PHOTONIC BAND-GAPS AND DEFECTS IN 2 DIMENSIONS - STUDIES OF THE TRANSMISSION COEFFICIENT

Using the transfer-matrix technique for the propagation of electromagn etic waves in dielectric structures, we calculate the transmission coe fficient versus the frequency of the incident wave for different polar izations in two-dimensional periodic and/or random arrangements of die lectric cylinders. This technique has been applied to cases where the plane-wave method fails or becomes too time consuming, such as when th e dielectric constant is frequency dependent or has a nonzero imaginar y part, and when defects are present in an otherwise periodic system. For all the cases studied, the results compared well with experiment.