渐近波形估计技术加速的频域有限差分法
A FAST 3D-FDFD METHOD IN CONJUCTION WITH ASYMPTOTIC WAVEFORM EVALUATION TECHNIQUE
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摘要: 本文提出了一种基于三维频域有限差分法(3D-FDFD)和渐近波形估计技术(AWE)计算三维微波结构S参数的快速算法。在分析中,将输入和输出端口的电场分别展开成某抽样频率点处的泰勒级数,通过Pad逼近及奇异值分解技术求出电场与频率的有理函数解析表达式,从而获得频带内的S参数。数值计算结果与已有结果吻台良好,并且与传统FDFD法相比,计算效率提高很多。Abstract: A fast generalized algorithm for S parameter extraction of 3-D microwave structures is presented based on the 3-D FDFD (Frequency Domain Finite Difference) method in conjunction with the asymptotic waveform evaluation (AWE) technique.In the AWE technique,the electric field strength at the input and output ports are respectively expanded in a Taylors series around a frequency within the desired frequency band,and the coefficients of the Taylors series are matched via the Pad approximation to a rational function and the robust Singular Value Decomposition (SVD) technique is employed while solving the Pad equation.Using the rational function,the electric field strengths at the input and output are obtained at any frequency within the desired frequency band,which is used to calculated the S parameter.A good agreement between the numerical results and the reported data is observed.Compared with the traditional FDFD,the computational efficiency of the present method is considerably improved.
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