DGTD Analysis of Electromagnetic Scattering from Penetrable Conductive Objects with IBC

Handle URI:
http://hdl.handle.net/10754/579923
Title:
DGTD Analysis of Electromagnetic Scattering from Penetrable Conductive Objects with IBC
Authors:
Li, Ping; Shi, Yifei ( 0000-0002-3508-1010 ) ; Jiang, Li; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
To avoid straightforward volumetric discretization, a discontinuous Galerkin time-domain (DGTD) method integrated with the impedance boundary condition (IBC) is presented in this paper to analyze the scattering from objects with finite conductivity. Two situations are considered: i) the skin depth is smaller than the thickness of the conductive volume; ii) the skin depth is larger than the thickness of a thin conductive sheet. For the first situation, a surface impedance boundary condition (SIBC) is employed, wherein the surface impedance usually exhibits a complex relation with the frequency. To incorporate the SIBC into DGTD, the surface impedance is firstly approximated by rational functions in the Laplace domain using the fast relaxation vector-fitting (FRVF) technique. Via inverse Laplace transform, the time-domain DGTD matrix equations can be obtained conveniently in integral form with respect to time t. For the second situation, a transmission IBC (TIBC) is used to include the transparent effects of the fields. In the TIBC, the tangential magnetic field jump is related with the tangential electric field via the surface conductivity. In this work, a specifically designed DGTD algorithm with TIBC is developed to model the graphene up to the terahertz (THz) band. In order to incorporate the TIBC into DGTD without involving the time-domain convolution, an auxiliary surface polarization current governed by a first order differential equation is introduced over the graphene. For open-region scattering problems, the DGTD algorithm is further hybridized with the time-domain boundary integral (TDBI) method to rigorously truncate the computational domain. To demonstrate the accuracy and applicability of the proposed algorithm, several representative examples are provided.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
DGTD Analysis of Electromagnetic Scattering from Penetrable Conductive Objects with IBC 2015:1 IEEE Transactions on Antennas and Propagation
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Antennas and Propagation
Issue Date:
16-Oct-2015
DOI:
10.1109/TAP.2015.2491969
Type:
Article
ISSN:
0018-926X; 1558-2221
Additional Links:
http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7299647
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLi, Pingen
dc.contributor.authorShi, Yifeien
dc.contributor.authorJiang, Lien
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2015-10-20T12:48:16Zen
dc.date.available2015-10-20T12:48:16Zen
dc.date.issued2015-10-16en
dc.identifier.citationDGTD Analysis of Electromagnetic Scattering from Penetrable Conductive Objects with IBC 2015:1 IEEE Transactions on Antennas and Propagationen
dc.identifier.issn0018-926Xen
dc.identifier.issn1558-2221en
dc.identifier.doi10.1109/TAP.2015.2491969en
dc.identifier.urihttp://hdl.handle.net/10754/579923en
dc.description.abstractTo avoid straightforward volumetric discretization, a discontinuous Galerkin time-domain (DGTD) method integrated with the impedance boundary condition (IBC) is presented in this paper to analyze the scattering from objects with finite conductivity. Two situations are considered: i) the skin depth is smaller than the thickness of the conductive volume; ii) the skin depth is larger than the thickness of a thin conductive sheet. For the first situation, a surface impedance boundary condition (SIBC) is employed, wherein the surface impedance usually exhibits a complex relation with the frequency. To incorporate the SIBC into DGTD, the surface impedance is firstly approximated by rational functions in the Laplace domain using the fast relaxation vector-fitting (FRVF) technique. Via inverse Laplace transform, the time-domain DGTD matrix equations can be obtained conveniently in integral form with respect to time t. For the second situation, a transmission IBC (TIBC) is used to include the transparent effects of the fields. In the TIBC, the tangential magnetic field jump is related with the tangential electric field via the surface conductivity. In this work, a specifically designed DGTD algorithm with TIBC is developed to model the graphene up to the terahertz (THz) band. In order to incorporate the TIBC into DGTD without involving the time-domain convolution, an auxiliary surface polarization current governed by a first order differential equation is introduced over the graphene. For open-region scattering problems, the DGTD algorithm is further hybridized with the time-domain boundary integral (TDBI) method to rigorously truncate the computational domain. To demonstrate the accuracy and applicability of the proposed algorithm, several representative examples are provided.en
dc.language.isoenen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7299647en
dc.rights(c) 2015 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.en
dc.subjectAuxiliary differential equation (ADE)en
dc.subjectdiscontinuous Galerkin time-domain (DGTD) methoden
dc.subjectfinite integral technique (FIT)en
dc.subjectgrapheneen
dc.subjectsurface/transmission impedance boundary condition (SIBC/TIBC)en
dc.subjecttime-domain boundary integral (TDBI) algorithmen
dc.subjectvector-fittingen
dc.titleDGTD Analysis of Electromagnetic Scattering from Penetrable Conductive Objects with IBCen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalIEEE Transactions on Antennas and Propagationen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam Road, Hong Kongen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorLi, Pingen
kaust.authorShi, Yifeien
kaust.authorBagci, Hakanen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.