Analysis of microwave propagation in arrays of dielectric cylinders

We rigorously compute the propagation and scattering of microwaves by regular and defected arrays of dielectric cylinders in a uniform medium. Comparison with the previous experimental results is made, yielding agreements in the transmission coefficients for a certain range of frequencies. The results also show that localized states are possible for defected arrays. However, the experimentally claimed localized states are not observed. Moreover, comparison is made with previous theoretical results. The agreements and differences are pointed out.