Computational Analysis of Metasurfaces

Metasurfaces represent one of the most vibrant fields of modern science and technology. A metasurface is a complex electromagnetic structure, which is typically deeply subwavelength in thickness, electrically large in transverse size, and composed of subwavelength scattering particles with extremely...

Full description

Saved in:
Bibliographic Details
Published inIEEE journal on multiscale and multiphysics computational techniques Vol. 3; pp. 37 - 49
Main Authors Vahabzadeh, Yousef, Chamanara, Nima, Achouri, Karim, Caloz, Christophe
Format Journal Article
LanguageEnglish
Published IEEE 2018
Subjects
Analytical models
Bianistropic media
computational electromagnetics
Computational modeling
Finite difference methods
finite-difference frequency domain (FDFD)
finite-difference time domain (FDTD)
finite-element method (FEM)
generalized sheet transition conditions (GSTCs)
Mathematical model
Media
metamaterials
metasurface
Scattering
sheet discontinuity
spectral-domain integral equation (SD-IE)
Time-domain analysis
Online AccessGet full text
ISSN2379-8815
2379-8815
DOI10.1109/JMMCT.2018.2829871

Cover

Abstract Metasurfaces represent one of the most vibrant fields of modern science and technology. A metasurface is a complex electromagnetic structure, which is typically deeply subwavelength in thickness, electrically large in transverse size, and composed of subwavelength scattering particles with extremely small features; it may generally be bianisotropic, space-varying and time-varying, nonlinear, curved, and multiphysics. With such complexity, the design of a metasurface requires a holistic approach, involving synergistic synthesis and analysis operations, based on a solid model. The generalized sheet transition conditions (GSTCs), combined with bianisotropic surface susceptibility functions, provide such a model and allow now for the design of sophisticated metasurfaces, which still represented a major challenge a couple of years ago. This paper presents this problem, focusing on the computational analysis of metasurfaces via the GSTC-susceptibility approach. It shows that this analysis plays a crucial role in the holistic design of metasurfaces and overviews recently reported related frequency-domain (finite-difference frequency-domain, spectral-domain integral-equation, and finite-element method) and time-domain (finite-difference time-domain) computational techniques.
AbstractList Metasurfaces represent one of the most vibrant fields of modern science and technology. A metasurface is a complex electromagnetic structure, which is typically deeply subwavelength in thickness, electrically large in transverse size, and composed of subwavelength scattering particles with extremely small features; it may generally be bianisotropic, space-varying and time-varying, nonlinear, curved, and multiphysics. With such complexity, the design of a metasurface requires a holistic approach, involving synergistic synthesis and analysis operations, based on a solid model. The generalized sheet transition conditions (GSTCs), combined with bianisotropic surface susceptibility functions, provide such a model and allow now for the design of sophisticated metasurfaces, which still represented a major challenge a couple of years ago. This paper presents this problem, focusing on the computational analysis of metasurfaces via the GSTC-susceptibility approach. It shows that this analysis plays a crucial role in the holistic design of metasurfaces and overviews recently reported related frequency-domain (finite-difference frequency-domain, spectral-domain integral-equation, and finite-element method) and time-domain (finite-difference time-domain) computational techniques.
