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    UNCLASSIFIED A D 45 09 D E F E N S E O C U M E N T A T I O N E N T E R

    F O R S C I E N T I F I C N D E C H N I C A LN F O R M A T I O N

    C A M E R O NT A T I O N . L E X A N D R I A .IRG IN IA

    UNCLASSIFIED

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    NOTICE:hen governmentorotherdrawings,speci-ficationsor otherdataareused foranypurposeotherthaninconnectionwithadefinitelyrelatedgovernmentprocurementoperation,theU .S .Governmenttherebyincursnoresponsibility,nor anyobligationwhatsoever;and thefactthattheGovern-mentmayhaveformulated,furnished,orinanywaysuppliedthesaiddrawings,specifications,orotherdatai sno ttoheregarded by implicationorother-wiseasin anymanner licensing theholderoranyotherpersonorcorporation,orconveyingany rightsorpermissiontomanufacture,us eorsellanypatented inventionthatmayinanyway berelatedthereto.

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    I O S 1 '':**> :..VIT!1 Hi FIRSTQUARTERLYREPORT2 1June1963to30September1963

    BROADBANDMICROWAVEPOWERLIMITERS

    ContractNObsr-89462ProjectSerialNo.SR-0080302

    Task9637NavyDepartment,BureauofShips

    MICROWAVEASSOCIATES,INC.BURLINGTON,MASSACHUSETTS

    T

    o _ nn^i L * * ^ . - ^

    ti DECS i9ojr ;u :Li\z\\''..TISIA B

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    IIFIRSTQUARTERLYREPORT

    21June1963to30September1963

    .

    L

    BROADBANDMICROWAVEPOWERLIMITERS

    ContractNObsr-89462ProjectSerialNo .SR-0080302

    Task9637NavyDepartment,BureauofShips

    Preparedby:RobertTenenholtz

    Approvedby:M .E.Hines

    MICROWAVEASSOCIATES,INC.BURLINGTON,MASSACHUSETTS

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    TABLEOFCONTENTSPageNo ,

    TITLEPAGETABLEOFCONTENTS iABSTRACT iiPART

    PURPOSEGENERALFACTUALDATA

    1 .heDiodeLimiterConcept2 .emiconductorLimiterDiodes

    (2-a)heVaractorDiode(2-b)hePINDiode

    3 .iodePackageCharacteristics(3-a)eramicPackageDiodes 0(3-b)ntegratedDiodes 1

    4 .heBasicDiodeLimiter 2(4-a)heDiodeLimiterEquivalentircuit2(4-b)iodeLimiterCircuitLossquations 1 4

    5 .heBroadbandLimiterConcept 4(5-a)heLo wPassFilterLimiter5(5-b)heBandPassFilterLimiter0

    CONCLUSIONS 2PARTI I

    PROGRAM FORTHENEXTINTERVAL 3LISTOFILLUSTRATIONS 4

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    ABSTRACTThisreportcontainsresultssecuredduringtheinitialstudy

    phaseofthiscontract. Sectionsaredevotedtodiscussionoftheb a s i cdio delimiterconcept,limiterdio decharacteri sti csandd iodepackag ingconsiderations.

    Alsoincludedisaquant it at ivetreatmentofthe"ideal"diodelimitercircuitanditslimitationsw i t hrespecttothedirectproblemsofconcern.

    Concludingthetechnicalstudypresentedinthisreportisadiscussiononbroadbanddio delimiterdesignscapableofachievingmultioctavebandwidthsbelow5Km candoctavebandwidthsbetweentherangeof5Km cto11Kmc.

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    PARTIPURPOSE

    Thepurposeofthiscontractistodevelopafamilyofbro adbandhighpowerlimiterscoveringtherangeof1Km cto1 1Kmc. Proposeddesigngoalspecificationsfortheselimitersarelistedasfollows:

    FrequencyRange,Km cMaximum OperatingPeakPower,KWMaximumAveragePower,WMaximumPulse Width,^secMaximumSpikeLeakage,ErgsMaximumFlatLeakage,WattsMaximumInsertionLoss,DBT ransmi s s ionLineForm

