Spontaneous spatial fractal pattern formation in absorptive systems
نویسنده
چکیده
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. PACS numbers: 42.65.–k, 42.65.Jx, 42.65.Ky, 42.65.Pc, 42.65.Sf.
منابع مشابه
The absorptive ring cavity: dynamics & patterns beyond the mean-field limit
An optical ring cavity filled with an absorptive material is a fundamental spontaneous pattern-forming system [1]. Analyses of Turing bifurcations in these (uni-directional) cavity configurations [see Fig. 1(a)] can be simplified by deploying the thin-slice limit, wherein the host nonlinear medium (typically of the Maxwell-Bloch type) has a near-negligible thickness [2]. Our most recent researc...
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