Photonic band gaps in dusty plasma crystals

A two-dimensional model for electromagnetic wave propagation in a dusty pla sma crystal is solved using plane wave expansion techniques. We show that p hotonic band gaps, where propagation is forbidden, can occur for a range of Debye length scale sizes with respect to the dust particle size. We find t hat band gap features are dependent on the plasma sheath characteristics of the dusty plasma crystal. In addition we compute the damping due to the co nductivity of the dusty plasma crystal.