    ( a ) ( b ) ( c )1-4.5 4-7.5 7-1110 5 110 5 110 1 10.5 0.5 0.30.040 0.040 0.0400.5 1.0 1.0Coax Coax W/G

    c

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    - 2 -GENERALFACTUALDATA

    1 .HEDIODELIMITERCONCEPTTh emicrowavediodelimitercanbebasicallystatedasbeinga

    powersensitivepassiveattenuatorbasedonthenonlinearproperties*o fmicrowavePN-junctioniodes.henlo wpowerlevelsareincident

    uponthelimiterstructure(lessthan1mW),andwithintheratedoperationalfrequencyrange,negligiblelosswillbeencountered.Therefore,thelimiterwillactasasectionofmatchedtransmissionlinewithsomesmallfiniteloss. Inthecaseofahighpowerlevelincidentuponthelimiterstructure,ahighdegreeoflosstakesplacean dthelimiterwillactasahighlymismatchedsectionoftrans-missionline.it hrespecttothepowerlostinthiscase,itwillbeduetobothreflectionanddissipationwiththeformerbeinggreatlydominantdu etopowercapabilityconsiderations.bviously,thiscon-siderationisofextremeimportancesincet hepowerdissipatedbythelimitingdiodeordiodeswillprimarilydeterminemaximumpowerhand-lingcapabilityoft helimiter.

    Inadditiontot hepowersensitivityoperationalcharacteristicso fthelimiter,o neotherimportantcharacteristicisdisplayed.hi sisthefactthatt helimiteriscompletelypassiveinoperationwithrespecttopriorknowledgeofinputsignalcharacteristics.hatis,noinformationneedbesuppliedfromthesystemsthatthelimiteris

    Pointcontactdiodeswillno tbeconsideredduetotheirinherentlowpowerhandlingcapability.

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    employedinorusedtoprotectagainst.Ingeneral,thePN-junctiondiodelimitercanbeconsideredas

    beingasolid-stateequivalentoftheconventionalgaseousTR-tube.However,intheoryitdoesno tsufferfromtheTR-tubedrawbackssuchaslifeandinter-pulseprotection.hileitseemsunlikelythatPN-junctiondiodelimiterswillreplaceTR-tubesonthebasiso fpowerhandlingcapability,it soctavebandwidthcapabilityo foperationoffersafeaturepreviouslyunobtainable.

    2.EMICONDUCTORLIMITERDIODESInt heareaofcontrolo fmicrowavepowerthroughuseo fsemi-

    conductors,twomainPN-junctiontypediodeshavebecomeprominent.ThesearethevaractorandPINdiode.nFigure(l),generalcharacter-isticso fbothtypesarecomparedonthebasiso fconstruction,equi-valentcircuitandimpedancecharacteristicsatmicrowavefrequencies.Ascanbeseen,thevaractorcanbecharacterizedasavoltagedepend-en tcapacitancewhilethePI Ndiodeexhibitsallessentialpropertieso favoltagedependentresistance.

    InadditiontothepropertiesshowninFigure(l),bothdiodetypesexhibitt henormalcurrentvoltagerelationshipo ftheclassicPN-junction.hi stakest heformofasharpcurrentrisewhensub-jectedtoasmallforwardbias(+o nthePside)andanavalanchebreakdownconditionwiththeapplicationo fsomecomparativelylargereversebias.

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    -4-Becauseeachdiodecanexhibitaradicalchangeofimpedancestate

    atmicrowavefrequencies,theirapplicationtopassivecontrolofmicro-wave powercanatoncebeappreciated.hisiswellillustratedbytheSmithChartimpedanceplotsshowninFigure(l).owever,oneothernecessarypropertymustfirstbeinvestigatedandthisi stheabilityofthediodetointeractdirectlywithanappliedRFwaveformatmicro-wavefrequencies.asically,thisamountstorectificationefficiencyandchargestoragecharacteristicsofthediodeinthefrequencyrangeofconcern.

    (2-a)HEVARACTORDIODEInFigure( l ) ,thevaractorconstructionalschematicshows

    itt oconsistofaPNNandwicharrangementofsemiconductormater-ial,therebycreatingaPN-junction.tzerobias,iti satequilibriumasaresultofholesandelectronsdistributingthemselvessuchthatthereareessentiallynocarriersi nthevicinityofthejunction.hisregionwhichi sfreeofelectronsandholesi scalledthedepletionlayer,It spresenceenablesthevaractort oexhibittherequiredcharacteristicofaparallelplatecapacitor withthedepletionlayerformingthesepa-rationbetweentwoconductiveregions.nordertocontrolmagnitudeofcapacitance,junctionareacanbevariedinsize.ereagain,theeffectsareidenticalt othatobtainedwithvariationofareai naparallelplatecapacitor.

