Modeling of Multiple Dynamics in the Radiation of Bulk Acoustic Wave Antennas

An unconditionally stable finite-difference time-domain (FDTD) algorithm is proposed to predict and understand the complex response in strain-mediated multiferroic radio frequency devices, such as antennas. A system of three coupled sets of governing equations is solved simultaneously: 1) Maxwell�...

Full description

Saved in:
Bibliographic Details
Published inIEEE journal on multiscale and multiphysics computational techniques Vol. 5; pp. 5 - 18
Main Authors Yao, Zhi, Tiwari, Sidhant, Lu, Ting, Rivera, Jesse, Luong, Kevin Q. T., Candler, Robert N., Carman, Gregory P., Wang, Yuanxun Ethan
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Acoustic waves
Acoustics
Algorithms
Antennas
Computer simulation
electrodynamics
Far fields
Ferromagnetic resonance
Ferromagnetism
finite-difference time-domain (FDTD) methods
Magnetic domains
Magnetic resonance
Magnetoacoustic effects
magnetoelastic
Magnetostriction
Mathematical model
Maxwell's equations
micromagnetics
Multiferroic materials
multiphysics
Newton Theory
Strain analysis
thin films
unconditionally stable methods
Wave propagation
Online AccessGet full text
ISSN2379-8815
2379-8815
DOI10.1109/JMMCT.2019.2959596

Cover

Abstract An unconditionally stable finite-difference time-domain (FDTD) algorithm is proposed to predict and understand the complex response in strain-mediated multiferroic radio frequency devices, such as antennas. A system of three coupled sets of governing equations is solved simultaneously: 1) Maxwell's equations for electromagnetic (EM) wave propagation; 2) Landau- Lifshitz-Gilbert equation for magnetic spin response; and 3) Newton's law for acoustic behavior. The formulation of this algorithm is elaborated on in detail followed by a demonstration of its capability through the simulation of a 1.3-μm-thick bulk-acoustic-wave (BAW)-based strain-mediated multiferroic antenna. Analysis of the far-field radiation efficiency of this antenna as a function of magnetic dc bias demonstrates the importance of aligning the ferromagnetic resonance (FMR) and the mechanical BAW resonance to enhance EM radiation performance. Results also show that reducing the magnetic loss, or in other words, reducing the FMR linewidth, represents the dominating feature to achieve higher radiation efficiencies in these antennas.
AbstractList An unconditionally stable finite-difference time-domain (FDTD) algorithm is proposed to predict and understand the complex response in strain-mediated multiferroic radio frequency devices, such as antennas. A system of three coupled sets of governing equations is solved simultaneously: 1) Maxwell's equations for electromagnetic (EM) wave propagation; 2) Landau- Lifshitz-Gilbert equation for magnetic spin response; and 3) Newton's law for acoustic behavior. The formulation of this algorithm is elaborated on in detail followed by a demonstration of its capability through the simulation of a 1.3-μm-thick bulk-acoustic-wave (BAW)-based strain-mediated multiferroic antenna. Analysis of the far-field radiation efficiency of this antenna as a function of magnetic dc bias demonstrates the importance of aligning the ferromagnetic resonance (FMR) and the mechanical BAW resonance to enhance EM radiation performance. Results also show that reducing the magnetic loss, or in other words, reducing the FMR linewidth, represents the dominating feature to achieve higher radiation efficiencies in these antennas.
An unconditionally stable finite-difference time-domain (FDTD) algorithm is proposed to predict and understand the complex response in strain-mediated multiferroic radio frequency devices, such as antennas. A system of three coupled sets of governing equations is solved simultaneously: 1) Maxwell's equations for electromagnetic (EM) wave propagation; 2) Landau–Lifshitz–Gilbert equation for magnetic spin response; and 3) Newton's law for acoustic behavior. The formulation of this algorithm is elaborated on in detail followed by a demonstration of its capability through the simulation of a 1.3- μ m-thick bulk-acoustic-wave (BAW)-based strain-mediated multiferroic antenna. Analysis of the far-field radiation efficiency of this antenna as a function of magnetic dc bias demonstrates the importance of aligning the ferromagnetic resonance (FMR) and the mechanical BAW resonance to enhance EM radiation performance. Results also show that reducing the magnetic loss, or in other words, reducing the FMR linewidth, represents the dominating feature to achieve higher radiation efficiencies in these antennas.
