| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Negative Index Refraction in the Complex Ginzburg–Landau Equation in Connection with the Experimental CIMA Reaction |
| YUAN Xu-Jin** |
| Electromagnetic Scattering Key laboratory, Beijing Institute of Environmental Characteristics, Beijing 100854 |
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| Cite this article: |
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YUAN Xu-Jin 2012 Chin. Phys. Lett. 29 094705 |
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Abstract 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 chlorite-iodide-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.
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Received: 11 June 2012
Published: 01 October 2012
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| PACS: |
47.54.-r
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(Pattern selection; pattern formation)
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82.40.Ck
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(Pattern formation in reactions with diffusion, flow and heat transfer)
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89.75.Kd
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(Patterns)
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