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In this paper, the fast multipole method (FMM) combined with higher-order basis function method based on the best uniform approximation theory is applied to solve scattering problems of perfectly electrical conduct (PEC). To expand the current by using an appropriate best uniform approximation high-order basis function, then solve the electrical field integral equation (EFIE) using the FMM. It shows...
The method of moments (MOM) is used in conjugation with the compressive sensing (CS) to efficiently analyze the electromagnetic scattering problems over a wide incident angle. A new incident source is formed based on CS theory, in which much information from different incident angle is included. By solving the integral equations under this new incident source, one can obtain the measurements of the...
The PMCHWT equation of the double negative media (DNG) is obtained based on its constitutive relationship. And the surface currents and radar cross section (RCS) at a single frequency point is computed by Method of moments (MOM). The asymptotic waveform evaluation (AWE) technique for dispersive dielectric medium is deduced and applied to electromagnetic scattering analysis of double-negative medium...
A new high-order basis function method based on the best uniform approximation theory is proposed to the solution of combined field integral equation (CFIE) for two-dimensional perfect electric conductor. The surface current is approximated by Chebyshev series. Under lower discretization than the conventional method of moments (MOM), the new high-order method can analyze the scattering problems of...
A new adaptive algorithm based on the Maehly approximation theory is proposed to complete the scattering analysis over a broad frequency band. Firstly, the Chebyshev polynomial approximation for surface current is obtained by using method of moments at frequency points corresponding to the Chebyshev nodes. Secondly, the Chebyshev series are matched via the Maehly approximation to a rational function...
In this paper, a similar but novel method presented in [3, 4], lifting wavelet-like transform (LWLT), is applied to the FMM method to sparsify the aggregation and disaggregation matrix. By compressing the elements in those two matrices in time, the method proposed can further speed up the MVM and save much memory when the FMM is used. Numerical results for different shaped three-dimensional objects...
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