基于等效原理和互易性定理,研究了N个相互平行二维柱体对平面波,高斯波束的电磁散射特性,给出了求解N阶散射场公式.一阶散射可通过求解单个柱体的散射场得到,但对于高阶散射场而言,由于耦合散射的复杂性,很难给出精确的解析解.为了解决这一问题,借助等效原理和互易性定理给出了求解N阶散射场的面积分公式.只要给出柱体的i-1阶散射场及相关目标表面上的等效电流和(或)等效磁流,就可应用此公式求解i阶散射场.应用该近似方法计算了相互平行非均匀等离子体涂层导体圆柱的单,双站散射宽度,讨论了束腰半径、等离子体涂层厚度、电子密度、碰撞频率及雷达频率等对散射结果的影响.
Based on the equivalence principle and the reciprocity theorem, the multiple scattering up to Nth-order by N parallel 2-D targets arbitrarily located in a plane wave/Gaussian beam is considered. The first-order solution can easily be obtained by calculating the scattered field from isolated targets. However, due to the difficulty in formulating the couple scattered field, it is almost impossible to find an exact analytical solution for the higher order scattered field. In order to overcome this difficulty, the composite scattering field is studied by employing the technique based on the reciprocity theorem and the equivalence principle and a surface integral solution up to Nth-order is obtained. To evaluate the ith order scattering field, only the i - 1th order scattered field from scatterers and the equivalent surface electric and/or magnetic current density induced by the incident wave are required. Using the approach proposed in this paper, the bi- and mono-static scattering width of the incident field by parallel adjacent inhomogeneous plasma-coated conducting cylinders is calculated and the dependence of attenuation of the scattering width on the thickness of the coated layer, the electron number density, the collision frequency and the radar frequency is discussed in detail.