基于FFT技术微波集成电路及阵列天线快速电磁仿真

FFT-based Fast Electromagnetic Simulation of Microstrip Circuits and Antenna Arrays

该文开展了混合位积分方程(MPIE)的空域矩量法(MoM)对单片微波集成电路(MMIC)及阵列天线的全波分析,并采用了共轭梯度快速傅里叶变换(CGFFT)算法减少矩量法的内存需求与计算复杂度。并针对此方法必须采用等间距离散的限制,采用了基于快速傅里叶变换(FFT)技术的修正算法,包括稀疏矩阵规则网格方法(SMCG)、自适应积分方法(AIM)和预校准快速傅里叶变换方法(Precorrected-FFT)。此类方法既保留了三角基函数精确建模的能力又具备CGFFT算法高效计算的优点,实现了对复杂结构、电大尺寸的微波集成电路及阵列天线的快速电磁仿真。

The spatial-domain method of moment （MoM） combining the mixed potential integral equation （MPIE） is utilized for the full-wave electromagnetic analysis of monolithic microstrip integrated circuit （MMIC） and microstrip antenna arrays. Conjugate gradient fast Fourier transforms （CGFFT） is applied to reduce the memory storage and computational complexity, which is restricted to the uniform discretizaton. To overcome this limitation, modified FFT technology is proposed, containing sparse matrix canonical grid method （SMCG）, adaptive integral method （AIM）, precorrected-FFT method, which retains the advantages of the CG-FFT method as well as the excellent modeling capability offered by the triangular elements. The proposed method attains the fast electromagnetic simulation of the complicated and large-scale microstrip integrated circuit.