ABSTRACT
Owing to the unprecedented expansion of digital communication devices, there is a need for fundamentally new modeling techniques that would account for their pulsed (bit-like) mode of operation with accompanying space-time ElectroMagnetic (EM) interference phenomena. This chapter introduces TD compensation theorems concerning planar circuits and provides efficient means for such Time-Domain (TD) EM modeling. More specifically, the Lorentz reciprocity theorem of the time-convolution type is applied to describe the impact of an inclusion on the pulsed EM-field response of a planar circuit. As such, the introduced compensation theorems provide a convenient starting point for TD analysis of inclusions in planar structures, such as the photonic crystal power /ground layer or substrate-integrated waveguides. The TD compensation theorems for conductive and dielectric inclusions in planar circuits are constructed. It is assumed that within the circuit there is an inclusion of bounded volume with dielectric and/or conductive properties whose EM constitutive properties differ from its surrounding.
