From Turing instability to fractals
Jungang Huang,JM Christian,Graham S. McDonald,Pedro Chamorro-Posada,J. Jahanpanah +4 more
- 02 Sep 2007
TL;DR: In this article, the authors confirm the proposal of a generic fractal pattern formation criterion, reporting the first predictions (analyses and simulations) of spatial optical fractal formation in the two new contexts of ring cavities and purely-absorptive nonlinear systems.
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Abstract: We confirm the proposal of a generic fractal pattern formation criterion, reporting the first predictions (analyses and simulations) of spatial optical fractal formation in the two new contexts of ring cavities and purely-absorptive nonlinear systems.
read more
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Figures
Fig. 2. Typical power spectrum evolution in time: (a) t = tR, (b) t =25tR, (c) t =100tR, (d) t =2500tR (τ = 0, lD = 0.4 and a = 2). 
Fig. 1. (a) Schematic diagram of a ring cavity with a thin slice of nonlinear medium and a spatial filter F(K2,KC2). Typical Turing instability threshold curves for (b) diffusive-relaxing Kerr, and (b) Maxwell-Bloch saturable absorber cavities. 
Fig. 3. Transverse intensity distribution showing the transition from a conventional (single-K) pattern – a hexagonal array – to a fractal mode in a thin-slice Maxwell-Bloch ring cavity. Self-similarity persists down to spatial scales of the order of the optical wavelength.
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