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In this article, a new numerical approach to calculate the retarded-time scalar and vector potentials is proposed that resulted from the impulsive basis on curvilinear quadrilateral patches. This approach employs a numerical method to get the arc segment, which is the intersection of the curvilinear quadrilateral patch and the sphere centered at the observation point. The radius of sphere varies with the time. Then the retarded-time potentials are obtained by the volume integral on those curves. The validity of this method is verified by comparing results from the proposed method with those obtained through inverse Fourier transform of frequency-domain results. [ABSTRACT FROM PUBLISHER]

The higher-order maximal orthogonal vector basis functions are used to get a target's sampling information in interpolation/extrapolation of electromagnetic responses in the time and frequency domains. With the method, the computational complexity of sampling would decrease sharply without loss of accuracy. As a result, the proposed method solved the problem of high computational complexity and great resource consuming of a traditional sampling method. Some numerical results are given to verify the high efficiency and accuracy of this method. [ABSTRACT FROM AUTHOR]

The higher-order hierarchical vector basis functions can be used to reduce the number of unknowns significantly. They can be easily applied in electromagnetic and geometrical modeling due to the fact that they are defined on the quadrilateral patches and do not need the conform patches. In this article, the higher-order hierarchical vector basis functions were used to compute the time-domain scattering of perfect electric conductor objects. Specifically, the basis functions are implemented to solve the time-domain integral equation with the Galerkin method and the point matching for spatial and time-domain discretization, respectively. Moreover, the implicit matching on-in time method is used in this article. Simulation results are presented to demonstrate the high accuracy, efficiency, and stability of the proposed method. [ABSTRACT FROM AUTHOR]