    I fapotentialwereno wappliedacrossthesemiconductorjunction,the depletionlayerwouldchangeinthicknessduetochargemovementandthereforevarycapacitance.fmadesufficientlylargeandpositivein

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    polarity,th enoreialforwardconductionprocessofaPN-junctionwouldoccurnregardtovaractora,nodifficultyhasbeenencounteredwithrespecttothisprocessrespondingfaithfullytoanappliedRFvoltageofrelativelylowpowerlevel(0.1-0.5watts).hiscanbeattributed tothefactthathole*andelectronsneedonlymoveasmallportionofthedepletionlayerwidth. Athigherpo werlevels,aconsiderableamountofcarriers,bothholesandelectrons9ereinjectedintotheNregionwithaneffectivedisappear anceofthedepletionlayer. Infact,thisoccurstosuchadegreethatthenegativeRFvoltageexcursionsareunabletosweepcutanappreciableportionofthischarge.hevaractorwillthenappearashavinganinfinitecapacit anceandhenceverylowimpedance

    The varactorequivalentcircuit,asshowninFigure(l),containsaaeriesresistance Rnadditiontoitsvolt agedependentcapacitance. Thisprimarilyarisesfromresistanceasso ciatedwiththebaseregionandisconstantuntilappreciableforwardconductiontakesplace.henthisoccurs,theinjectionofcarriersasdescr ibedinthepreviouspara-gr aphcancausealargereductioninseriesresistanceyasmuchas80&.hisprocessIstermedconductivitymodulationandisillustrated inthevaractorimpedanceplotofFigure(l)bydeviationfromthe

    Uhlir,A.Jr."ThePotentialofSemiconductor DiodesinHighFrequencyCommunication."roc.IRE,Vol.46pp1099-1115(June1958).Thiseffectisnormallyverypronouncedinsiliconvaractorsandmayormayhotbeevidentinothersemiconductormaterialtypes.

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    constantresistancecircle.nthiscast,itI scausedbya DC volt-agebutwillalsooccurunderRFconditionstoalasserdegree.henew valueofresistancewillbereferredt oasRhethercausedbyaDC OrRFvoltageappliedacrossth ePNjunction.

    (2-b)HEPI N DIODE2ThePI Ndiode#thoughsimilartothevaractor,contains

    oneimportantconstructionaldifference.hi si stheinclusionofarelativelythickintrinsicsemiconductorregion( Iregion)betweenPandKateriallayersecause ofthisthePI Ndiodeexhibitsamuchlargerareaper unitcapacitanceandhigheravalanchebreakdownratingascomparedto varactorshevariableresistanceproperty ofthe PINdiodeiscausedbyinjection ofbothholesand electronsintoth eIregionupontheapplication ofaforwardbias*hi screatesaneffec-tiveelectron-holeplasmain whatwasformerlyadielectricregion,thusconverting itintoaconductingmediumhe overallresulti sthatthe PI Ndiodeischangedfrom a veryhightoaverylowresistanceasillustrated byitstypicalSmithChartimpedanceplotinFigure( 1 ) .Alsoillustratedinthisplotisthe effectof Cnth eregionfromzerotoreversebreakdownhi stendstomaketh ePI N diode appearancedeviate slightlyfromapure variableresistance.

    Withrespecttothe PI Ndiodeinteractingdirectlywithanapplied Rf voltageseriousdifficultiescanbeencountered.hi s2Leenov,D .Forster,J .H.,Crann,N ."PINDiodesfo r ProtectivelimiterApplications."olid-StateCircuitsConference Digest,pp .84-85,1961.

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    occursbyvirtu ofthtrequirementthatanappreciabledistancemustbetravelledbycarrierinordertocreateaneffectivelo wresistivityelectronholeplasma. FortypicalPINdiodes,thiseffecti squitepro-nouncedatL-band. Itcanbeconsideredaformoftransittimephenomenonsincereductioni nIregionthicknesswillimprovethesituation.ow -everthe ultimateofthisapproachi sdegenerationintothebasicvar-actordesignwithit srelativelyhighcapacitanceperunitareachar-acteristichus,larger powerhandlingcapabilitiesofthePINdiodebyvirtueOfcomparativejunctionsizei slost.

