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Full-Text Articles in Electrical and Computer Engineering
Discontinuous Galerkin Time-Domain Analysis Of Power-Ground Planes Taking Into Account Decoupling Capacitors, Ping Li, Li (Lijun) Jun Jiang, Hakan Bagci
Discontinuous Galerkin Time-Domain Analysis Of Power-Ground Planes Taking Into Account Decoupling Capacitors, Ping Li, Li (Lijun) Jun Jiang, Hakan Bagci
Electrical and Computer Engineering Faculty Research & Creative Works
In this paper, a discontinuous Galerkin time-domain (DGTD) method is developed to analyze the power-ground planes taking into account the decoupling capacitors. In the presence of decoupling capacitors, the whole physical system can be split into two subsystems: 1) the field subsystem that is governed by Maxwell's equations that will be solved by the DGTD method, and 2) the circuit subsystem including the capacitor and its parasitic inductor and resistor, which is going to be characterized by the modified nodal analysis algorithm constructed circuit equations. With the aim to couple the two subsystems together, a lumped port is defined over …
Transient Thermal Analysis Of 3-D Integrated Circuits Packages By The Dgtd Method, Ping Li, Yilin Dong, Min Tang, Junfa Mao, Li (Lijun) Jun Jiang, Hakan Bagci
Transient Thermal Analysis Of 3-D Integrated Circuits Packages By The Dgtd Method, Ping Li, Yilin Dong, Min Tang, Junfa Mao, Li (Lijun) Jun Jiang, Hakan Bagci
Electrical and Computer Engineering Faculty Research & Creative Works
Since accurate thermal analysis plays a critical role in the thermal design and management of the 3-D system-level integration, in this paper, a discontinuous Galerkin time-domain (DGTD) algorithm is proposed to achieve this purpose. Such as the parabolic partial differential equation (PDE), the transient thermal equation cannot be directly solved by the DGTD method. To address this issue, the heat flux, as an auxiliary variable, is introduced to reduce the Laplace operator to a divergence operator. The resulting PDE is hyperbolic, which can be further written into a conservative form. By properly choosing the definition of the numerical flux used …
Transient Analysis Of Dispersive Power-Ground Plate Pairs With Arbitrarily Shaped Antipads By The Dgtd Method With Wave Port Excitation, Ping Li, Li Jun Jiang, Hakan Bagci
Transient Analysis Of Dispersive Power-Ground Plate Pairs With Arbitrarily Shaped Antipads By The Dgtd Method With Wave Port Excitation, Ping Li, Li Jun Jiang, Hakan Bagci
Electrical and Computer Engineering Faculty Research & Creative Works
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 …