漸近波形估計技術(shù)加速的頻域有限差分法
A FAST 3D-FDFD METHOD IN CONJUCTION WITH ASYMPTOTIC WAVEFORM EVALUATION TECHNIQUE
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摘要: 本文提出了一種基于三維頻域有限差分法(3D-FDFD)和漸近波形估計技術(shù)(AWE)計算三維微波結(jié)構(gòu)S參數(shù)的快速算法。在分析中,將輸入和輸出端口的電場分別展開成某抽樣頻率點處的泰勒級數(shù),通過Pad逼近及奇異值分解技術(shù)求出電場與頻率的有理函數(shù)解析表達式,從而獲得頻帶內(nèi)的S參數(shù)。數(shù)值計算結(jié)果與已有結(jié)果吻臺良好,并且與傳統(tǒng)FDFD法相比,計算效率提高很多。
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關(guān)鍵詞:
- 頻域有限差分法; 漸近波形估計; 波導不連續(xù)性; 散射參數(shù)
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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