Transient electromagnetic analysis of thin wire antennas enclosed in rectangular cavity using TD-EFIE with Laguerre functions as temporal basis

In this paper, we develop a general system of coupled Time Domain Electric Field Integral Equations (TD-EFIE) to predict the transient responses of wire antennas enclosed in a rectangular cavity. Moreover, the coupling between wires is analyzed based on this system. The cavity and the wires are excited by transient electromagnetic wave through a slot mounted in the cavity wall. We apply the Galerkin's method to solve the obtained system in space and time domains. In order to get stable and accurate solutions, the temporal basis functions derived from Laguerre polynomials is used to approximate the temporal part of the unknown coefficients: electric currents at the surfaces of the wires and magnetic current at the slot. Simulation results which prove the efficacy of our developed formulation are presented.