[1]童创明,洪伟,许锋.Hermite展开应用于介质柱散射的时-频域联合外推[J].东南大学学报(自然科学版),2001,31(4):1-5.[doi:10.3969/j.issn.1001-0505.2001.04.001]
 Tong Chuangming,Hong Wei,Xu Feng.Simultaneous Extrapolation of Electromagnetic Scattering of Dielectric Cylinders in Time-Frequency Domains Based on Hermite Expansions[J].Journal of Southeast University (Natural Science Edition),2001,31(4):1-5.[doi:10.3969/j.issn.1001-0505.2001.04.001]
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Hermite展开应用于介质柱散射的时-频域联合外推()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
31
期数:
2001年第4期
页码:
1-5
栏目:
电磁场与微波技术
出版日期:
2001-07-20

文章信息/Info

Title:
Simultaneous Extrapolation of Electromagnetic Scattering of Dielectric Cylinders in Time-Frequency Domains Based on Hermite Expansions
作者:
童创明12 洪伟1 许锋1
1 东南大学毫米波国家重点实验室, 南京 210096; 2 空军工程大学导弹学院, 西安 710026
Author(s):
Tong Chuangming12 Hong Wei1 Xu Feng1
1 State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China; 2 Missile Institute of Air Force Engineering University, Xi’an 710026, China)
关键词:
时域响应 频域信息 电磁散射 外推法 Hermite多项式
Keywords:
time responses frequency responses electromagnetic scattering extrapolation Hermite polynomials
分类号:
O441;TN011
DOI:
10.3969/j.issn.1001-0505.2001.04.001
摘要:
介质柱在外加平面波照射下其体内会激励产生极化电流时域和频域响应.利用极化电流的早时响应和低频信息,经过联合外推计算,获得了时域和频域的完全响应.本文采用的基本方法是: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极化电流的时域响应的持续时间和频域信息的带宽的有限性,将时域响应和频域信息均展开为连带Hermite级数的叠加,待定系数由早时响应和低频信息联合确定,而早时响应和低频信息可分别由时间步进法(MOT)和矩量法(MOM)求得.本文用4个计算例子验证了这种外推方法.
Abstract:
The responses of the polarization currents in both time and frequency domains in the cylinder irradiated by the plane wave are produced. The entirety responses of the polarization currents 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 polarization currents. The time-domain response of the polarization 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 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 polarization currents, the unknown coefficients in the expansion series can be decided. Both the early-time response and the low-frequency information of the polarization currents can be obtained by MOT and MOM respectively. Four examples are presented to illustrate the application of this extrapolation methodology.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介:童创明,男,1964年生,博士后,副教授.
基金项目:国家杰出青年基金的资助项目(69625102).
更新日期/Last Update: 2001-07-20