双频微型贴片天线的h-mrtd模拟 新的双频双极化开槽微带天线的设计方法 外文翻译-参考

外文翻译毕业设计题目GPS抗干扰天线技术多频带高增益微带天线单元的仿真与设计原文1HMRTDSIMULATIONOFDUALFREQUENCYMINIATUREPATCHANTENNA译文1双频微型贴片天线的HMRTD模拟原文2ANOVELMETHODFORDESIGNINGDUALFREQUENCYSLOTPATCHANTENNASWITHTWOPOLARIZATIONS译文2新的双频双极化开槽微带天线的设计方法HMRTDSIMULATIONOFDUALFREQUENCYMINIATUREPATCHANTENNAYUWENGE1,2,ZHONGXIANXIN1,LIXIAOYI1,CHENSHUAI11THEKEYLABFOROPTOELECTRONICTECHNOLOGY2BASICLOGISTICALENGINEERINGUNIVERSITY,CHONGQING400016,CHINAABSTRACTANOVELMEMSDUALBANDPATCHANTENNAISDESIGNEDUSINGSLOTLOADEDANDSHORTCIRCUITEDSIZEREDUCTIONTECHNIQUESBYCONTROLLINGTHESHORTPLANEWIDTH,F10ANDF30,TWORESONANTFREQUENCIES,CANBESIGNIFICANTLYREDUCEDANDTHEFREQUENCYRADIOF30/F10ISTUNABLEINTHERANGE17A123THEHAARWAVELETBASEDMULTIRESOLUTIONTIMEDOMAINHMRTDISUSEDFORMODELINGANDANALYZINGTHEANTENNAFORTHEFIRSTTIMEINADDITION,THEMATHEMATICALFORMULAEAREEXTENDEDTOANINHOMOGENOUSMEDIANUMERICALSIMULATIONRESULTSARECOMPAREDTOTHOSEACHIEVEDUSINGTHECONVENTIONAL3DFINITEDIFFERENCETIMEDOMAINFDTDMETHODANDMEASUREDITHASBEENDEMONSTRATEDTHAT,WITHTHISTECHNIQUE,SPACEDISCRETIZATIONWITHONLYAFEWCELLSPERWAVELENGTHGIVESACCURATERESULTS,LEADINGTOAREDUCTIONOFBOTHMEMORYREQUIREMENTSANDCOMPUTATIONTIMEKEYWORDSDUALFREQUENCYANTENNAHMRTDMETHODFDTDMETHODMEMSUPMLABSORBINGBOUNDARYCONDITIONS1INTRODUCTION1RECENTLY,PATCHANTENNARESEARCHHASFOCUSEDONREDUCINGTHESIZEOFTHEPATCH,WHICHISIMPORTANTINMANYCOMMERCIALANDMILITARYAPPLICATIONSITHASBEENSHOWNTHATTHERESONANTFREQUENCYOFAMICROSTRIPANTENNACANBESIGNIFICANTLYREDUCEDBYINTRODUCINGASHORTCIRCUITEDPLANEORAPARTLYSHORTCIRCUITEDPLANEWHERETHEELECTRICFIELDOFTHERESONANTMODEISZERO13,ORASHORTPINNEARTHEFEEDPROBE4USINGTWOSTACKEDSHORTCIRCUITEDPATCHES,DUALFREQUENCYOPERATIONHASBEENOBTAINED5HOWEVER,THEUSEOFASTACKEDGEOMETRYLEADSTOINCREASESINTHETHICKNESSANDCOMPLEXITYOFTHEPATCHINTHISPAPER,WEDEMONSTRATETHATBYSHORTCIRCUITINGTHEZEROPOTENTIALPLANEOFASLOTTEDPATCHEXCITEDWITHADOMINANTMODETM10,THERESONANTFREQUENCIES,F10ANDF30,OFTHETWOOPERATINGMODESCANBEAPPROXIMATELYHALVEDANDCANEVENBESIGNIFICANTLYREDUCEDBYDECREASINGTHESHORTEDPLANEWIDTHTHISINDICATESTHATALARGEREDUCTIONINANTENNASIZECANBEOBTAINEDBYUSINGTHEPROPOSEDDESIGN,ASCOMPAREDTOTHATOFAREGULARSLOTLOADEDPATCHTHEFINITEDIFFERENCETIMEDOMAINFDTDMETHOD6ISWIDELYUSEDFORSOLVINGPROBLEMSRELATEDTOELECTROMAGNETISMHOWEVER,THERESTILLEXISTMANYRESTRICTIVEFACTORS,SUCHASMEMORYSHORTAGEANDCPUTIME,ETCWEFIRSTADOPTEDTHEMETHODOFTHEHAARWAVELETBASEDMULTIRESOLUTIONTIMEDOMAINHMRTD79WITHCOMPACTLYSUPPORTEDSCALINGFUNCTIONFORAFULLTHREEDIMENSIONAL3DWAVETOYEESSTAGGEREDCELLTOANALYZEANDSIMULATETHEDUALFREQUENCYMICROSTRIPANTENNATHEMAJORADVANTAGEOFTHEMRTDALGORITHMSISTHEIRCAPABILITYTODEVELOPREALTIMETIMEANDSPACEADAPTIVEGRIDSTHROUGHTHEEFFICIENTTHRESHOLDINGOFTHEWAVELETCOEFFICIENTSUSINGTHISTECHNIQUE,SPACEDISCRETIZATIONWITHONLYAFEWCELLSPERWAVELENGTHGIVESACCURATERESULTS,LEADINGTOAREDUCTIONOFBOTHMEMORYREQUIREMENTANDCOMPUTATIONTIMEASSOCIATEDWITHPRACTICALMODEL,AUNIAXIALPERFECTLYMATCHEDLAYERUPMLABSORBINGBOUNDARYCONDITIONS10WASDEVELOPED,ATHREEDIMENSIONALFORMULATIONOFTHEDISCRETEDIFFERENCEEQUATIONSARISINGFROMTHEMAXWELLSSYSTEMISFIRSTEXTENDEDTOANINHOMOGENOUSMEDIUM,ITISAPPLIEDTOTHEANALYSISOFDUALFREQUENCYMINIATUREPATCHANTENNA2DUALFREQUENCYSLOTLOADEDPATCHANTENNA21DESIGNOFSLOTLOADEDPATCHANTENNATHELAYOUTOFTHESLOTLOADEDPATCHANTENNADESIGNEDINTHISPAPERISSHOWNINFIG1ASINGLESLOTWITHDIMENSIONSLWISCUTINARECTANGULARPATCHWITHDIMENSIONSABWITHASHORTCIRCUITEDPLANEOFWIDTHPLACEDATITSOTHERSIDETHEPARAMETERSOFTHEANTENNAAREA38MM,B25MM,L36MM,W1MM,D2MM,H3MM,R1MM,RESPECTIVELYOWINGTOBEINGCOMPATIBLEWITHSTANDARDICTECHNOLOGY,ANDPRONETOINTEGRATIONWITHOTHERCOMPONENTS,SILICONWAFERR117WASSELECTEDASALAYEROFMICROSTRIPSUBSTRATEBETWEENTHEGROUNDPLATEANDTHEWAFERTHEREISALAYEROFFOAMR107,WHICHCOULDSUPPRESSSURFACEWAVEINDUCEDINTHEWAFERSUBSTRATE,ASARESULT,THEEFFICIENCYANDTHEBANDWIDTHOFTHEANTENNAWEREINCREASED,ANDTHERADIATIONPATTERNIMPROVEDFIG1GEOMETRYOFDUALBANDSLOTLOADEDMICROSTRIPANTENNA22MEASUREDRESULTSTHEPARAMETERSOFTHESLOTANTENNAARESELECTEDASABOVEMENTIONEDTHEMEASUREMENTSCARRIEDOUTONANAGILENT8720CVECTORNETWORKANALYZERITISTHENFOUNDTHAT,BYCONTROLLINGTHESHORTEDPLANEWIDTH,BOTHTHETM10ANDTM30MODESARESTRONGLYPERTURBEDFIG2SHOWSTYPICALRESULTSOFTHEMEASUREDRETURNLOSSFORTHECASESWITHS/A1,025,AND01REGARDINGTHERESULTSSHOWNINFIG2,ITCANBESEENTHATTHEPERTURBEDTM10ANDTM30MODESAREEXCITEDWITHGOODIMPEDANCEMATCHINGHOWEVER,WHENS/A01,THERENOFEEDPOINTCANBEFOUNDFOREXCITINGTHETWOFREQUENCIESWITHGOODIMPEDANCEMATCHINGTHISINDICATESTHATTHEREARELIMITATIONSTOTHEPRESENTDUALBANDDESIGNITCANBESEENTHATTHEOBTAINEDFREQUENCYRATIOF30/F10OFTHETWOFREQUENCIESFORPRESENTDESIGNVARIESINTHERANGE17A123ONTHEOTHERHAND,FORTHECASES/A01,SHOWNINFIG2,THEFREQUENCYF10OCCURRINGAT1562GHZISA1031TIMESTHAT5038GHZFORAREGULARHALFWAVELENGTHPATCHWITHTHESAMEPATCHSIZEINOTHERWORDS,THESIZEOFTHEDESIGNEDANTENNAINTHISPAPERISMUCHSMALLERTHANREGULARHALFWAVELENGTHPATCHANTENNAFIG2MEASUREDRETURNLOSSFORDIFFERENTSHORTEDPLANEWIDTHS33DHMRTDALGORITHM31NUMERICALFORMULATIONSOFTHE3DHMRTDMETHODMAXWELLSCURLEQUATIONSINANISOTROPICMEDIUMHTEET,1WHEREISPERMITTIVITY,ISPERMEABILITY,ISELECTRICCONDUCTIVITYEACHFIELDCOMPONENTISEXPANDEDINTOSCALINGFUNCTIONSU/SSSU,2ANDWAVELETS/USSU,3WHERE,1,0,10,SSSOTHERELSEAND221SSSEXPANSIONANDTESTINGISPERFORMEDFOREACHSPATIALCOORDINATESX,Y,ZWITHCORRESPONDINGDISCRETIZATIONINDICESUK,L,M,ASWELLASFORTIMEWITHRECTANGULARPULSEHNTINCOMPACTNOTATIONS,THEXDIRECTEDELECTRICFIELDCOMPONENTINTHESTAGGEREDYEESGRIDOFSIZEX,Y,ZISREPRESENTEDAS1/2,1/2,XXKLMKLMNNKLMNEXYZTEXYZHT,4WHEREXKX,YLY,ZMZ,TNTTHESUMMATIONOVERINCLUDESEIGHTTERMSSTEMMINGFROMALLTHEPERMUTATIONSOFSCALINGFUNCTIONSANDWAVELETS,THEREPRESENTATIONOFTHEOTHERFIELDCOMPONENTSISEASILYDERIVEDTHROUGHPERMUTATIONOFTHEINDICESANDFOLLOWSTHESAMERULEASFORSTANDARDFDTDSCHEMEINSERTINGTHEABOVEEXPRESSIONSINTOTHEDIFFERENCEEQUATIONANDPERFORMINGAGALERKINTESTPROCEDURE12LEADSTOTHEFOLLOWINGEXPRESSIONSFORTHEELECTRICFIELDWITHINEACHCELLK,L,M1110112011011102310001001100ZZYYXXXHHHHTEEEYZ,5WHERE0,1,2,3DENOTES,RESPECTIVELY,U,U1/2,U1/2,U1FOREACHUK,L,M,NINFORMULA5,THEREARETHREEDIFFERENTXVALUESWITHINONETIMESTEP,THISBRINGSABOUTINCONVENIENCEFORPROGRAMDESIGNINORDERTOAVOIDTHESHORTCOMING,WECANADOPTAPPROXIMATIONASFOLLOWS11003100110012XXXEEE,6SIMILAREXPRESSIONSAREOBTAINEDFORTHEOTHERFIELDCOMPONENTS32ABSORBINGBOUNDARYCONDITIONTHEFIELDCOMPUTATIONDOMAINMUSTBELIMITEDINSIZEBECAUSETHECOMPUTERCANNOTSTOREANUNLIMITEDAMOUNTOFDATATHECOMPUTATIONDOMAINMUSTBELARGEENOUGHTOENCLOSETHESTRUCTUREOFINTERESTINTHISPAPER,WEADOPTEDUNIAXIALPERFECTLYMATCHEDLAYERUPMLABSORBINGBOUNDARYCONDITIONSCONSIDERONEDIMENSIONWAVEEQUATIONPROPAGATEDALONGZDIRECTION10XXEEZVTA07WHERE/,VISTHEPHASEVELOCITYINTHECONCERNEDVOLUMEBECAUSETHECONDUCTIVITYISPROJECTEDINCOMPUTATIONDOMAIN,ITWILLRESULTINNUMERICDISPERSIONIFWEUSEDIRECTLYDISCRETEAPPROXIMATIONFORFORMULA7,LET,TXXEZTEZTEA0THEN10XEZVT,ITSFINITEDIFFERENCEFORMIS112KKKXXXIVTENENBIENIZ,9THEDIFFERENCEFORMOFFORMULA7IS1212KTKTKXXXIVTENEENEBIENIZWHERE1/2XBIXIXXDARETHEMRTDCOEFFICIENTSTHEUPMLMATERIALPARAMETERSARECHOSENTOBE,0XYZFORTHEINNERCOMPUTATIONREGIONTHEMAXIMUMVALUEOFATTHEENDOFTHEUPMLREGIONISCHOSENTOBEMAX1/150PI,WHEREA2ISTHECELLDIMENSIONPERPENDICULARTOTHEUMPLINTERFACETOTHEREGULARREGIONTHEUMPLREGIONISBACKEDBYAPERFECTELECTRICCONDUCTORWALLIMPLEMENTEDUSINGTHEMIRRORPRINCIPLE4COMPUTEDRESULTSINMICROWAVECIRCUITANALYSIS,GAUSSIMPULSEISGENERALLYSELECTEDASANEXCITATIONFORSMOOTHNESSINTIMEDOMAINANDEASYSPECTRUMWIDTHSETTINGTHEWIDTHOFGAUSSPULSEIST18PS,ASSUMETHATTHETIMEDELAYT03T54PS,THERESPONSEVALUEOFTHEFREQUENCYDOMAINCANBECALCULATEDBYFOURIERTRANSFORMINGTHETIMEDOMAINVALUETHECIRCLEWAVELOSSESOFTHEANTENNACOMPUTEDARESHOWNINFIG3ANDFIG4FORS/A1ANDS/A025,RESPECTIVELYTHECOMPUTEDCURVESBASEDCOMPUTATIONDOMAIN10012060ANDXY015MM,Z0015MMFROMFIG3ANDFIG4,WECANFINDTHECOMPUTEDRESULTSBYUSINGFDTDMETHOD,ANDHMRTDMETHODAREINGOODAGREEMENTWITHMEASUREDRESULTSTHEDRIFTSBETWEENTHEMENSUREDVALUEANDTHECOMPUTEDVALUEBYUSINGFDTDANDHMRTDAREABOUT2AND25INFINEGRID,RESPECTIVELYTHELENGTHOFTHENOVELPATCHANTENNAISLESSTHAN1/7WAVELENGTH,THEEFFICIENCYTHISNOVELANTENNAARRIVEAT70THECHARACTERISTICPARAMETERSSUCHASEFFECTIVEDIELECTRICCONSTANT,THECHARACTERISTICIMPEDANCEINSPECTRUMDOMAINCOULDBEWORKEDOUTBYFOURIERTRANSFORMFIG3COMPUTEDRETURNLOSSFORS/A1FIG4COMPUTEDRETURNLOSSFORS/A025THESESIMULATIONSWEREPERFORMEDBYXFDTD,THEINFORMATIONABOUTDUALFREQUENCYANTENNASIMULATIONSISSHOWNINTAB1WECANFINDWHENUSINGDIFFERENTSPACECELLSIZES,THEREWILLBEDIFFERENTSIMULATIONRESULTSFORFDTDMETHOD,ALTHOUGHTIMESTEPSELECTEDSATISFIEDTHECOURANTFRIEDRICHLEVYCFLCONDITION13,THEACCURACYOFTHESIMULATIONRESULTSAPPEARSDIVERSEWHENWEADOPTFINEGRIDANDCOARSEGRID,RESPECTIVELY,ITMAKESCLEARTHENUMERICERRORSARRIVEAT12INCOARSEGRIDCASEFORFDTDMETHODITMANIFESTSNOTONLYTIMESTEPBUTALSOTHESIZEOFSPACESTEPSAFFECTGREATLYTHENUMERICERRORSOFFDTDMETHODIFTHESPACESTEPSCHANGEMOREANDMORELARGER,ITSNUMERICPRECISIONCANNOTBEASSUREDFORHMRTDMETHOD,BECAUSEOFTHECAPABILITYOFTHEMRTDALGORITHMSTODEVELOPREALTIMEANDSPACEADAPTIVEGRIDSTHROUGHTHEEFFICIENTTHRESHOLDINGOFTHEWAVELETCOEFFICIENTSSPACEDISCRETIZATIONWITHONLYAFEWCELLSPERWAVELENGTHGIVESACCURATERESULTS,THEINFLUENCEOFTHESPACESTEPSISSMALLERTHANFDTDMETHOD,BUTTHEREARELARGERNUMERICERRORSCOMPAREDWITHFDTDMETHODINFINEGRIDCASEALTHOUGHTHETIMESTEPOFFDTDMETHODISNEARLY3TIMESTHATOFHMRTDMETHOD,THECPUTIMEISQUITEAPPROXIMATIONTHISFACTISPROVEDTOBEASERIOUSDRAWBACKTHATTHEADDITIONOFWAVELETSDOESNOTIMPROVESIGNIFICANTLYTHENUMERICACCURACYOFTHEFDTDSCHEMEITISAHOTANDHIGHLIGHTEDNOWTOSTUDYHOWTOIMPROVETHENUMERICACCURACYOFTHEHMRTDMETHODTAB1INFORMATIONONTHEDUALFREQUENCYANTENNANOOFYEESCELLCONDITIONSA4A3A5A3A7A8A9A6A5A3A11A10A10A13A11A12A10A13A15A10A14A16A10A17A10A18A11A19A20A21A10A17A10A22A11A19A20A21A23A24A24A25A24A26A27A28A29A12A27A29A22A17A19A27A30A31A32A16A33A34A35A26A21A285300SA19A22A36A10A21A12A10A13A12A36A13A11A12A14A16A10A17A11A22A37A19A20A21A10A17A10A37A18A19A20A21A23A24A24A25A24A26A27A28A29A11A12A27A29A36A17A19A27A30A31A32A16A33A34A35A26A21A28A22A18A10A10A12A10A10A10A21A19A13A15A13A22A14A16A38A38A38A38A10A17A11A20A21A23A24A24A25A24A26A27A28A38A38A38A38A29A19A17A39A27A30A31A32A16A33A34A35A26A21A28A38A38A38A38A11A10A10A105CONCLUSIONADUALFREQUENCYMINIATUREPATCHANTENNAISPRESENTEDINTHISPAPER,ITPERFORMSEXCELLENTLYANDESPECIALLYINMINIATURIZATIONHMRTDMETHODWASUSEDTOMODELTHESTRUCTUREOFTHEANTENNATHEALGORITHMOFTHEMETHODISREALTIMETIMEANDSPACEADAPTIVEGRIDSTHROUGHTHEEFFICIENTTHRESHOLDINGOFTHEWAVELETCOEFFICIENTSTHUS,SPACEDISCRETIZATIONWITHONLYAFEWCELLSPERWAVELENGTHGIVESACCURATERESULTS,LEADINGTOAREDUCTIONOFBOTHMEMORYREQUIREMENTANDCOMPUTATIONTIMETHEFACTTHATTHEREISAGOODAGREEMENTBETWEENTHEHMRTDCOMPUTEDVALUESANDTHEMEASUREDRESULTSORFDTDCOMPUTEDVALUESMANIFESTSTHATTHE3DHMRTDMETHODISMOREEFFICIENTTHANTHECONVENTIONALFDTDMETHODBUTYET,THERESTILLEXISTSOMEPROBLEMS,SUCHASTHEACCURACYOFNUMERICSIMULATIONANDTHEFARFIELDRADIATIONPATTERNSATTHETWOOPERATINGFREQUENCIESETAL,WHICHNEEDTOBESOLVED,THEYWILLBEDISCUSSEDINOURFUTUREPAPERSA40A41A42A431YUWG,ZHONGXX,WUZHZH,ETALNOVELSTACKSHORTEDMICROSTRIPBLUETOOTHANTENNAJOPTICSANDPRECISIONENGINEERING,2003,11439423992LIUZHF,KOOIPSH,ETALAMETHODFORDESIGNINGBROADBANDMICROSTRIPANTENNAINMULTILAYEREDPLANARSTRUCTURESJIEEETRANSANTENNASANDPROPAGAT,1999,4791416214203YUWG,ZHONGXX,WUZHZH,ETALNUMERICALANALYSISOFMICROMACHINEPATCHANTENNAUSINGFDTDTECHNIQUECTHEINTERNATIONALCOMPUTERSCIENCECONFERENCE2003ACTIVEMEDIATECHNOLOGYICAMT2003CHONGQING,CHINA2003,29231,34623514WUZHZH,ZHONGXX,LIXY,ETALMULTIPLAYER2SHORTEDMICROMACHINEDBLUETOOTHANTENNAJOPTICSANDPRECISIONENGINEERING2001,9657225765ZAIDL,KOSSIAVASG,ETALDUAL2FREQUENCYANDBROAD2BANDANTENNASWITHSTACKEDQUARTERWAVELENGTHELEMENTSJIEEETRANS,1999,AP247465426606YEEKSNUMERICALSOLUTIONOFINITIALBOUNDARYVALUEPROBLEMSINVOLVINGMAXWELLA44SEQUATIONINISOTROPICMEDIAJIEEETRANSANTENNASPROPAGATION,1966RUMPHOLZM,KATEHILPBMRTDNEWTIME2DOMAINSSCHEMESBASEDONMULTIRESOLUTIONANALYSISJIEEETRANSMICROWAVETHEORYTECH,1996,44455525718TENTZERISE,ROBERTSONR,CANGELLARISA,ETALSPACEANDTIMEADAPTIVEGRIDDINGUSINGMRTDCPROCMTTS,199733723409TENTZERISE,HARVEYJ,KATEHILPBTIMEADAPTIVETIMEDOMAINTECHNIQUESFORTHEDESIGNOFMICROWAVECIRCUITSJIEEEMICROWAVEANDGUIDEDWAVELETTERS,1999,939629810GEDNEYSDANANISOTROPICPERFECTLYMATCHEDLAYERABSORBINGMEDIAFORTHETRUNCATIONOFFDTDLATTICESJIEEETRANSANTENNASANDPROPAGATION,1996,441216302163911MACS,BIFFIGG,PIAZZESLP,ETALDUAL2BANDSLOT2LOADEDPATCHANTENNACIEEPROCMICROWANTENNASPROPAG,1995,1423225223212CHEONGYW,LEEYM,RAKH,ETALWAVELETGALERKINSCHEMEOFTIMEDEPENDENTINHOMOGENEOUSELECTROMAGNETICPROBLEMSJIEEEMICROWAVEGUIDEDWAVELETT,1999,98297229913TAFLOVEA,BRODWINME,NUMERICALSOLUTIONOFSTEADYSTATEELECTROMAGNETICSCATTERINGPROBLEMUSINGTHETIMEDEPENDENTMAXWELLSEQUATIONSJIEEETRANSMTT,1975,2386232630作者简介余文革1967,男,四川渠县人,重庆大学光电工程学院博士研究生,主要研究方向为MEMS天线及电磁场数值分析钟先信1935,男,重庆人,重庆大学光电工程学院教授,博士生导师,主要研究方向为精密机械及MEMS。双频微型贴片天线的HMRTD模拟余文革A45A46A47，钟先信A45，李小毅A45，陈帅A45（1重庆大学光电技术及系统教育部重点实验室，重庆400044；2后勤工程学院基础部，重庆400016）摘要利用槽隙加截及短接技术设计了双频小型微带天线。通过调节短接面宽度，两谐振频率FA45A48及FA49A48可明显降低，天线尺寸显著减小，而且频比（FA49A48/FA45A48）的可调G14551G3272为1G26G7942G22。G20330G8437G4570G989G13512G43G16G48G53G55G39（G43G68G68G85G16G58G68G89G72G79G72G87G16G37G68G86G72G71G48G88G79G87G76G85G72G86G82G79G88G87G76G82G81G55G76G80G72G39G82G80G68G76G81）G1852G8886分析方G8873G5224用G1122G16825天线的G5326G8181G2656分析，G5194G4570G43G16G48G53G55G39数值计G12651G1856G5347G6524G5203G2052了G19762G3355G2260G7389G13803G4198G17148G1025。数值G8181G6323G13479G7536G2528G1268统G41G39G55G39（G41G76G81G76G87G72G39G76FFG72G85G72G81G70G72G55G76G80G72G39G82G80G68G76G81）方G8873及实验G13479G7536G17839G15904了比G17751。