Adaptive frequency sampling for solution of transient problems in frequency domain

Proceedings of the 9th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2004. DIPED 2004. Pub Date : 2004-12-27 DOI:10.1109/DIPED.2004.242456

A. Gheonjian, R. Jobava, A. Radchenko, I. Ishmuhametov, R. Kvaratskhelia

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引用次数: 1

Abstract

There are two ways of treating transient radiation and scattering problems for structures of arbitrary shape: solution of time-dependant Maxwell equations directly in the time domain; solution of these equations in the frequency domain with consequent application of the Fourier transformation to reconstruct the time-dependant signal. Comparative advantages and disadvantages of both approaches are well described in the literature (Poggio, A.J. and Miller, E.K., 1973). The paper aims to increase the effectiveness of the multifrequency approach by performing adaptive frequency sampling (AFS) for spectrum calculation of the electromagnetic system under consideration. The paper demonstrates that the solution of transient problems in the frequency domain with consequent application of FFT becomes very effective if frequency sampling is performed using the AFS technique. Implementation details of the AFS algorithm and examples demonstrating the advantages of applying AFS are also presented.

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频域瞬态问题的自适应频率采样

处理任意形状结构的瞬态辐射和散射问题有两种方法:直接在时域内求解随时间变化的麦克斯韦方程组;这些方程在频域的解，随后应用傅里叶变换来重建时变信号。两种方法的比较优势和劣势在文献中都有很好的描述(Poggio, A.J.和Miller, e.k.， 1973)。本文旨在通过对所考虑的电磁系统的频谱计算进行自适应频率采样(AFS)来提高多频方法的有效性。本文证明，如果采用AFS技术进行频率采样，那么在频域内应用FFT求解瞬态问题是非常有效的。给出了AFS算法的实现细节，并举例说明了应用AFS的优点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proceedings of the 9th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2004. DIPED 2004.

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