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    • 2. 发明申请
    • Method and Apparatus for Broadband Modeling of Current Flow in Three-Dimensional Wires of Integrated Circuits
    • 用于集成电路三维电线中电流流动宽带建模的方法和装置
    • US20110029295A1
    • 2011-02-03
    • US12936017
    • 2009-04-01
    • Vladimir OkhmatovskiMohammed A.I. Al-Qedra
    • Vladimir OkhmatovskiMohammed A.I. Al-Qedra
    • G06F17/10
    • G06F17/5036G06F17/5018H01B1/00
    • A new surface impedance model for extraction in lossy two-dimensional (2D) interconnects of rectangular cross-section is presented. The model is derived directly from the volumetric electric field integral equation (EFiE) under the approximation of the unknown volumetric current density as a product of the exponential factor describing the skin-effect and the unknown surface current density on the conductor's periphery. By proper accounting for the coupling between the boundary elements situated on the top and bottom surfaces of conductor with the elements located on the side-walls, the model maintains accuracy from DC to multi-GHz frequencies as well as for conductors with both large and small thickness/width ratios. A generalization of the full-periphery surface impedance model to the three-dimensional electric field integral equation is also described.
    • 提出了一种用于在矩形横截面的有损二维(2D)互连中提取的新的表面阻抗模型。 该模型直接来自体积电场积分方程(EFiE),其近似于未知体积电流密度,作为描述皮肤效应的指数因子与导体外围的未知表面电流密度的乘积。 通过适当考虑位于导体的顶面和底面之间的边界元件与位于侧壁上的元件之间的耦合,该模型保持从DC到多GHz频率的精度以及具有大和小的导体的精度 厚度/宽度比。 还描述了全周边表面阻抗模型对三维电场积分方程的推广。
    • 5. 发明授权
    • Method and apparatus for broadband modeling of current flow in three-dimensional wires of integrated circuits
    • 用于集成电路三维电线中电流流动宽带建模的方法和装置
    • US08731877B2
    • 2014-05-20
    • US12936017
    • 2009-04-01
    • Vladimir OkhmatovskiMohammed A. I. Al-Qedra
    • Vladimir OkhmatovskiMohammed A. I. Al-Qedra
    • G06F17/10G06F17/50H01B1/00
    • G06F17/5036G06F17/5018H01B1/00
    • A new surface impedance model for extraction in lossy two-dimensional (2D) interconnects of rectangular cross-section is presented. The model is derived directly from the volumetric electric field integral equation (EFiE) under the approximation of the unknown volumetric current density as a product of the exponential factor describing the skin-effect and the unknown surface current density on the conductor's periphery. By proper accounting for the coupling between the boundary elements situated on the top and bottom surfaces of conductor with the elements located on the side-walls, the model maintains accuracy from DC to multi-GHz frequencies as well as for conductors with both large and small thickness/width ratios. A generalization of the full-periphery surface impedance model to the three-dimensional electric field integral equation is also described.
    • 提出了一种用于在矩形横截面的有损二维(2D)互连中提取的新的表面阻抗模型。 该模型直接来自体积电场积分方程(EFiE),其近似于未知体积电流密度,作为描述皮肤效应的指数因子与导体外围的未知表面电流密度的乘积。 通过适当考虑位于导体的顶面和底面之间的边界元件与位于侧壁上的元件之间的耦合,该模型保持从DC到多GHz频率的精度以及具有大和小的导体的精度 厚度/宽度比。 还描述了全周边表面阻抗模型对三维电场积分方程的推广。