G13479G7536G15932明，G8611G1022G8886G19283G2494G19668G2474G17751G4581的G12366G19400G12175G6967G13605G7696，G989G13512G43G16G48G53G55G39G7114G3507G1852G8886分析方G8873G1427G14033G17751精G11842G3332G8181G6323微机械微带天线，G5194G14033G7389G6940G3332减G4581G38G51G56计G12651G7114G19400及节G11477计G12651机G1881G4396。G1863G19202G16801双频天线；G43G16G48G53G55G39方G8873；G41G39G55G39方G8873；微机械；G56G51G48G47G2572G6922G17805G11040G7477G1226G1025G3282分G12879G2507G55G49G272G22文G10498G7643G16794G11733G361G5353G16340A45G7380G17829，G17160G10267天线的研究G5062G13475G13870G9978G1122减小G17160G10267的尺寸，G17837G4557G1122G2842G1006G2656G1903事G5224用G19762常重要。据显示，在共振G8181电场为0的G3332方G5353G17839一G1022短路面或一G1022部分短路面A50A45A51A49A52，或者在反馈点附G17829G5353G17839一G1022短针A50A53A52，G17837样就可以显著减小微带天线的谐振频率。使用双栈短路G17160G10267可以获得双频解A50A54A52。然而，使用堆栈G4396储器几何学会导致G17160G10267厚度G2656复杂度的增加。在本文G1025，我们证明，通过短路开槽G17160G10267潜在零电位面，G17837种开槽G17160G10267是在一种震荡G8181G5347下（G55G48A45A48）被激励，在两种操作G8181G5347下，通过减小短路面的宽度可以使谐振频率FA45A48G2656FA49A48降低G17829一半，甚至降至更小。G17837G15932明，与通常的槽载G17160G10267相比，通过预先设计可以显著减小天线的尺寸。G41G39G55G39（G55HG72FG76G81G76G87G72G16G71G76FFG72G85G72G81G70G72G87G76G80G72G16G71G82G80G68G76G81）被G5203泛的G5224用G1122解决与电磁场G7389G1863的问题G1025。然而，G17837种方G8873依然G4396在很多局限性，例如计G12651机G1881G4396缺乏G2656G38G51G56G7114G19400，比如，我们G20330先通过了G43G16G48G55G53G55G39方G8873与紧支撑缩放的G1852G989G13512YG72G72交错单元G8886来分析G2656仿真双频微带天线。G48G53G55G39G12651G8873的主要优点是它们通过G7389G6940的小G8886参数阀值来G5326立实G7114G2656自适G5224G13605G7696。使用G17837种技术，G8611G1022G8886G19283G2494G19668G2474G17751G4581的G12366G19400G12175G6967G13605G7696，就会产生精G11842的G13479G7536，G5194G14033G7389G6940G3332减G4581G38G51G56计G12651G7114G19400及节G11477计G12651机G1881G4396。与实际G8181型相联系，一G1022可以G2572G6922G17805G11040G7477G122610的G56G48G51G47（UNIAXIALPERFECTLYMATCHEDLAYER）A55A56A57A58就产生了。由麦克斯韦系统定理得G2052的G12175G6967微分方程G989G13512G1856G5347G20330先G5224用G1122G19762G3355G2260介G17148G1025，它被G5224用G1122双频微型G17160G10267天线的分析G1025。2双频槽载G17160G10267天线21槽载G17160G10267天线的设计在本篇论文G1025，槽载G17160G10267天线的设计如G32821所示。一G1022尺寸为G47G58的单槽被分割成一G1022矩形的G17160G10267，G7389一G1022尺寸为G68B的短接面在它的另一面。G17837G1022天线的参数各自分别为是G68G22G27G80G80，B25G80G80，G47G226G80G80，G581G80G80，G712G80G80，HG22G80G80，G851G80G80。