Effective medium theory for two-dimensional random media composed of core–shell cylinders

In this paper, based on the generalized coated coherent potential approximation method, we derive the mathematical formulae, for the extended effective medium theory, to investigate the optical properties of disordered media composed of core–shell cylinders. The effective indices of such media are obtained in the long-wavelength limit and in the Mie-scattering region. Moreover, we use this method to study optical properties of random media composed of core–shell cylinders with the core layer consisting of epsilon-less-than-one material.