Transient Analysis of Dispersive Power-Ground Plate Pairs With Arbitrarily Shaped Antipads by the DGTD Method With Wave Port Excitation

Handle URI:
http://hdl.handle.net/10754/622822
Title:
Transient Analysis of Dispersive Power-Ground Plate Pairs With Arbitrarily Shaped Antipads by the DGTD Method With Wave Port Excitation
Authors:
Li, Ping; Jiang, Li Jun; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Li P, Jiang LJ, Bagci H (2017) Transient Analysis of Dispersive Power-Ground Plate Pairs With Arbitrarily Shaped Antipads by the DGTD Method With Wave Port Excitation. IEEE Transactions on Electromagnetic Compatibility 59: 172–183. Available: http://dx.doi.org/10.1109/TEMC.2016.2596978.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Electromagnetic Compatibility
Issue Date:
9-Sep-2016
DOI:
10.1109/TEMC.2016.2596978
Type:
Article
ISSN:
0018-9375; 1558-187X
Sponsors:
This work is supported in part by the National Science Foundation of China under Grant 61234001.
Additional Links:
http://ieeexplore.ieee.org/document/7563876/
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLi, Pingen
dc.contributor.authorJiang, Li Junen
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2017-01-30T13:02:47Z-
dc.date.available2017-01-30T13:02:47Z-
dc.date.issued2016-09-09en
dc.identifier.citationLi P, Jiang LJ, Bagci H (2017) Transient Analysis of Dispersive Power-Ground Plate Pairs With Arbitrarily Shaped Antipads by the DGTD Method With Wave Port Excitation. IEEE Transactions on Electromagnetic Compatibility 59: 172–183. Available: http://dx.doi.org/10.1109/TEMC.2016.2596978.en
dc.identifier.issn0018-9375en
dc.identifier.issn1558-187Xen
dc.identifier.doi10.1109/TEMC.2016.2596978en
dc.identifier.urihttp://hdl.handle.net/10754/622822-
dc.description.abstractA 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.en
dc.description.sponsorshipThis work is supported in part by the National Science Foundation of China under Grant 61234001.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7563876/en
dc.rights(c) 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Released under the IEEE Open Access Publishing Agreement.en
dc.rights.urihttp://www.ieee.org/publications_standards/publications/rights/oa_author_choices.htmlen
dc.subjectAuxiliary differential equation (ADE) methoden
dc.subjectdiscontinuous Galerkin time-domain (DGTD) methoden
dc.subjectdispersive mediaen
dc.subjectpower-ground plate pairen
dc.subjectnumerical eigenmodeen
dc.subjectwave port excitationen
dc.titleTransient Analysis of Dispersive Power-Ground Plate Pairs With Arbitrarily Shaped Antipads by the DGTD Method With Wave Port Excitationen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalIEEE Transactions on Electromagnetic Compatibilityen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, United Statesen
dc.contributor.institutionDepartment of Electrical and Electronic Engineering, University of Hong Kong, Hong Kong, Hong Kongen
kaust.authorBagci, Hakanen
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