    Thereforea scanbeseen,thePINdiodedoesno tdirectlylenditselftohighpowerlimitingapplicationsduetoitsrelativelyslowinteractiontimewithanappliedR waveform. Thisinabilitypre-cludesits useas amicrowavepowerlimiterinthenormalsenseofopera-tionbutha slittleeffectanitsabilitytobeuseda sa moderatelyfastswitchdrivenbyanexternalbiassource.owever,a s waspreviouslystatedfonlypassivedevicesareofconcernheresothatsynchronizeddrivingpulsescannotbesuppliedfromanexternalsource.

    By utilizingahybridform ofoperationwhichcombinesaspectsfromboth diodelimitingandswitchingconcepts,atrulypassivePI Nlimitercapableof operating athighermicrowavefrequenciescanbeachievedhe circuitrequiredtoachievethisisshowninfigure(2).Asshown,the PI Ndiodeiplacedinshuntacrossetransmissionlintin asuitable microwaveswitchingcircuitryconfiguration .recedingDetailsofappropriatediodecircuitrywillbedescribedi nsection4ofthisreport.

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    thePIN diodeitasignalsamplingdevice(directionalcoupler)ttrmi-natedbyahighburnoutxteldiode.hi sdiodei softhepointcontacttypeand ha sanexceedinglyfastresponsetime.

    AsanincidentR?signali sapplied,a portion willbedeliveredt othextaldiode.tsrectified videooutputi*thenfedtothePI Ndiodecausingit t ochanget oaforwardconductionstateandbecomehighlyreflective,hisconstitutesaneffectivelimiteraction whosethreshold oflimitingi scontrolledbythextaldiodedecouplingmagni-tude withrespecttothemaintransmissionline.

    Attractiveatthisapproachmayseemitstillha sseverald r a w - *beckshemostImportanti sduet othefactthataleakagespikeintheRFwaveform willbe presentdue totherelativelylongswitchingtimerequiredbythePI Ndiode.oweverthiscanbecompensatedforbyfollowingthePI Nlimiterbyaconventionalvaractortype whichwillineffectgreatlyreduceth espikeamplitude*he otherdrawbackcon-cernsrecoverytime*ereagainslownessofresponseofthe F i t diodeieevidentbecauseafinitetimei srequiredforittochangefromaconductingt onon-conducting state*hi smakesitselfevidenti nth eform o fafiniterecoverytime*oweverhereseveralschemeswhichillbecoveredinlaterreportsexistwhichenablerecoverytimevaluesmuchleesthana s e ctobeobtained.

    Theconventional3 DBpointfo rrecoverytimei sassumedherea sinth ecase o fTR-tubes.

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    Despitetheabovementioneddisadvantages,thePI Nd i odeinafeedbacklimiterconfigurationcanbeadvantageouslyemployed whereinitialreductionofhighpowerlevelsi6ofconcern.nceaccomp-lishedconventionalvaractorlimiterscanbeusedtocopewiththeremaining powerlevels.herefore,thePI Nfeedbacklimitercanbeconsideredasasolid-stateequivalentofthenormalgaseouspreTR-tube.

    3 . DIODEPACKAGECHARACTERISTICSBeforeproceedingintoadiscu ssio nondisjunctiondio delimiter

    circuitry*amoredetailedknowledgemustbegainedwithrespecttotheactuald i odeequivalentcircuit.tverylowfrequencies,theequivalentd i odecircuitca nbeconsideredasthatofthePN-junctionalone.owever,inthefrequencyrangeofconcern,1Kmcto11Kmc,theeffectofphysicallypackagingthed i odemustbeconsidered.

