Electromagnetic response of a point-dipole crystal

We study the electromagnetic response of a cubic array of polarizable and resonant point dipoles. We show, that in addition to the formation of photonic and polaritonic bands and gaps in the dispersion of transverse waves, the array allows for bulk and surface plasmon wave propagation, as well as negative refraction in a polaritonic band, and subwavelength lensing. We suggest experimental arrangements for demonstration of these effects, both at microwave and optical frequencies.