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Formation and control of Turing patterns and phase fronts in photonics and chemistry

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Abstract

We review the main mechanisms for the formation of regular spatial structures (Turing patterns) and phase fronts in photonics and chemistry driven by either diffraction or diffusion. We first demonstrate that the so-called ‘off-resonance’ mechanism leading to regular patterns in photonics is a Turing instability. We then show that negative feedback techniques for the control of photonic patterns based on Fourier transforms can be extended and applied to chemical experiments. The dynamics of phase fronts leading to locked lines and spots are also presented to outline analogies and differences in the study of complex systems in these two scientific disciplines.

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  1. SUPA and Department of Physics, Institute of Complex Systems at Strathclyde, University of Strathclyde, 107 Rottenrow, Glasgow, G4 ONG, UK

    Gian-Luca Oppo

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Oppo, GL. Formation and control of Turing patterns and phase fronts in photonics and chemistry. J Math Chem 45, 95–112 (2009). https://doi.org/10.1007/s10910-008-9370-y

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