Hermite展开应用于多导线散射的时、频域联合外推

应用科学学报 ›› 2002, Vol. 20 ›› Issue (1): 51-54.

Hermite展开应用于多导线散射的时、频域联合外推

童创明^1,2, 洪伟¹, 周后型¹

1. 东南大学毫米波国家重点实验室, 江苏南京 210096;
2. 空军工程大学导弹学院, 陕西西安 713800

收稿日期:2000-12-27 修回日期:2001-03-26 出版日期:2002-03-31 发布日期:2002-03-31
作者简介:童创明(1964-),男,湖北黄冈人,副教授,博士后;洪伟(1962-),男,河北张北人,教授,博导.
基金资助:
国家杰出青年基金资助项目(69625102)

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

TONG Chuang-ming^1,2, HONG Wei¹, ZHOU Hou-xing¹

1. State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China;
2. Missile Institute, Air Force Engineering University, Xi'an 713800, China

Received:2000-12-27 Revised:2001-03-26 Online:2002-03-31 Published:2002-03-31

摘要/Abstract

摘要： 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Hermite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.

关键词: 时域响应, 电磁散射, 外推法, Hermite多项式, 频域响应

Abstract: 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.

Key words: time responses, frequency responses, electromagnetic scattering, extrapolation, Hermite polynomials

中图分类号:

O441
TN011

童创明, 洪伟, 周后型. Hermite展开应用于多导线散射的时、频域联合外推[J]. 应用科学学报, 2002, 20(1): 51-54.

TONG Chuang-ming, HONG Wei, ZHOU Hou-xing. Simultaneous Extrapolation of Electromagnetic Scattering of Multi-wires in Time and Frequency Domains Based on Hermite Expansion[J]. Journal of Applied Sciences, 2002, 20(1): 51-54.

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