Author Wang, Yuanxun Ethan
Tiwari, Sidhant
Rivera, Jesse
Carman, Gregory P.
Lu, Ting
Luong, Kevin Q. T.
Yao, Zhi
Candler, Robert N.
Author_xml – sequence: 1
  givenname: Zhi
  orcidid: 0000-0001-5863-8275
  surname: Yao
  fullname: Yao, Zhi
  email: zhiyao@ucla.edu
  organization: Department of Electrical and Computer Engineering, University of California, Los Angeles, Los Angeles, CA, USA
– sequence: 2
  givenname: Sidhant
  orcidid: 0000-0002-2289-0724
  surname: Tiwari
  fullname: Tiwari, Sidhant
  email: stiwari@g.ucla.edu
  organization: Department of Electrical and Computer Engineering, University of California, Los Angeles, Los Angeles, CA, USA
– sequence: 3
  givenname: Ting
  surname: Lu
  fullname: Lu, Ting
  email: tinglu@ucla.edu
  organization: Department of Electrical and Computer Engineering, University of California, Los Angeles, Los Angeles, CA, USA
– sequence: 4
  givenname: Jesse
  surname: Rivera
  fullname: Rivera, Jesse
  email: jesse.rivera.7192@gmail.com
  organization: Mechanical and Aerospace Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA
– sequence: 5
  givenname: Kevin Q. T.
  surname: Luong
  fullname: Luong, Kevin Q. T.
  email: kevqluong@gmail.com
  organization: Department of Electrical and Computer Engineering, University of California, Los Angeles, Los Angeles, CA, USA
– sequence: 6
  givenname: Robert N.
  orcidid: 0000-0002-9584-1309
  surname: Candler
  fullname: Candler, Robert N.
  email: rcandler@g.ucla.edu
  organization: Department of Electrical and Computer Engineering and the California NanoSystems Institute (CNSI), University of California, Los Angeles, Los Angeles, CA, USA
– sequence: 7
  givenname: Gregory P.
  surname: Carman
  fullname: Carman, Gregory P.
  email: carman@seas.ucla.edu
  organization: Mechanical and Aerospace Engineering Department, University of California, Los Angeles, Los Angeles, CA, USA
– sequence: 8
  givenname: Yuanxun Ethan
  orcidid: 0000-0001-7549-0559
  surname: Wang
  fullname: Wang, Yuanxun Ethan
  email: ywang@ee.ucla.edu
  organization: Department of Electrical and Computer Engineering, University of California, Los Angeles, Los Angeles, CA, USA
BookMark eNp9kMtKAzEUhoNUsNa-gG4CrluTk7kky1rvdBCk4nKImTOaOs3USUbo2zu9IOJCsjhZ_N-5fMek52qHhJxyNuacqYuHLJvOx8C4GoOKu5cckD6IVI2k5HHv1_-IDL1fMMZ4CsAY9EmW1QVW1r3RuqRZWwW7qpBerZ1eWuOpdTS8I33ShdXB1m6TumyrDzoxdeuDNfRFfyGduIDOaX9CDktdeRzu64A831zPp3ej2ePt_XQyG5luwTCKsJSGpTpJUuQxKBZBIrCICjCpVAYk41AIKQ0a_iqFAC0TNLrUXAuQyMWAnO_6rpr6s0Uf8kXdNq4bmYOIgSuh0rRLyV3KNLX3DZa5sWF7Rmi0rXLO8o2_fOsv3_jL9_46FP6gq8YudbP-HzrbQRYRfwCpBERRKr4BOmB8ng
CODEN IJMMOP
CitedBy_id crossref_primary_10_1109_TAP_2022_3220663
crossref_primary_10_1002_aelm_202300096
crossref_primary_10_3390_mi15010011
crossref_primary_10_1063_5_0171973
crossref_primary_10_1109_LAWP_2023_3323299
crossref_primary_10_1109_LAWP_2024_3441932
crossref_primary_10_1016_j_physleta_2020_126959