Author Achouri, Karim
Caloz, Christophe
Vahabzadeh, Yousef
Chamanara, Nima
Author_xml – sequence: 1
  givenname: Yousef
  surname: Vahabzadeh
  fullname: Vahabzadeh, Yousef
  email: yousef.vahabzadeh@polymtl.ca
  organization: Dept. of Electr. Eng., Polytech. Montreal, Montreal, QC, Canada
– sequence: 2
  givenname: Nima
  surname: Chamanara
  fullname: Chamanara, Nima
  email: nima.chamanara@polymtl.ca
  organization: Dept. of Electr. Eng., Polytech. Montreal, Montreal, QC, Canada
– sequence: 3
  givenname: Karim
  surname: Achouri
  fullname: Achouri, Karim
  email: karim.achouri@polymtl.ca
  organization: Dept. of Electr. Eng., Polytech. Montreal, Montreal, QC, Canada
– sequence: 4
  givenname: Christophe
  surname: Caloz
  fullname: Caloz, Christophe
  email: christophe.caloz@polymtl.ca
  organization: Dept. of Electr. Eng., Polytech. Montreal, Montreal, QC, Canada
BookMark eNp9jz1rwzAQhkVJoWmaP9AunrrZ1YctncZg-klMl3Q2knICF8cOkjPk39epQykdutwdB8_78lyTWdd3SMgtoxljVD-8VVW5yThlkHHgGhS7IHMulE4BWDH7dV-RZYyflFKmOKeUz8l92e_2h8EMTd-ZNlmN4xibmPQ-qXAw8RC8cRhvyKU3bcTleS_Ix9PjpnxJ1-_Pr-VqnTqm1ZAWShcoLCDbMit8rqRAcCAlKoHWCgOYb1GKfHwVFsB6qbik1lPtIKdOLAifcl3oYwzo631odiYca0brk2z9LVufZOuz7AjBH8g1k9EQTNP-j95NaIOIP10gCqa5EF_052N_
CODEN IJMMOP
CitedBy_id crossref_primary_10_1109_TAP_2021_3060901
crossref_primary_10_1109_TAP_2022_3184540
crossref_primary_10_1186_s13638_019_1438_9
crossref_primary_10_1109_COMST_2020_3004197
crossref_primary_10_1109_JMMCT_2018_2881253
crossref_primary_10_1063_5_0204694
crossref_primary_10_1109_JMMCT_2021_3054012
crossref_primary_10_1109_OJAP_2024_3360900
crossref_primary_10_1109_TAP_2021_3111665
crossref_primary_10_1109_TAP_2022_3184477
crossref_primary_10_1109_ACCESS_2020_2992656
crossref_primary_10_1109_ACCESS_2024_3406160
crossref_primary_10_1186_s13638_021_02048_5
crossref_primary_10_1109_TAP_2022_3164125
crossref_primary_10_1109_TAP_2022_3164169
crossref_primary_10_1109_TAP_2022_3161454
crossref_primary_10_1109_TAP_2021_3070718
crossref_primary_10_1109_TAP_2019_2957317
crossref_primary_10_1515_nanoph_2024_0504
crossref_primary_10_1088_2040_8986_ab161d
crossref_primary_10_1109_TAP_2019_2952469
crossref_primary_10_1002_dac_6024
crossref_primary_10_3390_mi13081183
crossref_primary_10_1109_TAP_2021_3111337
crossref_primary_10_1109_TAP_2022_3177549
crossref_primary_10_1109_TAP_2019_2891706
crossref_primary_10_1109_JMMCT_2020_3045419
crossref_primary_10_1016_j_matcom_2022_02_016
crossref_primary_10_1063_5_0164806
crossref_primary_10_1109_TAP_2019_2935131
crossref_primary_10_1109_ACCESS_2022_3180505
crossref_primary_10_1109_TAP_2019_2905711
crossref_primary_10_1109_TAP_2023_3240095
crossref_primary_10_1364_OPTICA_498211
crossref_primary_10_1109_ACCESS_2020_2995358
crossref_primary_10_1109_JPROC_2022_3195536
crossref_primary_10_26866_jees_2023_5_r_187
crossref_primary_10_3390_telecom3020020
crossref_primary_10_1109_TMTT_2023_3240461
crossref_primary_10_1109_LAWP_2023_3281540
crossref_primary_10_1109_JPHOT_2021_3122371
crossref_primary_10_1049_mia2_12115
