Electromagnetic eigenstates of finite cylinders and their possible exploitation for calculating the macroscopic response of an array of such cylinders

摘要

Electromagnetic eigenstates are used to try and develop a systematic approach for computing the macroscopic electric and magnetic response of a two-constituent composite medium where neither constituent exhibits any intrinsic magnetic response, i.e., the magnetic permeability equals 1 everywhere. Results for two-dimensional arrays of equally long circular cylinders appear promising as far as computational power is concerned. Proximity of the physical parameters of the system to a resonance of the composite microstructure increases the chances of getting negative values for both the electric permittivity and the magnetic permeability.