On the low-frequency spatial dispersion in wire media

The work is dedicated to the theoretic analysis of wire media, i.e. lattices of perfectly conducting wires comprised of two or three doubly periodic arrays of parallel wires which are orthogonal to one another. An analytical method based on local field approach is used. The explicit dispersion equations are presented and studied. A possibility to introduce a dielectric permittivity is discussed. The theory is validated by comparison with the numerical data available in the literature.