crossref_primary_10_1109_ACCESS_2020_3045753
crossref_primary_10_1109_ACCESS_2021_3058151
crossref_primary_10_1016_j_cpc_2023_108858
crossref_primary_10_1002_adma_202206399
crossref_primary_10_1109_LAWP_2023_3291868
crossref_primary_10_1109_TAP_2019_2927876
crossref_primary_10_1109_JSAC_2020_3007211
crossref_primary_10_1109_TAP_2022_3142294
crossref_primary_10_1109_TMTT_2023_3240418
crossref_primary_10_1103_PhysRevB_99_155140
Cites_doi 10.1051/epjam/2015016
10.1109/TAP.2005.844417
10.1006/jcph.1994.1159
10.1364/OE.21.025356
10.1364/OE.25.019013
10.23919/EuCAP.2017.7928389
10.1163/156939305775468741
10.1109/TAP.2015.2402285
10.1109/TMTT.2010.2078010
10.1109/TEMC.2005.853719
10.1109/TAP.2016.2588495
10.1109/TE.1972.4320709
10.1109/TAP.2013.2252136
10.1109/APS.2016.7695895
10.1109/TEMC.1981.303970
10.1016/j.metmat.2009.08.001
10.1109/TAP.2005.854524
10.1002/andp.201600015
10.1109/TAP.2016.2601347
10.1109/8.376042
10.1109/TAP.2017.2772022
10.2528/PIERB11092006
10.1109/TAP.2016.2537369
10.1109/9780470544655
10.1109/TAP.2017.2681323
10.1109/TAP.2003.817560
10.1038/nmat3839
10.1109/TAP.2013.2260517
10.1103/PhysRevLett.110.203903
10.1038/srep43722
10.1364/OE.21.011248
10.1021/nl304761m
10.1016/j.photonics.2014.07.001
10.1109/5.16352
10.1002/lpor.201400402
10.1002/9781118057926
10.1109/TAP.2015.2423700
10.1016/j.physrep.2016.04.004
10.1109/MAP.2012.6230714
10.1109/TAP.2017.2741058
10.1109/TAP.2018.2793958
10.1109/TAP.2017.2702712
10.1109/TAP.2017.2679478
10.1109/TAP.2014.2359208
10.1021/acsphotonics.5b00528
10.1109/TAP.2017.2772045
10.1109/TAP.2005.858803
10.1109/TAP.2012.2194659
10.1088/2040-8978/18/9/093005
10.1103/PhysRevApplied.2.044011
10.1006/jmaa.1996.0256
10.1021/acsphotonics.6b00392
10.1029/RS025i004p00391
10.1049/PBEW041E
10.1109/TMTT.2013.2287173
10.1109/TAP.2013.2271892
ContentType Journal Article
DBID 97E
RIA
RIE
AAYXX
CITATION
DOI 10.1109/JMMCT.2018.2829871
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005-present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
EISSN 2379-8815
EndPage 49
ExternalDocumentID 10_1109_JMMCT_2018_2829871
8351923
Genre orig-research
GroupedDBID 0R~
97E
AAJGR
AASAJ
AAWTH
ABAZT
ABJNI
ABQJQ
ABVLG
ACGFS
AGQYO
AGSQL
AHBIQ
AKJIK
AKQYR
ALMA_UNASSIGNED_HOLDINGS
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
EBS
EJD
IFIPE
JAVBF
OCL
RIA
RIE
AAYXX
CITATION
RIG
ID FETCH-LOGICAL-c197t-5795e3b8e1d1b3f4763e8c866e73ebb3a8e4de6348665b88bf67260bf09c840c3
IEDL.DBID RIE
ISSN 2379-8815
IngestDate Tue Jul 01 01:32:46 EDT 2025
Thu Apr 24 22:53:15 EDT 2025
Wed Aug 27 03:03:17 EDT 2025
IsPeerReviewed true
IsScholarly true
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c197t-5795e3b8e1d1b3f4763e8c866e73ebb3a8e4de6348665b88bf67260bf09c840c3
ORCID 0000-0002-6444-5215
0000-0001-7798-9855
0000-0003-0502-8435
PageCount 13
ParticipantIDs crossref_primary_10_1109_JMMCT_2018_2829871
crossref_citationtrail_10_1109_JMMCT_2018_2829871
ieee_primary_8351923
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 20180000
2018-00-00
PublicationDateYYYYMMDD 2018-01-01
