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Spontaneous spatial fractal pattern formation in dispersive systems

Huang, JG; Christian, JM; McDonald, GS

Authors

JG Huang



Abstract

We report spontaneous spatial optical fractal patterns in a ring cavity containing a thin slice of diffusive Kerr-type material. The Turing threshold instability condition is derived through linear analysis, and static patterns are found to be described by spectra with multiple-minimum characteristics. These theoretical predictions are subsequently verified through numerical simulations with both one and two transverse dimensions. Our findings support that a proposed fractal-generating criterion for nonlinear wave-based systems with thin-slice host media can have independence with respect to both system geometry and nonlinearity. We conclude by detailing further potential research directions and possible applications of fractal light sources.

Citation

Huang, J., Christian, J., & McDonald, G. (2017). Spontaneous spatial fractal pattern formation in dispersive systems. Journal of Nonlinear Optical Physics and Materials, 26(01), https://doi.org/10.1142/S0218863517500096

Journal Article Type Article
Publication Date Mar 1, 2017
Deposit Date Aug 17, 2017
Journal Journal of Nonlinear Optical Physics & Materials
Print ISSN 0218-8635
Electronic ISSN 1793-6624
Publisher World Scientific Publishing
Volume 26
Issue 01
DOI https://doi.org/10.1142/S0218863517500096
Publisher URL https://doi.org/10.1142/S0218863517500096
Related Public URLs http://www.worldscientific.com/worldscinet/jnopm