Equivalent circuit models for one-dimensional photonic bandgap (PBG) structures

This thesis explores an alternative approach for designing and analyzing one-dimensional photonic bandgap (PBG) structures and its application in microstrip transmission line filters. The one-dimensional PBG structures are spatially periodic along the axis of propagation, and they prohibit wave propagation at certain frequency ranges. In this thesis, three types of microstrip line PBG structures are studied in detail. The first PBG microstrip type studied has a substrate made of periodically contrasting dielectric layers. The second PBG microstrip type studied has circular perforations etched in the ground plane, while the dielectric substrate is homogeneous. The spacing between circles is inversely proportional to the stopband center frequency, while the circle diameters are directly proportional to the stopband bandwidth. The final PBG microstrip type studied has rectangular ground plane perforations instead of circular ones. The rectangle width is kept constant, while the length is varied to accommodate desired bandwidth. (Abstract shortened by UMI.)...