应用切比雪夫逼近快速求解目标宽带雷达散射截面

Fast computation of wide-band radar cross section using Chebyshev approximation algorithm

将切比雪夫逼近理论应用于目标宽带电磁散射特性分析中,通过求解给定频带内的切比雪夫节点和节点处的目标表面电流,实现了频带内任意频率点表面电流的快速预测,从而实现目标宽带雷达散射截面的快速计算。组合场积分方程的使用消除了内谐振问题。将计算结果与传统矩量法逐点计算的结果进行了比较,结果表明在不影响精度的前提下,该方法的计算效率大大提高。

Chebyshev approximation algorithm was applied to the scattering analysis of an arbitrary shaped perfect electric conductor over a wide frequency band. The nodes of Chebyshev within a given frequency range were found firstly, and the surface electric currents at these nodes were computed by the method of moments. The surface current on perfect electric conductor is expanded in a rational function via the Chebyshev approximation, then the electric current distribution can be obtained at any frequency within the given frequency range, which is used to compute the scattered fields and the wide-band radar cross section（RCS）. The employment of combined-field integral equation （CFIE） eliminates the interior resonance problem which suffered from electric field integral equation. The numerical results presented in this paper were compared with the results obtained by the method of moments at each frequency. It was shown that the computational efficiency was improved drastically without sacrificing much accuracy.