crossref_primary_10_1109_TAP_2024_3481651
crossref_primary_10_1109_TAP_2023_3252465
crossref_primary_10_1063_5_0127422
crossref_primary_10_1016_j_physleta_2022_128551
crossref_primary_10_1016_j_sna_2024_115990
crossref_primary_10_3390_mi13020272
crossref_primary_10_1007_s11277_024_11556_8
crossref_primary_10_1038_s41524_024_01380_w
crossref_primary_10_1016_j_jmmm_2025_172833
crossref_primary_10_3390_s22020455
crossref_primary_10_1007_s10854_021_07616_5
crossref_primary_10_1016_j_physleta_2023_128802
crossref_primary_10_1103_PhysRevB_103_054439
crossref_primary_10_1063_5_0122736
crossref_primary_10_1063_5_0098323
crossref_primary_10_1002_adfm_202408699
crossref_primary_10_1016_j_jmmm_2022_170039
crossref_primary_10_1063_5_0192222
crossref_primary_10_3390_mi15020190
crossref_primary_10_1088_1402_4896_acce82
crossref_primary_10_1007_s10409_023_23120_x
crossref_primary_10_1103_PhysRevB_107_094431
crossref_primary_10_1103_PhysRevApplied_18_064050
crossref_primary_10_1109_LED_2024_3437157
crossref_primary_10_1109_ACCESS_2022_3183107
crossref_primary_10_12688_openreseurope_13302_1
crossref_primary_10_1063_5_0165393
crossref_primary_10_1063_5_0018074
crossref_primary_10_1109_TAP_2024_3356053
crossref_primary_10_1063_5_0151937
crossref_primary_10_1109_TAP_2022_3195459
Cites_doi 10.1002/mop.21898
10.1007/BF03167039
10.1016/S0168-9274(03)00010-2
10.1016/S0304-8853(02)00765-5
10.31438/trf.hh2016.112
10.1038/s41467-017-00343-8
10.1109/TAP.1966.1138693
10.1016/j.jmmm.2013.04.085
10.1109/TMTT.2018.2825373
10.1016/j.cam.2006.03.043
10.1103/RevModPhys.17.72
10.1007/978-3-642-32042-2_5
10.1016/B978-0-08-036364-6.50008-9
10.1109/22.795075
10.1109/APS.2015.7305305
10.1109/APUSNCURSINRSM.2017.8072605
10.1109/TAP.2007.910338
10.1038/s41598-018-23020-2
10.1002/adma.200901131
10.1109/22.869007
10.1016/j.physb.2011.11.031
10.1063/1.4975030
10.1109/TAP.2017.2758844
10.1126/sciadv.aat6574
10.1137/070683064
10.1201/EBK1439805824
10.1137/090762646
10.1073/pnas.74.5.1765
10.1063/1.4939914
10.1038/srep18264
10.1016/j.jcp.2005.04.001
10.1109/22.654927
10.1109/TAP.2015.2431723
10.1051/m2an:1999154
10.1109/TAP.2018.2863248
10.1109/29.32276
10.1109/TEMC.1968.302963
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
DBID 97E
RIA
RIE
AAYXX
CITATION
7SC
8FD
F28
FR3
JQ2
L7M
L~C
L~D
DOI 10.1109/JMMCT.2019.2959596
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Computer and Information Systems Abstracts
Technology Research Database
ANTE: Abstracts in New Technology & Engineering
Engineering Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Technology Research Database
Computer and Information Systems Abstracts – Academic
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
ANTE: Abstracts in New Technology & Engineering
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Technology Research Database
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 18
