Hexagon patterns in optical bistability

Firth, WJ; Scroggie, AJ; McDonald, GS; Lugiato, LA

Abstract

The mean-field model of optical bistability in a ring cavity is extended to include diffraction in two transverse dimensions. Nonlinear analysis in the neighborhood of the instability of the homogeneous solution indicates the formation of stable hexagonal patterns, and this is confirmed by numerical simulation, with reasonable quantitative agreement. Simulations with higher excitation show defect structures and complex dynamical patterns.

Citation

Firth, W., Scroggie, A., McDonald, G., & Lugiato, L. (1992). Hexagon patterns in optical bistability. Physical Review A, 46(7), R3609-R3612. https://doi.org/10.1103/PhysRevA.46.R3609

• Journal Article Type: Article
• Publication Date: Oct 1, 1992
• Deposit Date: Oct 14, 2011
• Publicly Available Date: Apr 5, 2016
• Journal: Physical Review A
• Print ISSN: 1050-2947
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 46
• Issue: 7
• Pages: R3609-R3612
• DOI: https://doi.org/10.1103/PhysRevA.46.R3609
• Publisher URL: http://dx.doi.org/10.1103/PhysRevA.46.R3609