变形面天线的分块Coons拟合方法

针对工程中雷达天线、卫星通讯地面站天线等的实际反射面在载荷作用下发生变形,基于变形反射面实际形状,提出了一种与传统最佳吻合抛物面法不同的新的分块拟合方法。该方法根据天线结构分析,对变形反射面进行分块划分,分别对每个块域实施Coons曲面拟合,且采用周向三角函数拟合与径向二次函数拟合确定曲面片边界条件,进而准确得到反射面变形的整体与局部信息。给出了该方法的理论公式,通过仿真实验证明了其准确性与有效性。

Divided-fitting method for distorted surface of antenna based on Coons surface

The real reflectors of various antennas used in radar and satellite communication earth stations are distorted when affected by different loads.A new divided-fitting method is proposed which is quite different from the traditional best-fit paraboloid method.Based on the actual shape of distorted reflector and according to antenna mechanical structural analysis,it determines the boundary condition of each zone by first dividing the perturbed reflector into many zones,then adopting Coons surface to fit each zone and combining the hoop trigonometric function fitting and quadratic radial function fitting methods.Then the analysis of aperture error makes it possible to compute the electrical performances of antenna.This method has the advantages over the other fitting methods of describing the true shape of distorted reflector exactly and providing the accurate deformation information for the analysis of electrical performances.The simulation results prove the validity of new method.