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This paper presents a novel approach to accurately simulate the low frequency electromagnetic scattering of a homogeneous dielectric object in layered medium. The N-Muller surface integral equation (SIE) is utilized for accurate electromagnetic modeling at low frequency with a properly designed coefficient to cancel frequency singularity. Matrix-friendly layered medium Green's functions are adopted and integrated into SIE to account for the effects of the inhomogeneous background. By using Galerkin method and rooftop basis functions, a well-conditioned impedance matrix is obtained and a rapidly converging iterative solution is achieved for low frequencies. Numerical results are provided to validate the proposed method and investigate its properties. [ABSTRACT FROM AUTHOR]

A higher order approach for the accurate simulation of a thin dielectric sheet is proposed in this paper. Due to the small thickness of thin dielectric sheet, an equivalent surface integral equation containing tangential and normal fields can be derived from the conventional volume integral equation. Higher order bases are then applied to approximate both components. Although the programming complexity increases slightly compared with the traditional low-order thin dielectric sheet surface integral equation method, the number of unknowns required in the same problem can be drastically reduced in the proposed higher order approach. At the same time, a higher accuracy can be achieved. Numerical results are presented to show the high efficiency and stability of the proposed method. [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]