    Unfortunatelyoncethedio deispackaged,strayreactancesareintroducedthatmustbeaccountedforinthemicrowavecircuitryenvironment.hesetaketheformofinductance,L inserieswiththed i odeJunctionandashuntcapacitance,C ,inparallelw i ththepreviouscombination.hegeneraldio depackageequivalentcircuitisshowninFigure(9).lsoshownisaseriesequivalentrepresenta-tionthatlendsitselfmoreeasilytocircuitperformancecalculations thatwillbediscu sse dlater.henecessarytransformationequationsfortheseriesrepresentationarelistedbelow.

    u D li

    D

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    10-X2B = P iT. 2*(x s*xp> 2

    Xn2 ( x X) X Xx=-^_LiB - A J BR2 ( XX )6 S pwhereX= -~P .

    s S U ) C

    LshearasiticseriesinductanceCshearasiticshuntcapacitanceRsheiodejunctionseriesresistanceCsheiodejunctionseriescapacitances

    (i)

    ( 2 )

    .L iU |L iI D D

    Inthecasewhereeitheraforwardcurrentbiasorhighpoweri semployed,abarnotationwillbeused.hereforeRillbecomeRandXhangestoX sforthelatteritcanbeassumedt obe u o LsunderforwardbiassinceCillapproachinfinityit hrespecttoCndL theyarefixedandthereforeunaffectedbybiasconditionsP s

    (3-a)ERAMICPACKAGEDIODESInFigure( 4 )tvarioustypicaldiodepackagetypesare

    shownwhichwillbeemployedinfuturecircuitdevelopmentonthiscontract.heyareofceramicpackage construction withtheceramicportionsindicated.hepilltypeshowninFigure(4-a),hasbeenmanufacturedbyMicrowaveAssociatesforth epastseveralyearsand

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    resultstodateShoeittobeextremelyruggedinnature.houghhownwithtwoconnecting prongs,threadedstudsca nbosubstitutedifdesired or onestudremovedcompletely.

    The is-sUckpackagedesign,showninFigur(4b),i sofarecentdesignandi s stillundergoingdevelopment.owevar,prototypeunitshavebeenfabricatedandteststodateshowalargeimprovement withrespect toparasiticreactancea sshowninthetableoffigure( 4 ) .Thisfeatureisbelieved t obeabsolutelynecessaryinordert oachievehighfrequencybroadband operationuptol lKmcwithpackageddiodes.Asforlowerfrequencyoperationat4. 5Kmc,orbelow,iti sbelievedatthistimethatth epilldiodeoraslightlymodifiedformwillbeadequate

    (3-b)NTEGRATEDDIODESInordertoachieveths ultimatewithrespecttopackage

    parasiticreduction,anintegratediodei snowunderdevelopmentandpreliminaryresultshaveshownitscapabilityofoperating wellaboveX-bandoweverfa price i spaidforthisinth eformo ffragilecon-struction ethodsOfspringloadingthisformofdiodehavebeendevelopedandare currentlybeingevaluated.scanbeseenthistypeofdiodeconstructionisbyfarthemostdesirableforabsolute minimumparasiticreactancevalues.

    Theterm Integrateddiodei susedtodescribeapackagelesstypeconstruction withthaPN-junctionaxposed.

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    Thereasonsfo racquisitionoflowparasiticreactanceswillbeexplainedlaterinth esectioncoveringlo wpassfilterlimiterdesigns.tthispointit willsufficetoeaythatthelargerthestrayseriesinductivereactance*thelargertheapparentdiodejunctioncapacitance*hi scanbeseenbyexaminationofthepackageddiodeequivalentcircuitshowninFigure(3)incethe strayinductance,L i sinseries with th e Junctionapacitance*C,itwilltendtocanceloutaportionofthecapacitlvereactanceandcause Coappearlargerthan itactually i s .he expressionforKillustratesthiseffect,

    4. THE BASICDIODELIMITERAspreviouslymentioned,PN-Junction diodescanbeemployedto

    controlmicrowavepowerintheform oflimitersorswitches.heformerisofconcernherethoughnecessarymicrowave circuitryfo reithercaseisidenticalinmanyrespects.norderto achieve efficientlimitingoperation,thediodemustbeproperlyarrangedina microwavecircuitwhenplacedinshuntacrossatransmissionlineitshouldappearasanopencircuitatlow powerlevelsen deshortcircuitathighlevelstoachievedesiredoperation.heabilityto accomplishthisis adirectresultof thelargeimpedancechangeexhibitedby aPN-junctionwhensubjectedtotheextremesinpowerlevels.

