We have investigated the electromagnetic properties of a 3D wire mesh
in a geometry resembling covalently bonded diamond. The frequency and
wave vector dispersion show forbidden bands at those frequencies nu(0)
, corresponding to the lattice spacing, just as dielectric photonic cr
ystals do. But they have a new forbidden band which commences at zero
frequency and extends, in our geometry, to similar to 1/2 nu(0) acting
as a type of plasma cutoff frequency. Wire mesh photonic crystals app
ear to support a longitudinal plane wave, as well as two transverse pl
ane waves. We identify an important new regime for microwave photonic
crystals, an effective medium limit, in which electromagnetic waves pe
netrate deeply into the wire mesh through the aid of an impurity band.