二维分形表面电磁散射特性  

Electromagnetic scattering on two-dimensional fractal rough surface

作　　者：齐超[1] 刘伟健[1] 张磊[1] 全勇[1] 

机构地区：[1]哈尔滨工业大学电气工程及自动化学院,哈尔滨150001

出　　处：《哈尔滨工业大学学报》2016年第3期15-19,共5页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金(61178066);黑龙江省自然科学基金(F201013)

摘　　要：为深入研究电磁波、光波探测信号与不规则背景表面之间的相互作用机理及物理本质,以便给雷达目标探测、不规则材料表面的探测与遥感提供必要的散射模型,对具有分形维度的二维粗糙表面采用带限Weierstrass函数进行建模,推导了基于基尔霍夫近似理论的二维粗糙面散射场,在HH极化条件下,给出了该分形面的电磁平均散射系数和平均强度系数,通过理论分析和数值计算讨论了粗糙面散射特性与谐波数、入射波波长、面分维等其他参量之间的关系.结果表明,随着分维和谐波数的增大,除镜向反射以外,散射强度的幅值及其旁瓣分量是增大的.为基于表面散射强度重构粗糙面的相关统计参数提供数据.In order to further study the interaction mechanism and the physical nature between detection signal from electromagnetic waves and light waves and the background of irregular surface,which provided scattered model for the detection of radar target and the remote sensing of irregular surface. Two-dimensional band-limited Weierstrass function is used to simulate two-dimensional fractal rough surface. Two-dimensional rough surface scattering field is deduced based on the Kirchhoff approximation. The electromagnetic scattering coefficient and the average intensity coefficient of the rough surface is obtained under the HH polarization. The relationship between scattering characteristics and the harmonic number,the incident wavelength and dimension of fractal surface is discussed through theoretical analysis and numerical calculation. The results show that with the harmonic number and fractal dimension increases,apart from the mirror reflection point,the scattering intensity of the amplitude and its highfrequency component is increased. It provided scattering data for refactoring related statistical parameters of rough surface according to the scattering intensity.

关 键 词：分形表面 电磁散射 散射系数 平均强度 强度系数 

分 类 号：O436.2[机械工程—光学工程]