PublicationDate_xml – year: 2018
  text: 20180000
PublicationDecade 2010
PublicationTitle IEEE journal on multiscale and multiphysics computational techniques
PublicationTitleAbbrev JMMCT
PublicationYear 2018
Publisher IEEE
Publisher_xml – name: IEEE
References ref13
ref56
ref12
ref15
ref58
ref14
ref53
ref52
ref55
ref54
ref17
achouri (ref20) 0
ref16
ref18
ref50
ref46
ref45
ref48
ref47
ref43
ref49
ref8
ref7
garg (ref67) 2008
ref4
ref3
ref6
ref5
ref40
achouri (ref27) 2017
bondeson (ref68) 2010
achouri (ref19) 0
ref35
ref34
ref37
ref36
ref31
ref30
ref33
cui (ref9) 2009
ref32
ref2
ref1
ref39
ref38
vahabzadeh (ref44) 2017
ma (ref11) 2015; 5
pors (ref10) 2013; 13
smy (ref41) 2017
ref24
ref23
ref26
ref69
ref25
ref64
ref63
ref66
ref22
arbabi (ref51) 2017; 7
ref65
safari (ref70) 0
berenger (ref57) 1994; 114
ref28
ref29
rothwell (ref21) 2008
taflove (ref42) 2005
jia (ref71) 2017
ref60
ref62
ref61
tretyakov (ref59) 2003
References_xml – year: 2017
  ident: ref41
  article-title: Integrated generalized sheet transition conditions (GSTCs) in a Yee-cell based finite-difference time-domain (FDTD) simulation of electromagnetic metasurfaces
– year: 2008
  ident: ref67
  publication-title: Analytical and Computational Methods in Electromagnetics
– ident: ref13
  doi: 10.1051/epjam/2015016
– ident: ref64
  doi: 10.1109/TAP.2005.844417
– volume: 114
  start-page: 185
  year: 1994
  ident: ref57
  article-title: A perfectly matched layer for the absorption of electromagnetic waves
  publication-title: J Comput Phys
  doi: 10.1006/jcph.1994.1159
– ident: ref63
  doi: 10.1364/OE.21.025356
– ident: ref15
  doi: 10.1364/OE.25.019013
– start-page: 878
  year: 0
  ident: ref20
  article-title: Birefringent generalized refractive metasurface
  publication-title: Proc IEEE Int Symp
– ident: ref28
  doi: 10.23919/EuCAP.2017.7928389
– ident: ref53
  doi: 10.1163/156939305775468741
– ident: ref50
  doi: 10.1109/TAP.2015.2402285
– ident: ref54
  doi: 10.1109/TMTT.2010.2078010
– ident: ref2
  doi: 10.1109/TEMC.2005.853719
– ident: ref47
  doi: 10.1109/TAP.2016.2588495
– ident: ref58
  doi: 10.1109/TE.1972.4320709
– ident: ref32
  doi: 10.1109/TAP.2013.2252136
– ident: ref36
  doi: 10.1109/APS.2016.7695895
– ident: ref56
  doi: 10.1109/TEMC.1981.303970
– year: 2009
  ident: ref9
  publication-title: Metamaterials Theory Design and Applications
– year: 2017
  ident: ref71
  article-title: A general synthesis method of spherical metasurfaces based on susceptibility tensors
– ident: ref4
  doi: 10.1016/j.metmat.2009.08.001
– ident: ref52
  doi: 10.1109/TAP.2005.854524
– ident: ref26
  doi: 10.1002/andp.201600015
– ident: ref23
  doi: 10.1109/TAP.2016.2601347
– start-page: 1489
  year: 0
  ident: ref19
  article-title: Controllable angular scattering with a bianisotropic metasurface
  publication-title: Proc IEEE Int Symp Antennas Propag /USNC/URSI Nat Radio Sci Meeting
– ident: ref43
  doi: 10.1109/8.376042
– ident: ref24
  doi: 10.1109/TAP.2017.2772022
– ident: ref69
  doi: 10.2528/PIERB11092006
– ident: ref16
