Open AccessRefraction of reaction-diffusion plane wave for different diffusion coefficients
Author(s) -
Lyu Yao-Ping,
Gu Guo-Feng,
Lu Hua-Chun,
Dai Yu,
Tang Guo-Ning
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.2996
Subject(s) - refraction , diffusion , snell's law , refractive index , plane (geometry) , physics , plane wave , photon diffusion , optics , geometry , mathematics , quantum mechanics , light source
The effect of diffusion on the refraction of plane wave in two-dimensional reaction-diffusion system described by complex Ginzburg-Landau equation are numerically investigated. We derive the refractive index of plane wave from Snell's law. The numerical and theoretic results show that the refraction of plane wave in a simple purely diffusive system obeys Snell's law, i.e, diffusion only impacts the refractive index of plane wave. However, the refraction of plane wave in reaction-diffusion system obeys Snell's law only for proper diffusion coefficients and system parameters. These results show that diffusion impacts the refraction law and refractive index.