一维带限Weierstrass分形分层介质粗糙面电磁散射研究

运用微扰法研究了平面波入射分层介质粗糙面的电磁散射，推出了不同极化状态下的双站散射系数公式．采用一维带限Weierstrass分形粗糙面来模拟实际分层介质粗糙面，结合其功率谱导出了平面波入射时的双站散射系数计算公式．通过数值计算得到了HH极化下双站散射系数随散射角的变化曲线，讨论了分维、空间基频、标度区间、底层介质介电常数、中间介质介电常数和厚度、粗糙面高度起伏均方根及入射波频率对双站散射系数的影响，得到了平面波入射一维带限Weierstrass分形分层介质粗糙面散射系数的分形特征、基本特征、分区特征和随频率变化的特征．

Investigation electromagnetic scattering from the 1-D band-limited Weierstrass fractal rough surface of the layered medium

The electromagnetic scattering from the rough surface of the layered medium with plane wave incidence is investigated. The formula for the scattering coefficient for different polarizations is derived using the small perturbation method. A 1-D band-limited Weierstrass fractal rough surface is presented for describing the natural rough surface of the layered medium, and the formula of the scattering coefficient is derived in association with the power spectrum density of the 1-D band-limited Weierstrass rough surface. The angular distribution of the scattering coefficient of the HH polarization is obtained by numerical implementation, the influence of the fractal dimension, the special fundamental frequency, the scale interval, the permittivity of substrate medium, the permittivity and the mean layer thickness of intermediate medium, the root mean square of rough surface, and the frequency of the incident wave on the bistaticscattering coefficient is discussed. The fractal characteristics, the basic characteristics, the zonal characteristics and the characteristics with a varying frequency of the scattering coefficient from the 1-D band-limited Weierstrass fractal rough surface are obtained.