Equivalent edge currents for the time-domain analysis of reflector antennas

In the present work, the frequency-domain formulation developed by Michaeli (1984, 1985, 1986) is extended to the time-domain through an analytical transformation. The associated time-domain equivalent edge currents are henceforth named TD-EECs. These currents are implemented to provide the solution of the field diffracted by the rim of a paraboloidal reflector illuminated by a double-Gaussian pulse departing from the antenna focus. In order to verify its accuracy and applicability, the TD-EEC formulation is applied for observers located at the antenna symmetry axis and in the sidelobes' region as well. All numerical results obtained from the TD-EEC are compared against those obtained from a method-of-moments (MoM) frequency analysis transformed into time domain by a discrete Fourier inversion.