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Spontaneous spatial fractal pattern formation in absorptive systems

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

Authors

J G Huang



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

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