印刷螺线天线的分析计算

Analysis and Calculation of Printed Spiral Antenna

本文运用全波分析法对印刷螺旋天线进行了算法分析 ,根据 Helmholtz方程在边界处满足的边界条件系统推导了单层印刷螺旋天线在自由空间和媒质中赫兹矢量位形式的并矢格林函数。在其计算中采用了离散复镜像理论 ,适当提取渐近项 ,以加快积分的收敛速度 ,并避免了数值计算中非常麻烦的极点处理问题。通过矩量法推导了阻抗矩阵和激励矩阵。并对一由绝缘材料支撑的印刷螺旋天线进行了计算 ,为工程设计提供了理论依据。

In this paper, The printed spiral antenna is analysised by full wave analysis approach. According to boundary conditions of Helmholtz equation at the interface between layers, dyadic Green's function of monolayer printed spiral antenna in freedom space and medium is derived in terms of hertz vector. The discrete complex image theory is employed in the computation with the dyadic Green's function. Properly extracting the asymptotic terms to accelerate the convergence of integral in order to avoid the troublesome acnode problem in numerical calculation. The impedance matrix and excitation matrix are derived by moment method. A printed spiral antenna supported with insulated material is calculated. The research provides theoretical basis for practical design.