Transient Analysis of Dispersive Power-Ground Plate Pairs With Arbitrarily Shaped Antipads by the DGTD Method With Wave Port Excitation
Transient Analysis of Dispersive Power-Ground Plate Pairs With Arbitrarily Shaped Antipads by the DGTD Method With Wave Port Excitation
复制标题
采用波端口激励的 DGTD 方法对具有任意形状反垫的色散电源-接地板对进行瞬态分析
DOI：
10.1109/temc.2016.2596978
复制
发表时间：
2017-02
影响因子：
2.1
通讯作者：
Bagci Hakan
中科院分区：
文献类型：
--
作者：
Li Ping;Jiang Li Jun;Bagci Hakan
提出了一种分析多层电源-地平行板对信号/电源完整性的间断Galerkin时域（DGTD）方法。激励是通过引入波端口上的antipad的电/磁电流源表示的antipad的本征模。由于封闭形式的解决方案不存在的任意形状的反垫的本征模式，他们必须使用数值计算方案。本征模的空间正交性允许通过在波端口上积分电场和模式的乘积来确定每个模式的时间膨胀系数。然后对时间模式系数进行傅立叶变换，以准确计算对应于不同模式的S参数。此外，为了将DGTD推广到色散介质的处理，还采用了辅助微分方程方法。这是通过引入一个随时间变化的极化体积电流作为辅助未知量和这个电流和电场之间的本构关系作为辅助方程。因此，避免了计算上昂贵的时间卷积。各种数值例子，这表明所提出的方法的适用性，鲁棒性和准确性。
A discontinuous Galerkin time-domain (DGTD) method analyzing signal/power integrity on multilayered power-ground parallel plate pairs is proposed. The excitation is realized by introducing wave ports on the antipads where electric/magnetic current sources are represented in terms of the eigenmodes of the antipads. Since closed-forms solutions do not exist for the eigenmodes of the arbitrarily shaped antipads, they have to be calculated using numerical schemes. Spatial orthogonality of the eigenmodes permits determination of each mode's temporal expansion coefficient by integrating the product of the electric field and the mode over the wave port. The temporal mode coefficients are then Fourier transformed to accurately calculate the S-parameters corresponding to different modes. Additionally, to generalize the DGTD to manipulate dispersive media, the auxiliary differential equation method is employed. This is done by introducing a time-dependent polarization volume current as an auxiliary unknown and the constitutive relation between this current and the electric field as an auxiliary equation. Consequently, computationally expensive temporal convolution is avoided. Various numerical examples, which demonstrate the applicability, robustness, and accuracy of the proposed method, are presented.
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DOI：
10.1109/tmtt.2010.2052956
发表时间：
2010-07
影响因子：
4.3
作者：
Yaojiang Zhang;Jun Fan
通讯作者：
Yaojiang Zhang;Jun Fan
影响因子：
4.3
作者：
R. Abhari;G. Eleftheriades;E. V. Deventer-Perkins
通讯作者：
R. Abhari;G. Eleftheriades;E. V. Deventer-Perkins
DOI：
10.1109/tmtt.2010.2083870
发表时间：
2010-10
影响因子：
4.3
作者：
Yaojiang Zhang;Gang Feng;Jun Fan
通讯作者：
Yaojiang Zhang;Gang Feng;Jun Fan
DOI：
10.1109/tmtt.2003.808616
发表时间：
2003-04
影响因子：
4.3
作者：
Houfei Chen;Qin Li;L. Tsang;Chung-Chi Huang;V. Jandhyala
通讯作者：
Houfei Chen;Qin Li;L. Tsang;Chung-Chi Huang;V. Jandhyala
影响因子：
5.7
作者：
S. Gedney;John C. Young;T. Kramer;J. Roden
通讯作者：
S. Gedney;John C. Young;T. Kramer;J. Roden