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.
Original languageEnglish
Pages (from-to)95-112
Number of pages17
JournalJournal of Mathematical Chemistry
Volume45
Issue number1
DOIs
Publication statusPublished - Jan 2009

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Keywords

  • Photonics
  • Chemistry
  • Turing patterns
  • Control
  • Phase fronts
  • Localized states
  • Spots

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