二维fBm分形分层介质粗糙面电磁波透射特征研究

任新成; 郭立新

doi:10.3724/SP.J.1146.2007.01574

二维fBm分形分层介质粗糙面电磁波透射特征研究

doi: 10.3724/SP.J.1146.2007.01574

任新成^{①;郭立新},
郭立新

基金项目:

国家自然科学基金(60571058)和高等学校博士学科点专项科研基金(20070701010)资助课题

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出版历程
- 收稿日期: 2007-09-27
- 修回日期: 2008-11-04
- 刊出日期: 2009-01-19

Study on Characteristics of Electromagnetic Wave Transmission from 2-D FBm Fractal Rough Surface of Layered Medium

Ren Xin-cheng^{①;郭立新},
Guo Li-xin

摘要

摘要: 该文运用微扰法研究了平面波入射分层介质粗糙面的电磁波透射问题，推导出不同极化状态的透射波散射系数公式。采用二维fBm分形粗糙面来模拟实际的分层介质粗糙面，结合其功率谱导出了平面波入射时的透射系数计算公式。通过数值计算得到了HH极化状态下二维fBm分形分层介质粗糙面透射系数随透射波的散射角变化的曲线，分形特征、基本特征、随频率变化的特征。结果表明分维、底层介质介电常数、中间介质介电常数和厚度、粗糙面参数及入射波频率对透射系数的影响是非常复杂的。
- 电磁波透射;二维fBm分形粗糙面;分层介质;微扰法;透射系数
Abstract: The electromagnetic wave transmission with plane wave incidence on the rough surface of layered medium is studied, the formulae of the transmission coefficient for different polarization is derived using the small perturbation method. A 2-D fBm fractal rough surface is presented for describing natural rough surface of layered medium, the curves of the transmission coefficient of the HH polarization with varying of the scattering angle of transmission wave are obtained by numerical implementation, the fractal characteristics, the basic characteristics, and the characteristics with varying of frequency of the incidence wave are obtained by numerical calculating. The numerical results show that the influence of the fractal dimension, the permittivity of substrate medium, the permittivity and the mean layer thickness of intermediate medium, the rms and the correlation length of the rough surface, and the incident frequency on the transmission coefficient is very complex.

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