  doi: 10.1109/TAP.2016.2537369
– ident: ref55
  doi: 10.1109/9780470544655
– ident: ref40
  doi: 10.1109/TAP.2017.2681323
– ident: ref1
  doi: 10.1109/TAP.2003.817560
– ident: ref3
  doi: 10.1038/nmat3839
– ident: ref62
  doi: 10.1109/TAP.2013.2260517
– ident: ref49
  doi: 10.1103/PhysRevLett.110.203903
– year: 2010
  ident: ref68
  publication-title: Computational Electromagnetics
– volume: 7
  year: 2017
  ident: ref51
  article-title: Fundamental limits of ultrathin metasurfaces
  publication-title: Sci Rep
  doi: 10.1038/srep43722
– ident: ref61
  doi: 10.1364/OE.21.011248
– year: 2017
  ident: ref27
  article-title: Design, concepts and applications of electromagnetic metasurfaces
– volume: 5
  year: 2015
  ident: ref11
  article-title: A planar chiral meta-surface for optical vortex generation and focusing
  publication-title: Sci Rep
– year: 2008
  ident: ref21
  publication-title: Electromagnetics
– volume: 13
  start-page: 829
  year: 2013
  ident: ref10
  article-title: Broadband focusing flat mirrors based on plasmonic gradient metasurfaces
  publication-title: Nano Lett
  doi: 10.1021/nl304761m
– ident: ref35
  doi: 10.1016/j.photonics.2014.07.001
– ident: ref60
  doi: 10.1109/5.16352
– ident: ref8
  doi: 10.1002/lpor.201400402
– ident: ref31
  doi: 10.1002/9781118057926
– ident: ref18
  doi: 10.1109/TAP.2015.2423700
– ident: ref6
  doi: 10.1016/j.physrep.2016.04.004
– ident: ref5
  doi: 10.1109/MAP.2012.6230714
– ident: ref37
  doi: 10.1109/TAP.2017.2741058
– ident: ref45
  doi: 10.1109/TAP.2018.2793958
– ident: ref17
  doi: 10.1109/TAP.2017.2702712
– ident: ref38
  doi: 10.1109/TAP.2017.2679478
– ident: ref25
  doi: 10.1109/TAP.2014.2359208
– ident: ref14
  doi: 10.1021/acsphotonics.5b00528
– ident: ref46
  doi: 10.1109/TAP.2017.2702712
– ident: ref39
  doi: 10.1109/TAP.2017.2772045
– ident: ref65
  doi: 10.1109/TAP.2005.858803
– ident: ref48
  doi: 10.1109/TAP.2012.2194659
– ident: ref7
  doi: 10.1088/2040-8978/18/9/093005
– ident: ref22
  doi: 10.1103/PhysRevApplied.2.044011
– ident: ref66
  doi: 10.1006/jmaa.1996.0256
– start-page: 1499
  year: 0
  ident: ref70
  article-title: Cylindrical metasurfaces for exotic electromagnetic wave manipulations
  publication-title: Proc IEEE Int Symp Antennas Propag /USNC/URSI Nat Radio Sci Meeting
– ident: ref12
  doi: 10.1021/acsphotonics.6b00392
– ident: ref30
  doi: 10.1029/RS025i004p00391
– ident: ref29
  doi: 10.1049/PBEW041E
– ident: ref34
  doi: 10.1109/TMTT.2013.2287173
– year: 2005
  ident: ref42
  publication-title: Computational Electrodynamics The Finite-Difference Time-Domain Method
– year: 2017
  ident: ref44
  article-title: Dispersive metasurface sheet analysis using GSTC-FDTD
– ident: ref33
  doi: 10.1109/TAP.2013.2271892
– year: 2003
  ident: ref59
  publication-title: Analytical Modeling in Applied Electromagnetics
SSID ssj0001722002
Score 2.30402
Snippet Metasurfaces represent one of the most vibrant fields of modern science and technology. A metasurface is a complex electromagnetic structure, which is...
