio-temporal structures. Part II. Vortices and defects in lasersPhysics Reports, 1992
- Spatio-temporal structures. Part IPhysics Reports, 1992
- Quantum noise reduction in a spatial dissipative structurePhysical Review Letters, 1992
- Spatial dark-soliton stripes and grids in self-defocusing materialsPhysical Review Letters, 1991
- Observation of spatial optical solitons in a nonlinear glass waveguideOptics Letters, 1990
- Optical vorticesOptics Communications, 1989
- Quasi-steady state self-trapping of first, second and third order subnanosecond soliton beamsOptics Communications, 1988
- Stable self-trapping of laser beams: Observation in a nonlinear planar waveguideOptics Communications, 1988