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Phys. Rev. Lett. 80, 5216–5219 (1998)

Wave Optics in Reaction-Diffusion Systems

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Joaquim Sainhas and Rui Dilão
Grupo de Dinâmica Não-Linear, IST, Departamento de Física, Avenida Rovisco Pais, 1096 Lisboa Codex, Portugal

Received 24 October 1997; published in the issue dated 8 June 1998

See accompanying Physics Focus

We show that stationary wave solutions of reaction-diffusion equations obey Snell's law of refraction. Refraction occurs at the interface of media where local kinetics have different reaction rates and the same steady state. In particular, we show that the apparent reflection or back refraction observed in experiments is also derived from Snell's law.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.5216
DOI:
10.1103/PhysRevLett.80.5216
PACS:
82.20.Mj, 03.40.Kf, 42.25.Gy