一种新的闭式空域格林函数及其在三维互连结构电容参数提取中的应用
A NEW TYPE OF CLOSED-FORM SPATIAL GREEN s FUNCTION AND ITS APPLICATION TO THE CAPACITANCE EXTRACTION OF THE 3-D INTERCONNECTS
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摘要: 该文提出了一种提取分层介质中三维静态闭式空域格林函数的通用算法,并成功地运用于三维多层多导体互连结构的电容参数提取。该算法在谱域等效传输线模型的基础上,应用Krylov子空间维数缩减技术求出谱域格林函数的有理逼近表达式,再由留数定理得到闭式空域格林函数。所得闭式空域格林函数结合矩量法可以方便地用于提取三维互连结构的电容参数。数值结果验证了方法的准确性和有效性。Abstract: A general and efficient technique is presented for deriving the closed-form spatial Green s functions of 3-D Poisson equations in multilayered media. Based on the spectral-domain equivalent transmission line model of the layered Green s function, an efficient Krylov subs pace order-reduction technique is used to get, the rational approximation of the Green s function in the spectral-domain, then the spatial-domain Green s function is acquired directly via the residual theorem. The derived Green s function c...
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Ji Zheng, Zhengfam Li, Efficient parameter computation of2-D multiconductor interconnection lines in layered media by convergence acceleration of dielectric Greerrs function via Pade approx imation,IEEE Trans. on MTT, 998, 46(10), 1339-13-43.[2]C. Wei, R. F. Harrington, J. R. Mautz, T. K. Sarkar. Mnlticonductor transmission lines in multilayered dielectric media, IEEE Trans. on MTT, 1984. 32(4), 439-449.[3]Mustafa Celik.[J].A. C. Cangellaris, Simulation of dispersive multiconductor transmission lines by Padl approximation via the Lanczos process, IEEE Trans. on CAD.1997,:-[4]T. ltoh, Spectral domain immit tance approach for dispersion characteristics of shielded inicrostrips with tuning septums, Proc. of 9th European Microwave Conf., Brighton, England.Sept. 17-21, 1979. -
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