ExternalDocumentID 10_1109_JMMCT_2019_2959596
8932447
Genre orig-research
GrantInformation_xml – fundername: Defense Advanced Research Projects Agency (DARPA) Magnetic Miniaturized and Monolithically Integrated Components (M3IC) Program
  grantid: W911NF-17-1-0100
– fundername: NSF Nanosystems Engineering Research Center for Translational Applications of Nanoscale Multiferroic Systems (TANMS) Cooperative Agreement Award
  grantid: EEC-1160504
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
7SC
8FD
F28
FR3
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c295t-4ef8c07a667e152904263ed4d2c789c28012d388cec1b8332a86ecafa1a328e13
IEDL.DBID RIE
ISSN 2379-8815
IngestDate Mon Jun 30 06:07:30 EDT 2025
Wed Oct 01 02:18:32 EDT 2025
Thu Apr 24 23:00:50 EDT 2025
Wed Aug 27 02:39:31 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
https://doi.org/10.15223/policy-029
https://doi.org/10.15223/policy-037
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c295t-4ef8c07a667e152904263ed4d2c789c28012d388cec1b8332a86ecafa1a328e13
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0001-5863-8275
0000-0002-9584-1309
0000-0001-7549-0559
0000-0002-2289-0724
PQID 2352193977
PQPubID 4437231
PageCount 14
ParticipantIDs proquest_journals_2352193977
ieee_primary_8932447
crossref_citationtrail_10_1109_JMMCT_2019_2959596
crossref_primary_10_1109_JMMCT_2019_2959596
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 20200000
2020-00-00
20200101
PublicationDateYYYYMMDD 2020-01-01
PublicationDate_xml – year: 2020
  text: 20200000
PublicationDecade 2020
PublicationPlace Piscataway
PublicationPlace_xml – name: Piscataway
PublicationTitle IEEE journal on multiscale and multiphysics computational techniques
PublicationTitleAbbrev JMMCT
PublicationYear 2020
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref13
ref34
ref12
ref37
ref15
auld (ref8) 1973
ref36
ref14
ahmad (ref26) 2015; 5
ref30
ref33
pozar (ref31) 2012
ref2
ref1
ref17
balanis (ref39) 1999
ref16
ref19
kleemann (ref29) 0; 246
hashimoto (ref35) 2009
wang (ref38) 1998; 46
ref24
gurevich (ref25) 1996
ref23
ref42
ref41
ba?as (ref18) 2008; 215
ref22
ref44
ref21
ref43
lax (ref10) 2012
ref28
landau (ref11) 2013; 8
ref27
ref7
ref9
yee (ref32) 1966; 14
ref4
ref3
ref6
ref5
ref40
ba?as (ref20) 2008; 46
References_xml – ident: ref43
  doi: 10.1002/mop.21898
– ident: ref13
  doi: 10.1007/BF03167039
– ident: ref14
  doi: 10.1016/S0168-9274(03)00010-2
– year: 1973
  ident: ref8
  publication-title: Acoustic Fields and Waves in Solids
– year: 1996
  ident: ref25
  publication-title: Magnetization Oscillations and Waves
– year: 1999
  ident: ref39
  publication-title: Advanced Engineering Electromagnetics
– ident: ref19
  doi: 10.1016/S0304-8853(02)00765-5
– ident: ref4
  doi: 10.31438/trf.hh2016.112
– ident: ref3
  doi: 10.1038/s41467-017-00343-8
– volume: 8
  year: 2013
  ident: ref11
  publication-title: Electrodynamics of Continuous Media
