Negative refraction in nonlinear wave systems

Abstract

People have been familiar with the phenomenon of wave refraction for several centuries. Recently, a novel type of refraction, i.e., negative refraction, where both incident and refractory lines locate on the same side of the normal line, has been predicted and realized in the context of linear optics in the presence of both right-and left-handed materials. In this work, we reveal, by theoretical prediction and numerical verification, negative refraction in nonlinear oscillatory systems. We

Evidence of Negative-Index Refraction in Nonlinear Chemical Waves

“…Cao etc. [9] found negative index refraction at the wave-antiwave interface using CGLE and Brusselator models in RD systems. They scanned the forcing frequency to identify suitable physical conditions for negative index of refraction to occur.…”

“…Numerous theoretical and numerical studies have been carried out to investigate this antiwave behaviors [6][7][8]. Among them, the refractive index of these nonlinear waves on the wave-antiwave interface is a major focus [8][9][10]. In a linear counterpart system such as electromagnetic waves, artificial meta-materials can be designed to have a negative value of the refractive index at the interface.…”

“…Presently, negative index refraction in chemical waves has been predicted in numerical simulations [8][9][10]. Cao etc.…”

Inwardly rotating spirals in nonuniform excitable media

“…Subsequently, inwardly propagating waves were discovered in other systems, such as the chlorite-iodide-malonic acid (CIMA) reaction [3,4], the oscillatory CO oxidation on Pt (110) [5], an artificial tissue of oscillatory cells [6], and glycolysis [7]. Numerous theoretical and numerical studies have also been carried out to investigate the behaviors of these inwardly propagating waves [8][9][10][11][12][13][14][15][16][17].…”

Circular-interface selected wave patterns in the complex Ginzburg-Landau equation

“…Currently, considerable attention has been paid to a particular kind of nonuniform system that is in the presence of an interface [13][14][15][16]. For instance, it has been reported that negative refraction could occur if chemical waves propagated across the interface in nonlinear oscillatory systems [14]. What is more, the authors in ref.…”