We examine the photonic band structure of two-dimensional (2D) arrays
of dielectric holes using the coherent microwave transient spectroscop
y (COMITS) technique. Such 2D hole arrays are constructed by embedding
low-index rods (air) in a dielectric background of higher-index Styca
st material (n=3.60). The dispersion relation for electromagnetic wave
propagation in these photonic crystals is directly determined using t
he phase sensitivity of COMITS. We find that both the square and trian
gular lattice structures exhibit photonic band gaps that are common to
both polarizations for all wave-vectors along major symmetry axes. In
addition, the connectivity of the high-index dielectric and the openi
ng of a large gap for propagation with E field perpendicular to the ho
le cylinders are found to be important criteria for generating a large
absolute photonic band gap.