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Capacitance computations in a multilayered dielectric medium using closed-form spatial Green's functions

机译:使用封闭形式的空间格林函数在多层介电介质中进行电容计算

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An efficient method for computing the 2D and 3D capacitance matrix of multiconductor interconnects in a multilayered dielectric medium is presented. The method is applicable to conductors of arbitrary polygonal shape embedded in a multilayered dielectric medium with possible ground planes on the top or bottom of the dielectric layers. The computation time required to evaluate the space-domain Green's function for the multilayered medium, which involves an infinite summation, has been greatly reduced by obtaining a closed-form, using a finite number of images in the spectral domain. The corresponding space-domain Green's functions are then obtained using the proper closed-form integrations. The elements of the moment matrix are computed using the closed-form formulation, avoiding any numerical integration. The proposed method shows good agreement when compared with other published results.
机译:提出了一种用于计算多层介电介质中多导体互连的2D和3D电容矩阵的有效方法。该方法适用于嵌入在多层电介质中的任意多边形的导体,在电介质层的顶部或底部具有可能的接地平面。通过在光谱域中使用有限数量的图像获得闭合形式,可以大大减少评估多层介质的空间域格林函数所需的计算时间,这涉及无限的求和。然后使用适当的闭式积分获得相应的空域格林函数。矩矩阵的元素是使用闭式公式计算的,避免了任何数值积分。与其他已发表的结果相比,所提出的方法显示出良好的一致性。

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