Hermite展开应用于多导线散射的时、频域联合外推

利用导线上感应电流的早时响应和低频信息 ,经过时域和频域联合外推计算 ,获得了整个时域和频域的完全响应 .基本方法是 :根据连带 Hermite函数的傅里叶变换的自反性 ,以及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有限范围内的特性 ,将时、频域响应均展开为连带 Herm ite级数的叠加 ,待定系数由早时响应和低频响应联合确定 .采用这种外推方法分析计算了多导线的电磁散射

Simultaneous Extrapolation of Electromagnetic Scattering of Multi-wires in Time and Frequency Domains Based on Hermite Expansion

The entirety responses of the induced currents on the wires in both time and frequency domains can be obtained at the same time by simultaneous extrapolation computation using both the early time response and the low frequency information of the induced currents. 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. Using the isomorphism of the associate Hermite function and its Fourier transform, the frequency domain information can also be obtained. 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 determined. Electromagnetic scattering of multi wires are calculated and analyzed based on this extrapolation method recommended in this paper.