Theoretical study of dipole antennas on photonic band-gap materials

We study the reflection and transmission properties of two-dimensional (2D) photonic band-gap (PBG) materials with the use of the transfer matrix method. Then, by combining this method with the reciprocity theorem, we calculate the radiation patterns of antennas placed on top of 2D PBG materials. The results are in good agreement with recent theoretical and experimental results in similar systems. We also compare the present method of calculating the radiation patterns with a recently proposed method where the PBG crystal is replaced with an equivalent reflection plane. We show that the present method has several advantages; for example, it can be used even for cases where the driven frequency of the antenna is not inside the PBG.