SourceID crossref
ieee
SourceType Enrichment Source
Index Database
Publisher
StartPage 37
SubjectTerms Analytical models
Bianistropic media
computational electromagnetics
Computational modeling
Finite difference methods
finite-difference frequency domain (FDFD)
finite-difference time domain (FDTD)
finite-element method (FEM)
generalized sheet transition conditions (GSTCs)
Mathematical model
Media
metamaterials
metasurface
Scattering
sheet discontinuity
spectral-domain integral equation (SD-IE)
Time-domain analysis
Title Computational Analysis of Metasurfaces
URI https://ieeexplore.ieee.org/document/8351923
Volume 3
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV07T8MwELbaTiwUKIjyUgbEAknjOrHPI6qoqkphaqVuUc45L6AWQbrw64nzKA8hxGTLsiXrkxPfnb-7j7FrnnEJJIwvVY5-BDH6QHHmK-KAWhub2Ypt8Shny2i-ilcddrfLhSGiinxGgetWb_n5xmxdqGwETk1uLLqsWzpuda7WZzxFjR3foM2LCfVoniSThSNvQeCeC0Hxb3fPFzGV6i6Z9lnS7qKmkDwF2wID8_6jQON_t3nA9huj0ruvT8Eh69D6iPUbA9NrPt-3AbupNRya-J_XFiTxNtZLqHDBQusYWsdsOX1YTGZ-I5TgG65V4cdKxyQQiOcchY3KfwaBASlJCUIUGVCUkxSRK26HAGilKv0YtKE2pYNnxAnrrTdrOmWeVhwlqrEo28ggaoAMcmHzOCzHbT5kvIUwNU0VcSdm8ZxW3kSo0wr21MGeNrAP2e1uzUtdQ-PP2QMH6W5mg-bZ78PnbM8troMiF6xXvG7psjQTCryqzscHEhq5_w
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV07T8MwED6VMsBCgYIozwyIBdLGdeLHiBBVKU2nVuoWxc55AbUI0oVfT5w45SGEmBxZjmV9cuK783f3AVySlDCBVPuMZ8oPRaR8gVHqcyRCSalNakq2xYQNZ-FoHs0bcLPOhUHEknyGXftY3uVnS72yobKesGpyfboBm5FNxq2ytT4jKrxvGQd1Zkwge6M4vpta-pbo2gtDwcm30-eLnEp5mgxaENfrqEgkT91Vrrr6_UeJxv8udBd2nFnp3Vb7YA8auNiHljMxPfcBv7XhqlJxcBFAry5J4i2NF2Nuw4XGcrQOYDa4n94NfSeV4Gsiee5HXEZIlUCSEUVNWPw1UGjBGHKKStFUYJgho6Etb6eEUIbxwpNRJpC6cPE0PYTmYrnAI_AkJ4op3qdFG2qlpBCpyKjJoqDoN1kHSA1hol0dcStn8ZyU_kQgkxL2xMKeONg7cL1-56WqovHn6LaFdD3SoXn8e_cFbA2n8TgZP0weT2DbTlSFSE6hmb-u8KwwGnJ1Xu6VD_SAvUc
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Computational+Analysis+of+Metasurfaces&rft.jtitle=IEEE+journal+on+multiscale+and+multiphysics+computational+techniques&rft.au=Vahabzadeh%2C+Yousef&rft.au=Chamanara%2C+Nima&rft.au=Achouri%2C+Karim&rft.au=Caloz%2C+Christophe&rft.date=2018&rft.pub=IEEE&rft.eissn=2379-8815&rft.volume=3&rft.spage=37&rft.epage=49&rft_id=info:doi/10.1109%2FJMMCT.2018.2829871&rft.externalDocID=8351923
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2379-8815&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2379-8815&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2379-8815&client=summon