Transient Scattering from Arbitrarily Shaped Two-dimensional Objects Located on a Rough Surface

An electric field time-domain integral equation (TDIE) for arbitrarily two-dimensional bodies located on a time-evolving rough surface is presented. The explicit solution technique of the TDIE is considered, and the time responses of the current distributions and the far-zone field are investigated in detail, meanwhile, the method of moment associated with the inverse discrete Fourier transformation (MoM-IDFT) scheme is also introduced to depict the accuracy of the presented technique for the transient scattering by arbitrarily objects integrated with a rough surface. DOI: 10.2529/PIERS061007020935 Time-domain integral equation (TDIE) techniques possess a number of advantages when used to analyze wideband or nonlinear or time-varying electromagnetic scattering and radiation phenomena [1, 2, 4–6]. During the past decade, many different TDIE approaches have been proposed to model transient scattering by conducting or dielectric bodies, but only few scheme is presented to solve problems of electromagnetic scattering by an object located on a rough surface. Actually, most of previous studies on such a complicated scattering problem have considered the scattering from a target on a single rough surface realization as a function of the aspect angle in term with Monte Carlo methods, or have considered the scattering from target over a rough surface use a four-path model based on the coherent reflection coefficient of the rough surface [3]. It is hard, however, to handle the time-dependence of the scattering by an object located on a realistic time-evolving rough surface (such as a sea surface) in those models. In this paper, the numerical models of transient scattering from one-dimensional (1-D) rough surface and the surface with arbitrarily two-dimensional (2-D) PEC bodies are analyzed. A novel explicit algorithm for the calculations of transient far-fields using TDIE is presented and the numerical results are also compared with MoM-IDFT, to prove the better effectiveness and accuracy of this technique for transient scattering from complex rough surfaces associated with the targets. n x 1 n x k th segment