Effective-medium properties of metamaterials: a quasimode theory.
Under the generalized coherent-potential approximation, we established a "quasimode" theory to study the effective-medium properties of electromagnetic metamaterials. With this theory, we calculate the self-energy, density of states (DOS), and mean-free paths for optical modes traveling inside a metamaterial, and then determine the effective permittivity and permeability of the metamaterial by maximizing the DOS function. Compared with the traditional methods for calculating effective-medium parameters, the present approach could provide quantitative judgments on how meaningful are the obtained effective-medium parameters. As illustrations, we employed the theory to study the effective-medium properties of several examples including finite metallic wires and split ring resonators.
Sun
Shulin
S
Department of Physics and Surface Physics Laboratory, Fudan University, Shanghai 200433, People's Republic of China.
Chui
S T
ST
Zhou
Lei
L