Spontaneous spatial fractal pattern formation in absorptive systems

Huang, J G; Christian, J M; McDonald, G S

Abstract

We predict, for the first time to our knowledge, that purely-absorptive nonlinearity can support spontaneous spatial fractal pattern formation. A passive optical ring cavity with a thin slice of saturable absorber is analyzed. Linear stability analysis yields threshold curves for Turing (static) instabilities with features proposed as characteristics of potential fractal pattern formation. Numerical simulations of the fully-nonlinear dynamics, with both one and two transverse dimensions, confirm theoretical predictions.

Citation

Huang, J. G., Christian, J. M., & McDonald, G. S. (2012). Spontaneous spatial fractal pattern formation in absorptive systems. Journal of Nonlinear Optical Physics and Materials, 21(2), 1-9. https://doi.org/10.1142/S021886351250018X

• Journal Article Type: Article
• Publication Date: Jan 1, 2012
• Deposit Date: Oct 5, 2012
• Publicly Available Date: Oct 5, 2012
• Journal: Journal of Nonlinear Optical Physics and Materials
• Print ISSN: 0218-8635
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 21
• Issue: 2
• Pages: 1-9
• DOI: https://doi.org/10.1142/S021886351250018X
• Publisher URL: http://dx.doi.org/10.1142/S021886351250018X