Spontaneous spatial fractal pattern formation in dispersive systems

J. G. Huang*, J. M. Christian, G. S. McDonald

*Corresponding author for this work

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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.

Original languageEnglish
Article number1750009
JournalJournal of Nonlinear Optical Physics and Materials
Issue number1
Publication statusPublished - 1 Mar 2017


  • ring cavity
  • Spatial fractals
  • Turing instability


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