An Efficient Mode-Based Domain Decomposition Hybrid 2-D/Q-2D Finite-Element Time-Domain Method for Power/Ground Plate-Pair Analysis

Abstract
Generally, with a surface magnetic current excitation, only the TMzmn modes are activated between the power/ground plate pair. As a result, the magnetic field only has azimuthal component while the longitude component is zero. To make full use of this quasi-2-D (Q-2D) property, a Q-2D finiteelement time-domain (FETD) method combined with the basic 3-D triangular prism mesh elements is firstly proposed to solve the magnetic field wave equation. It is further noted that the higher order modes are confined in the proximity of the antipads (labeled as via domain) due to the exponential attenuation property along the propagating direction. Therefore, in the region sufficiently far from the antipad (marked as plate-pair domain), only the fundamental mode needs to be considered. In this way, a Q-2D FETD analysis is required in the via domain while in the plate-pair domain, only a 2-D FETD solver is needed. As a result, the proposed algorithm is actually a hybrid 2-D and Q-2D FETD method. Besides, to handle arbitrarily shaped antipads, the wave-port excitation is implemented, and the corresponding mode-based S-parameter extraction methodology is developed according to the orthogonal property of different eigenmodes. The efficiency, accuracy, and generality of the proposed approach are verified by several representative examples.

Citation
Li P, Jiang LJ, Zhang YJ, Xu S, Bagci H (2018) An Efficient Mode-Based Domain Decomposition Hybrid 2-D/Q-2D Finite-Element Time-Domain Method for Power/Ground Plate-Pair Analysis. IEEE Transactions on Microwave Theory and Techniques 66: 4357–4366. Available: http://dx.doi.org/10.1109/tmtt.2018.2851216.

Acknowledgements
This work was supported in part by the National Natural Science Foundation of China (NSFC) under Grant 61701423, Grant 61271158, Grant 61674105, Grant 61622106, Grant 61701424, and Grant 61601207, in part by GRF under Grant 17207114 and Grant 17210815, in part by AOARD under Grant FA2386-17-1-0010, in part by Hong Kong UGC under Grant AoE/PC04/08, and in part by the HKU Seed Fund under Grant 201711159228.

Publisher
Institute of Electrical and Electronics Engineers (IEEE)

Journal
IEEE Transactions on Microwave Theory and Techniques

DOI
10.1109/tmtt.2018.2851216

Additional Links
https://ieeexplore.ieee.org/document/8412206

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