TY - GEN
T1 - A 2D/Q-2D Subdomain Finite Element Method for Irregular Power/Ground Plate-Pair Analysis with Waveport Excitation
AU - Li, Ping
AU - Jiang, Li Jun
AU - Zhang, Yao Jiang
AU - Xu, Shuai
AU - Bagci, Hakan
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The research reported in this publication was supported by the National Natural Science Foundation of China (NSFC) under Grant 61701423 and by funding from King Abdullah University of Science and Technology (KAUST).
PY - 2019/12/17
Y1 - 2019/12/17
N2 - The field distribution of a power/ground plane can be fully characterized by TMzmn modes, where the electric fields have both azimuthal and longitudinal components and the magnetic fields have only the azimuthal component. Thus, if the magnetic fields are defined to be the unknowns in the finite element method (FEM) used for the analysis of the power/ground plane structure, the analysis becomes a quasi-two dimensional (Q-2D) problem. Since the high-order modes are evanescent, they are tightly confined to the near region of the vias guarded by anti-pads; while in the regions sufficiently far from the anti-pads, only the fundamental mode should be accounted for. Therefore, the Q-2D problem is naturally transformed to be a hybrid 2D and Q-2D one. Compared with the brute-force three dimensional (3D) analysis, the number of unknowns is significantly reduced. To further reduce the computational cost, a new Riemann solver inspired domain decomposition method (D-DM), which accounts for the 2D and Q-2D region separately, is further proposed. The numerical flux for the Maxwell equations are used to realize the information exchange between the two domains. Finally, numerical examples are given to verify the proposed method.
AB - The field distribution of a power/ground plane can be fully characterized by TMzmn modes, where the electric fields have both azimuthal and longitudinal components and the magnetic fields have only the azimuthal component. Thus, if the magnetic fields are defined to be the unknowns in the finite element method (FEM) used for the analysis of the power/ground plane structure, the analysis becomes a quasi-two dimensional (Q-2D) problem. Since the high-order modes are evanescent, they are tightly confined to the near region of the vias guarded by anti-pads; while in the regions sufficiently far from the anti-pads, only the fundamental mode should be accounted for. Therefore, the Q-2D problem is naturally transformed to be a hybrid 2D and Q-2D one. Compared with the brute-force three dimensional (3D) analysis, the number of unknowns is significantly reduced. To further reduce the computational cost, a new Riemann solver inspired domain decomposition method (D-DM), which accounts for the 2D and Q-2D region separately, is further proposed. The numerical flux for the Maxwell equations are used to realize the information exchange between the two domains. Finally, numerical examples are given to verify the proposed method.
UR - http://hdl.handle.net/10754/660635
UR - https://ieeexplore.ieee.org/document/8931442/
UR - http://www.scopus.com/inward/record.url?scp=85077958424&partnerID=8YFLogxK
U2 - 10.23919/URSI-EMTS.2019.8931442
DO - 10.23919/URSI-EMTS.2019.8931442
M3 - Conference contribution
SN - 9781946815064
BT - 2019 URSI International Symposium on Electromagnetic Theory (EMTS)
PB - IEEE
ER -