– volume: 14
  start-page: 302
  year: 1966
  ident: ref32
  article-title: Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
  publication-title: IEEE Trans Antennas Propag
  doi: 10.1109/TAP.1966.1138693
– year: 2012
  ident: ref10
  publication-title: Microwave Ferrites and Ferrimagnetics
– ident: ref17
  doi: 10.1016/j.jmmm.2013.04.085
– year: 2012
  ident: ref31
  publication-title: Microwave Engineering
– year: 2009
  ident: ref35
  publication-title: RF Bulk Acoustic Wave Filters for Communications
– ident: ref7
  doi: 10.1109/TMTT.2018.2825373
– volume: 215
  start-page: 304
  year: 2008
  ident: ref18
  article-title: Adaptive techniques for Landau-Lifshitz-Gilbert equation with magnetostriction
  publication-title: J Comput Appl Math
  doi: 10.1016/j.cam.2006.03.043
– ident: ref28
  doi: 10.1103/RevModPhys.17.72
– volume: 246
  start-page: 163
  year: 0
  ident: ref29
  article-title: Multiferroic and magnetoelectric materials
  publication-title: Magnetic Nanostructures
  doi: 10.1007/978-3-642-32042-2_5
– ident: ref9
  doi: 10.1016/B978-0-08-036364-6.50008-9
– ident: ref23
  doi: 10.1109/22.795075
– ident: ref40
  doi: 10.1109/APS.2015.7305305
– ident: ref24
  doi: 10.1109/APUSNCURSINRSM.2017.8072605
– ident: ref44
  doi: 10.1109/TAP.2007.910338
– ident: ref27
  doi: 10.1038/s41598-018-23020-2
– ident: ref33
  doi: 10.1002/adma.200901131
– ident: ref22
  doi: 10.1109/22.869007
– ident: ref15
  doi: 10.1016/j.physb.2011.11.031
– ident: ref5
  doi: 10.1063/1.4975030
– ident: ref41
  doi: 10.1109/TAP.2017.2758844
– ident: ref36
  doi: 10.1126/sciadv.aat6574
– volume: 46
  start-page: 1399
  year: 2008
  ident: ref20
  article-title: A convergent implicit finite element discretization of the Maxwell-Landau-Lifshitz-Gilbert equation
  publication-title: SIAM J Numer Anal
  doi: 10.1137/070683064
– ident: ref1
  doi: 10.1201/EBK1439805824
– ident: ref12
  doi: 10.1137/090762646
– ident: ref34
  doi: 10.1073/pnas.74.5.1765
– ident: ref30
  doi: 10.1063/1.4939914
– volume: 5
  year: 2015
  ident: ref26
  article-title: Reversible strain-induced magnetization switching in FeGa nanomagnets: Pathway to a rewritable, non-volatile, non-toggle, extremely low energy straintronic memory
  publication-title: Sci Rep
  doi: 10.1038/srep18264
– ident: ref16
  doi: 10.1016/j.jcp.2005.04.001
– volume: 46
  start-page: 89
  year: 1998
  ident: ref38
  article-title: multimode parameter extraction for multiconductor transmission lines via single-pass fdtd and signal-processing techniques
  publication-title: IEEE Transactions on Microwave Theory and Techniques
  doi: 10.1109/22.654927
– ident: ref2
  doi: 10.1109/TAP.2015.2431723
– ident: ref21
  doi: 10.1051/m2an:1999154
– ident: ref42
  doi: 10.1109/TAP.2018.2863248
– ident: ref37
  doi: 10.1109/29.32276
– ident: ref6
  doi: 10.1109/TEMC.1968.302963
SSID ssj0001722002
Score 2.3445003
