基于特征基函数的球面共形微带天线阵列分析∗

摘要

Spherical conformal microstrip antenna array which is used widely in the field of aeronautics is analyzed by the full wave analysis in this paper. Using the surface integral equation with spherical dyadic Green’s function can decrease the number of unknowns remarkably, and also reduce the demand of memory as compared with the method using volume-surface integral equation. The curvilinear triangle is proposed to mesh the surface of the microstrip antenna array, which can simulate the characteristic of spherical surface accurately. Firstly, the problem about probe feed model is solved successfully by introducing the half Rao-Wilton-Glisson function and boundary charge, and the image method is used to treat the line integral singularity problem. Then, the characteristic basis function method is employed to further save memory and computation time further by reducing the rank of impedance matrix. Finally, the input impedance and far-field spherical conformal microstrip antenna array of different sizes are analyzed. Results are in good agreement with those in the literature and simulation software, and thus the validity and effectiveness of the analysis method are demonstrated.%采用全波分析法对球面共形微带天线阵列进行了分析。 相比体-面积分方程， 采用球并矢格林函数的面积分方程法可以大幅减少未知量的数目， 进而缓解计算机内存压力。 微带天线阵列表面采用曲面三角形剖分，可较精确地模拟球面特性。 首先， 引入边界电荷以及半Rao-Wilton-Glisson 基函数， 成功实现了探针馈电， 并采用镜像法解决了馈电边处线积分奇异问题。 然后， 采用特征基函数法降低了阻抗矩阵的阶数， 并采取有效措施进一步节省内存和计算时间。 最后， 分析计算了不同尺寸的球面共形微带天线阵列的输入阻抗及远区场特性。 与文献和仿真软件结果进行比较， 证明了所提出的处理方法的正确性和有效性。