Transient scattering of electromagnetic waves from dielectric and conducting cylinders has important applications such as wideband response from dielectric or conducting objects, target identification through short pulse radar, electromagnetic compatibility (EMC) and etc . When, for example, the scatterer is coated with ferromagnetic or chiral radar absorbing materials, its response will be nonlinear, and standard methods in the frequency domain are not applicable. Generally when the wideband response due to short band incident wave on a system is required, direct Time Domain (TD) analysis is more efficient than Frequency Domain (FD) analysis. Time domain methods are divided to two large group;Differential Equation (DE) methods and Integral Equation (IE) methods. In recent two decades, more scientists have particularly studied on Time Domain Integral Equations (TDIE) solved by Time Domain Method of Moment (TD-MoM). TDIEs are attractive because: only surface discretization is required in homogen problems,wideband frequency response is achieved in the moment, andit is simply to apply on nonlinear problems. However, these methods suffer from late-time instability and high computational complexity, which severely limits their application to practical, real-world problems. In this thesis a wise, accurate, stable and efficient scheme is proposedto solve Electric Field Integral Equation (EFIE) with the method of moment for scattering from infinite conducting cylinder illuminated by TM and TE polarized Gaussian plane wave. The two dimensional free-space Green’s function is used. This scheme considerably reduces numerical errors, enhances the extent of the stable region, and decreases the computation times by using analytical time derivatives and time convolution integrals arising in the TDIE formulation. Also the effect of choosing various temporal basis functions (TBFs) is investigated. Keywords: Time domain integral equation, stability, two dimensional free space Green’s function, transient scattering, temporal basis function, singularity,marching on in time, late time instability.
