On the low-frequency spatial dispersion in wire media

In the present paper we have generalized a recently developed analytical theory of a simple wire media (WM) to the case of double wire media and obtained some results for triple WM. We have proved that the effective permittivity of 2D and 3D WM fits our dispersion equations fairly well. We have theoretically revealed the effects of low-frequency spatial dispersion for 2D WM. The materials under consideration could find various applications due to the properties discussed in this paper. We would like to note especially such applications as the creation of low frequency super-prisms and the design of materials with negative refraction.