Snippet An unconditionally stable finite-difference time-domain (FDTD) algorithm is proposed to predict and understand the complex response in strain-mediated...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 5
SubjectTerms Acoustic waves
Acoustics
Algorithms
Antennas
Computer simulation
electrodynamics
Far fields
Ferromagnetic resonance
Ferromagnetism
finite-difference time-domain (FDTD) methods
Magnetic domains
Magnetic resonance
Magnetoacoustic effects
magnetoelastic
Magnetostriction
Mathematical model
Maxwell's equations
micromagnetics
Multiferroic materials
multiphysics
Newton Theory
Strain analysis
thin films
unconditionally stable methods
Wave propagation
Title Modeling of Multiple Dynamics in the Radiation of Bulk Acoustic Wave Antennas
URI https://ieeexplore.ieee.org/document/8932447
https://www.proquest.com/docview/2352193977
Volume 5
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVIEE
  databaseName: IEEE Electronic Library (IEL)
  customDbUrl:
  eissn: 2379-8815
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0001722002
  issn: 2379-8815
  databaseCode: RIE
  dateStart: 20160101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV07T8MwED7RTiy8EYWCPLBB2sRJY3ssj6pCCgMCwRb5cZEQKEW0ZeDXYztuEQ8hlCXDWbLu7HzfXe4BcCxwEGNVqYgPTBxlSqWRrASNTKyNFDxh6B3F4jof32VXD4OHFThd1sIgok8-w5579f_yzUTPXaisb7HVohFrQYvxvKnV-oynMOryDRZ1MbHoXxXF-a1L3hI9Kgb2yb9gjx-m8uML7GFltA7FYkNNNslTbz5TPf3-rVfjf3e8AWuBX5JhcyA2YQXrLVgPXJOEmzzdhsINQXOl6GRSkSJkFZKLZj79lDzWxDJDcuM6FzjTOamz-fMTGeqJn_9F7uUbkqFLgK_ldAfuRpe35-MojFaItNXFLMqw4jpmMs8ZWgQXzpNK0WSGasaFpg63TMq5Rp0onqZU8hy1rGQiU8oxSXehXU9q3AOSsUrmgssKqbHsjiomeaZMTAUKZelWB5KF0ksd-o678RfPpfc_YlF6Q5XOUGUwVAdOlmtemq4bf0pvO80vJYPSO9Bd2LYMF3NaUks4LWe1rHf_91UHsEqdS-2jLF1oz17neGh5x0wd-QP3AaRD1ME
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT9tAEB5RemgvQEmrhuceuLUO9npt7x5DAIWAOVSJ4GbtYywhkFORhAO_nt31JhWlqpAvPsxKq5ldf9-M5wFwJDCLsa5VxDMTR0ypNJK1oJGJtZGCJwV6R7G8zocTNrrNbtfg56oWBhF98hn23Kv_l2-meuFCZccWWy0aFR_gY8YYy9pqrT8RlYK6jINlZUwsjkdlORi79C3RoyKzT_4Kffw4lTffYA8s55tQLrfU5pPc9xZz1dPPf3VrfO-et2AjMEzSb4_EF1jDZhs2A9sk4S7POlC6MWiuGJ1Ma1KGvEJy2k6on5G7hlhuSH653gXOeE7qZPFwT_p66ieAkRv5hKTvUuAbOfsKk_Oz8WAYheEKkba6mEcMa67jQuZ5gRbDhfOlUjTMUF1woalDLpNyrlEniqcplTxHLWuZyJRyTNJvsN5MG_wOhBW1zAWXNVJj-R1VheRMmZgKFMoSri4kS6VXOnQedwMwHirvgcSi8oaqnKGqYKgu_Fit-d323fivdMdpfiUZlN6FvaVtq3A1ZxW1lNOyVst7d_696hA-DcflVXV1cX25C5-pc7B9zGUP1uePC9y3LGSuDvzhewHy1tgO
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=Modeling+of+Multiple+Dynamics+in+the+Radiation+of+Bulk+Acoustic+Wave+Antennas&rft.jtitle=IEEE+journal+on+multiscale+and+multiphysics+computational+techniques&rft.au=Yao%2C+Zhi&rft.au=Tiwari%2C+Sidhant&rft.au=Lu%2C+Ting&rft.au=Rivera%2C+Jesse&rft.date=2020&rft.pub=IEEE&rft.eissn=2379-8815&rft.volume=5&rft.spage=5&rft.epage=18&rft_id=info:doi/10.1109%2FJMMCT.2019.2959596&rft.externalDocID=8932447
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