基于传递函数的频率选择表面集总参数研究*

摘要

等效电路法是分析主动FSS的主要方法，获得FSS集总参数是等效电路法分析问题的关键。本文在传统等效电路法基础上，根据传输线理论构造传递函数。依据等效阻抗与传输峰值之间的关系，建立由集总参数构成的矩阵方程，利用最小二乘法拟合得到等效集总参数，并借助传递函数快速得到FSS频响特性曲线。与全波分析法对比，传递函数法的计算结果与数值计算结果吻合，从而验证该方法的准确性和可靠性。该方法不仅能够获取FSS结构集总参数，还能够计算FSS结构的频响特性曲线，为基于等效电路法分析主动FSS提供理论参考。%Equivalent circuit method is a principal one to analyze the active frequency selective surface (FSS). Extracting its lumped parameters is the key to the equivalent circuit method. We have constructed the transfer function based on the traditional equivalent circuit method and the transmission line theory. A matrix equation composed of lumped parameters is set up utilizing the relationship between the equivalent impedance and transmission peak. The equivalent lumped parameters are solved by the least square method, and the FSS frequency response curves are obtained from the transfer function. Compared with the full wave analysis method, the calculated results are in good agreement with that of simulation. Such results verify the accuracy and reliability of the method presented in this paper, and provide a theoretical reference to active FSS analysis using the equivalent circuit method.