A Geometrically-Appropriate Cavity Model for a Spherical Inverted-F Antenna (SIFA)
- 格式:pdf
- 大小:1.14 MB
- 文档页数:7
2404IEEETRANSACTIONSONANTENNASANDPROPAGATION,VOL.61,NO.5,MAY2013
AGeometrically-AppropriateCavityModelfora
SphericalInverted-FAntenna(SIFA)
DavidL.Rolando,StudentMember,IEEE,andGregoryH.Huff,SeniorMember,IEEE
Abstract—Acavitymodelforasphericalinverted-Fantenna(SIFA)isproposedusingacustomcurvilinearcoordinatesystem.Thecoordinatetransformationmapsthesphericalstructureintoanequivalentrectangulartopologytowhichconventionalcavitymethodprocedurescanbeapplied.Thewaveequationunderthistransformationissolvedtopredictthemodalcharacteristics,inputimpedance,andradiationbehavioroftheantenna.Analyti-cally-obtainedresultsarecomparedtosimulatedmodelsandthemeasuredresultsfromonefabricatedmodel.
IndexTerms—Cavitymodel,conformalantenna,patchantenna,sphericalinverted-Fantenna(SIFA).
I.INTRODUCTIONTHECAVITYMODELforplanarmicrostrippatchan-
tennas[1]–[5]hasbeenappliedtoawiderangeof
conformalantennas,includingthosewithcylindrical[6]–[9],
spherical[9]–[14],andconical[15]geometries.Cavityanalysis
providesphysicalinsightintotheoperationoftheseantennas
andenablesaccuratepredictionofmodalcharacteristics,input
impedance,andradiationbehavior.
Well-definedsolutionscantypicallybeobtainedfromcavity
analysisusingCartesianorcommonnon-Euclideancoordinate
systemssuchascylindricalandspherical.Thegeometryof
thesphericalinverted-Fantenna(SIFA)[16],[17]presents
aslightlydifferentopportunitytoapplythecavitymodel.In
itsmostbasicconceptualform,theSIFAcomprisesaplanar
inverted-Fantenna(PIFA)conformedontoaquadrantofa
sphereandrecessedintoitsvolume(similarinthisregardto
[8],[10],[11]).Therefore,itislumpedintothebroadcategory
ofconformalmicrostripantennas.Itspatchtopology,however,
doesnotleadtoaseparablesolutionforthewaveequationin
anystandardcoordinatesystem.Theproposedcavityanalysis
fortheSIFAmitigatesthisgeometriccomplexitythrough
acustomcoordinatetransformationthatyieldsaseparable
solutiontothewaveequation.
First,thebasicphysicalmodeloftheSIFAisreviewed.Then,
acustomcurvilinearcoordinatesystemisintroducedtoconve-
nientlydescribetheSIFAcavity.Intermsofthisnewcoordinate
system,thewaveequationissolvedinsidethecavity.Cavity
ManuscriptreceivedApril19,2012;revisedDecember04,2012;acceptedJanuary22,2013.DateofpublicationFebruary11,2013;dateofcurrentversionMay01,2013.Thismaterialisbaseduponworksupportedby,orinpartby,theU.S.ArmyResearchLaboratoryandtheU.S.ArmyResearchOfficeunderagreementnumberW911NF-09-1-0429.TheauthorsarewiththeElectromagneticsandMicrowaveLaboratoryintheDepartmentofElectricalandComputerEngineeringatTexasA&MUniversity,CollegeStation,TX77843-3128USA(web:www.ghhuff.com;e-mail:prof.ghuff@gmail.com).Colorversionsofoneormoreofthefiguresinthispaperareavailableonlineathttp://ieeexplore.ieee.org.DigitalObjectIdentifier
10.1109/TAP.2013.2246533Fig.1.SimulatedmodeloftheSIFAwith(a)generalizedpatchgeometryand(b)canonicalpatchgeometry.
fields,radiationpatterns,andinputimpedancearecomputed.
Theresultsofthecavitymodelarecomparedtosimulationsand
measurements.Finally,abriefdiscussionofthecurrentshort-
comingsinthemodelandpossiblefutureworkarediscussed.
II.SPHERICALINVERTEDF-ANTENNA
AsimulatedmodeloftheSIFAisshowninFig.1alongwith
importantgeometricparameters.Themostgeneralizedgeom-
etryisshowninpart(a)ofthefigure.Theresonantstructure
consistsofametallicpatchconformedontoanoutersphereand
ametallicgroundplaneconformedontoasmallerinnersphere.
Thepatchstructureoccupieslessthanone-quarterofthesur-
faceareaofthesphere.Thegroundplaneisextendedtoinclude
theremainingportionoftheoutersphericalsurface.Asmall
metallicshortingstripconnectsthepatchtothegroundplane.
TheSIFAconsideredinthisworkisfedbyaradially-directed
coaxialprobe.
AsimplifiedversionoftheSIFAgeometry,showninFig.1(b),hasashortingstripthatisthesamewidthasthepatchstruc-
ture(i.e.,).Thisparticulargeometrymostresembles
thestructureofaPIFAandisconsideredinthisworktobe
the“canonical”versionoftheSIFA.Forsimplicity,thecavity
analysisdevelopedhereinisappliedonlytodesignssatisfying
.TableIliststhespecificdimensionsandsubstrate
parametersforthreesuchcanonicalSIFAdesignsreferredto
throughoutthispaper.Theyareofvarioussizesandoperateat
differingresonantfrequencies.
III.CAVITYMODEL
A.SIFACavityandBoundaryConditions
Fig.2(a)showstheproposedgeometryfortheSIFAcavity.
Thegeometryisachievedbyextrudingthetwo-dimensional
patchstructureontheoutersphereradiallyinwardtothe
groundplane.Themetallicpatchandgroundplanearegiven
0018-926X/$31.00©2013IEEEROLANDOANDHUFF:AGEOMETRICALLY-APPROPRIATECAVITYMODELFORASIFA2405
TABLEISIFADESIGNPARAMETERS
Fig.2.(a)ProposedSIFAcavitygeometrywithboundaryconditions.(b)Sim-ulatedelectricfieldundertheSIFApatch.Thequarter-wavevariationofthefieldalongthelengthofthepatchreinforcestheboundaryconditionsofthecavity.