在不同扩散系数下反应扩散平面波的折射

Refraction of reaction-diffusion plane wave for different diffusion coefficients

在二维复金兹堡-朗道方程描述的反应扩散振荡系统中,就扩散对平面波折射率的影响进行了数值研究,从Snell定律出发导出了折射率的解析表达式,数值和理论结果表明:在纯扩散情况下,平面波的折射满足Snell折射定律,扩散只影响着平面波折射率的大小;在同时存在反应扩散情况下,只有在适当的扩散系数和系统参数下,平面波的折射才满足Snell折射定律.这些结果表明扩散系数对折射规律和折射率都有影响.

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.