基于Hermite外推的多柱体时频域电磁散射计算

CALCULATION OF ELECTROMAGNETIC SCATTERING OFMULTI-CYLINDERS IN TIME AND FREQUENCY DOMAINSBASED ON HERMITE EXTRAPOLATION

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。

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.