Time Domain Integral Equation Method To Analyze Transient Scattering And Radiation Problems Of The Conductor

The time domain integral equation (TDIE) method is one of the important methods in electromagnetic numerical simulations for several advantages over conventional method in frequency domain. In this thesis, the TDIE methodology has been studied and disused systematically.A time domain surface integral equation based on the electric field formulation is utilized to calculation the transient scattering and radiation form arbitrary conducting structures in the thesis. The Gaussian plane wave or time-dependent Gaussian source voltage is used as an incident field or impressed generator to calculate impulse response. Firstly, the solution of the time domain electric flied integral equation (TD-EFIE) is based on the method of moments (MoM) and using the marching-on-in-time (MOT) technique, in which both explicit solution scheme and implicit solution scheme are used, to calculate the scattering form arbitrary shaped conducting structure. However, the time step in MOT is limited by the Courant condition to avoid the late-time oscillation. Secondly, by the marching-on-in-order (MOO) algorithm with Laguerre polynomials, time domain electric field integral equation can be solved without the time variables. Consequently this method, which can overcome the late-time instabilities in the MOT algorithm, is proposed to analysis the transient scattering from arbitrary shaped conducting structure to obtain the accurate and stable results. In addition, an improvement for the MOO methodology, using the central finite difference, is also presented in this thesis. Furthermore, considering the unconditional stable ability of the MOO method, TD-EFIE with MOO scheme is also used to calculate the transient radiation of some conducting antennas.Detailed mathematical steps are included, and several representative numerical results are presented and compared in the thesis.