Rc. Mcphedran et al., LOW-FREQUENCY CORRECTIONS TO THE STATIC EFFECTIVE DIELECTRIC-CONSTANTOF A 2-DIMENSIONAL COMPOSITE-MATERIAL, Proceedings - Royal Society. Mathematical, physical and engineering sciences, 452(1953), 1996, pp. 2231-2245
We derive the first dynamic correction to the effective refractive ind
ex for a square array of cylinders (of finite or infinite refractive i
ndex), subject to a lo iv frequency incident radiation. This correctio
n also imposes constraints on the wavenumber region for which the Lore
ntz-Lorenz formula in two dimensions is accurate.