Time-Domain Transfer Coupled Response of Antennas-Reciprocity Theorem Approach

A complete time-domain network representation of a transmit-receive two-port perfect electric conducting antenna system in an arbitrary distance is presented. We utilize a scattering matrix setting, which, as the impedance matrix formulation, is a proper setting for the time-domain formulation in antenna system representations. The formulation is derived directly in the time domain using both the convolution-type and the correlation-type reciprocity relations. We derive the general expressions for the matrix, in particular the transfer coupled coefficients between the antennas (transfer coupled response), followed by closed-form example of parallel staggered dipole antennas that provides a clear and transparent physical interpretation for the time-domain phenomenology.