基于Hemite外推的多柱体时频域电磁散射计算
Calculation of electromagnetic scattering of multi-cylinders in time and frequency domains based on hermite extrapolation
-
摘要: 首先根据散射体在高斯脉冲平面波激励下感应电流的能量几乎全部集中在时间轴和频率轴上的有限范围内,该文将时域响应展开为系数待定的连带Hermite级数的叠加,并根据连带Hermite函数的傅里叶变换的自反性,得到与时域响应形式类似的频域响应;然后利用时域方法和频域方法分别计算散射体上感应电流的早时响应和低频信息;最后经过时域和频域联合外推计算,由早时响应和低频信息确定时域和频域响应的待定系数,从而获得了整个时域和频域的完全响应。该文用这种外推方法分析计算了多导体柱的电磁散射。Abstract: The time-domain response of the induced currents on a scattering object irradiated by a plane wave with a Gaussian pulse in time is expanded as an associate Hermite series in this paper. Using the isomorphism of the associate Hermite function and its Fourier transform, the frequency-domain information can be obtained similarly to the time-domain expansion. According to the corresponding relation between time-domain analysis and frequency-domain analysis, and using the early-time response and the low-frequency information of the induced currents, the non-known coefficients in the expansion series can be decided. The entire responses of the induced currents on the scattering object in both time and frequency domains can be obtained at one time by simultaneous extrapolation computation using both the early-time response and the low-frequency information of the induced currents. Electromagnetic scattering of multi-cylinders are calculated and analyzed based on this extrapolation methodology in this paper.
-
R.F.Harrington著,计算电磁场的矩量法,王尔杰等译,北京,国防工业出版社,1981,49-72.[2]C.J. Reddy, M. D. Deshpande, et al., Fast RCS computation over a frequency band using methodof moments in conjunction with asymptotic waveform evaluation technique, IEEE Trans. on AP,1998, 46(8), 1229-1233.[3]C.M. Tong, J. Liang, W. Hong, A fast frequency sweeping method for RCS computation basedon AWE technique, 2000 China-Japan Joint Meeting on Microwaves, Nanjing, China. 234-237.[4]S.M. Rao, Time Domain Electromagnetics, San Diego, USA, Academic Press, 1999, 131-150.[5]彭仲秋,瞬变电磁场,北京,高等教育出版社,1989,1-11.[6]R.S. Adve, T. K. Sarkar, Q. M. Pereira-Filho, S. M. Rao, Extrapolation of time-domain responsesfrom three dimensional conducting objects utilizing the matrix pencil techniques, IEEE Trans.on AP, 1997, 45(1), 147-156.[7]R.S. Adve, T. K. Sarkar, Simultaneous time- and frequency-domain extrapolation, IEEE Trans.on AP, 1998, 46(4), 484-493.[8]M.M. Rao, T. K. Sarkar, T. Anjali, R. S. Adve, Simultaneous extrapolation in time and frequencydomains using Hermite expansion, IEEE Trans. on AP, 1999, 47(6), 1108-1115.[9]H.J.Weaver著,离散和连续傅里叶分析理论,王中德,张辉译,北京,北京邮电学院出版社,1991,216-219.
计量
- 文章访问数: 2277
- HTML全文浏览量: 107
- PDF下载量: 605
- 被引次数: 0