Fast and accurate frequency‐sweep calculations using asymptotic waveform evaluation and the combined‐field integral equation

Abstract

Abstract. The method of asymptotic waveform evaluation (AWE) is applied to the combined-field integral equation (CFIE) to achieve fast and accurate frequency-sweep calculations of electromagnetic scattering and radiation by three-dimensional conducting and dielectric objects. The employment of the CFIE eliminates the interior resonance problem suffered by both the electric-field integral equation and the magnetic-field integral equation. It is shown that the use of AWE can speed up the calculation by more than an order of magnitude. It is also shown that when combined with the complex frequency hopping technique, the AWE method can produce an accurate solution within a prespecified frequency band. Numerical examples are presented to demonstrate the performance of the proposed method.

Accurate computation of wide‐band response of electromganetic scattering problems via Maehly approximation

“…In the AWE technique, the electric current is expanded in the Taylor series around a frequency, and the rational function approach is used to improve the accuracy. As compared with using MOM at each of the frequency points, the AWE method is found to be superior in terms of the CPU time to obtain frequency response [3][4][5][6]. However, the accuracy of the Taylor series is limited by the radius of convergence, and the high derivatives of the dense impedance matrix must be storied, which will greatly increase the memory needed.…”

Application of rational function approximation technique to hybrid FE/BI/MLFMA for 3D scattering

“…This AWE has been applied to the finite element and finite difference analysis of EM problem [14][15][16]. In [17,18], AWE has also been applied to MOM for solving scattering problem. Recently, the multipoint Galerkin AWE (MGAWE) and the wellconditioned AWE (WCAWE) have been developed in [19,20].…”

Fast computation of wideband RCS using characteristic basis function method and asymptotic waveform evaluation technique

“…This can be computationally intensive and for a very large-scale matrix it can be computationally prohibitive. To alleviate the computational burden, an optional approach called the Asymptotic Waveform Evaluation (AWE) [7][8][9][10][11] technique has been proposed for predicting the RCS over a band of frequencies. Since it need the MOM matrix inversion at central frequency, the traditional AWE technique almost can hardly deal with wideband electromagnetic scattering problems from electrically large object or multi-objects.…”