The Time-Domain Compensation Theorem and Its Application to Pulsed EM Scattering of Multiport Receiving Antennas

The time-domain (TD) compensation theorem concerning a general N-port antenna system is derived with the aid of the reciprocity theorem of the time-convolution type. The compensation theorem describes the impact of a change in the antenna load matrix on receiving-antenna-scattering properties. As such, the obtained results can serve as the basis for tailoring the pulsed echo of loaded scatterers or for understanding the limitations of Thévenin's and Norton's antenna equivalent circuits. Illustrative numerical examples concerning both linear and nonlinear antenna loads validate the TD compensation theorem.