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In comparison with the phenomenon of negative index refraction observed in artificial meta-materials,it is interesting to ask if this type of behavior also exists or not in reaction-diffusion systems that support nonlinear chemical waves.Previous studies indicate that the negative index refraction could occur on a interface between a medium of a normal wave and a medium that supports anti-waves.Here we investigate the phenomenon in the complex Ginzburg Landau equation (CGLE) in a close relationship with the quantitative model for the chloriteiodide-malonic acid (CIMA) reaction.The amplitude equation CGLE is deduced from the CIMA reaction,and simulations with mapped parameters from the reaction-diffusion equation reveal that the competition between normal waves and anti-waves on the interface determines whether the negative index refraction occurs or not.