为了与G7643准的集成电路技术相一致G5194且易G1122G2656其他元G1226的集成，硅元R117被作为微带基底。在接G3332板G2656硅元G1055G19400G7389一G4630G8885G8831型G7460G7021R107。G17837G4630G7460G7021可以G6245G2058由基底产生的G15932面G8886，G3252G8504，天线的G7389G6940性G2656带宽就增加了G5194且G6925G2904了G17764G4568形G5347。G32821双频槽载微带天线的几何G328222G8991G18339G13479G7536槽载天线参数的G17885G6333如G990面所示。G8991G18339是在AGILENT8720C向G18339G13605G13488分析器G990G17839G15904的。可以G2469G10628，通过G6523G2058短接面的宽度，TM10G2656TM30G8181G5347G18129被G5390G9884的G5190G6212。G32822显示了在S/A分别为1，025G265601G5785G1929下G8991G18339G2052的G1868型的G3250G8886G6451G3845G13479G7536。就G32822所显示的G13479G7536而G16340，可以G11487G1998G5190G6212的TM10G2656TM30G8181G5347G18129被激励了，G5194且G1867G7389G14403G3921的G19471G6251G2317G18209。然而，G5415S/G68G72801G7114G15G6226G993G2052馈点来激励两种频率G15G5194且G1867G7389G14403G3921的G19471G6251G2317G18209。G17837G15932明，G4557G1122G11458G2081双频天线的设计G7389一G1135限G2058。可以G11487G1998，G4557G11458G2081设计的两G1022频率的频率比（FA59A60/FA61A60）的G2476G2282G14551G3272为1G26G7942G22。另一方面，在G86/G6801的G5785G1929下，如G32822所示，在1562G42G43G93下频率FA62A63是通常半G8886G17160G10267（相G2528的G17160G10267大小）频率（50G22G27G42G43G93）的0G221G1505。G6454G2489G16817G16840，本文G1025所设计的天线的大小比通常半G8886G17160G10267天线的尺寸更小。G32822G993G2528短接面宽度G8991G18339的G3250G8886G6451G38453G989G13512HMRTDG12651G8873G221G989G13512HMRTD方G8873的数值依据在G2528性介G17148G1025的麦克斯韦方程G13464HTEET（1）为介电常数，为磁导率，为电导率。G8611G1022场G18339被G6205G4649G2052尺度G2001数U/SSSU（2）G5194且小G8886为/USSU（3）其G10251,0,10,SSSOTHERELSE，221SSS。G6205G4649G2656G8991G16809是在G8611一G1022G12366G19400G3364G7643SX,Y,Z（相G5224的G12175G6967G6363数为UK,L,M）G2656矩形G7114G19400G14045G1926HNTG990G17839G15904的。在紧G1957G7643G16772G1025，在大小为X,Y,Z的交G2461YEEG13605G7696G1025的X方向电场分G18339为1/2,1/2,XXKLMKLMNNKLMNEXYZTEXYZHT（4）其G1025XKX,YLY,ZMZ,TNT。的计G12651G5647G2656G2265G63368G1022方面，G9097G11434了缩放比例G2001数G2656小G8886的所G7389G6502G2027G13464G2524,。G4557G1122其他场分G18339的G15932示可以G4493易G3332G1186参数的G6502G2027G13464G2524得G2052，G5194G17993G5502与G7643准FDTD方G7708相G2528的G16280G2029。G4570G990G5347G1207G1849G2052G5058分方程，G4448成GALERKING8991G16809过程12，可得下面G1863G1122电场在G8611一G1022元K,L,M的G15932G17810G53471110112011011102310001001100ZZYYXXXHHHHTEEEYZ（5）其G10250,1,2,3分别G1207G15932G12538G2507U,U1/2,U1/2,U1，其G1025，UK,L,M,N。在G1856G5347（5）G1025，在一G1022G19466