    (4-a)HEDIODELIMITE*EQUIVALENT CIRCUITInFigure( 5 ) ,theschematicofenidealdiodelimiterfo r

    narrowfrequencyoperationi sshown.houghwidebendoperationi sthe

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    primaryconcernofthisprogram,adiscussionofthiscircuitcanbeusedtosecureanunderstanding ofgeneralmicrowavecircuitryproblemsinvolved.lsopresentedinFigure( 5 )are aset ofequationsrelatingt o parameters ofthe packaged diodeandexternaltuningreactancesneces-sarytosecure efficientlimitingoperation.heseequationsreducetheoverallcircuittoasimplenormalizedshuntadmittanceequivalentcir-cuitrepresentation*ncetheseexpressions areknown,g +jbandg+jo,limiter performancecanbecalculatedbyus eofthelossequationstabulatedinFigure(6)*

    ReturningtoFigure(9),inspectionshowsthattwoexternalreactancesX-andXreutilised*hesearerequiredtoachievemini-mumlossatlow powerlevelsand highestisolationathighpowerlevels

    respectivelyppropriatecircuitrelationshipstosatisfythesecondi-tionsare alsoshowninFigure( 5 ) .tfrequenciesupthroughS-band,thislumpedcircuit approachha sbeenfoundtoyieldexcellentcorrela-tionwithexperimentalresults.nallprobability,thiswilldeparttosomedegree at X-bandbu tthemagnitude ofdiscrepancyha syet tobedetermined*orsimplecoaxtransmissionlinestructures,diodeimped-anceCharacteristicsmaybedeterminedbyplacingadiodeinshuntwiththeline andmeasuring VSWRendinsertionloss.ls ovariationofdiodeThe valueofXss ochosenthati tresonateswith X_asshowninthediodeseriesrepresentationofFigure( 3 )underhigh power.hi sassumes f taschangedtoRnd Xsequalto X . hevalueofX_i scholentoparallelreionatewiththeseriesombinationofX^+X

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    capacitance*bybiasapplication,can t o usedtodeterminetheexactvalue ofInthiscase,Xnd XreomittedandCsvariedsothatseriesresonanceandthusmaximuminsertionlossi ssecured*romthe knowledgeofCtth e properbiaspointandthefrequencyofopera-tionLanbedetermined.

    3

    (4-b)IODEUMXTEACIRCUITLOSSEQUATIONSThelossequationstabulatedinFigure( 6 )canbeusedt o

    predictlimiterperformanceonceappropriatenormalizedadmittancecomponents are known. Iti s worthytonotethattheseequationsareindependentoftheactualmicrowavecircuitryinvolvedandrequireonlythe normalizedshuntadmittanceexpressionsofthelimitercir-cuit \ g jb andg jb.hereforetheyrepresentanexceedinglyvaluabletoolinproviding acapabilitytoanalyzeperformanceofanylimitercircuitconfiguration.tis ,ofcourse,assumedthatthetransmissionlineitselfexhibitsnegligiblelossatthefrequencyofconcernhi sassumptioncanbeconsideredquitevaliduptothemaxi-mumfrequencyofconcern1 1 Kmc

    5 . fHBROADBAND LIMITERCONCEPTInordertoachievebroadbandlimiting,iti sdifficulti fno t

    impossibletoemployseriesresonanttuningconfigurationsasshowni nFigure{% ) bytheuseofX.hi sapproachisnarrowbandinnaturewhichisnotcompatiblewith thebroadband performancesoughtafter.Thereforeitappears&or*logicaltosimplyplaceadiodeinshunt

    withatransmissionline.owever,thisinitselfi snotsufficient

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    - 1 5 -with respecttolowlevellotunlessthevalueofXj9assho wninFigure(3)ismuchgreaterthanthetr ansm issionlinecharacteristic im pedanceZithpresentd aydiodetechnology,thisa pproachseemsimpracticalwhenconcernedwithZ valueintherangeof25to5 0ohmsatafrequencyof1 1 Kmc.herefore,m icro wavestructuresmustbeutilizedwhichwillbebroadbandinnatureandemploythedio deshunt*i ngimpedance,X_,intheirdesign.

    (5-a)HELO WPASSFILTERLI1WTERO neformofcircuitwhichlendsitselftous einbroadband

    limiterdesignsisthelow pa s sfilter.hiscircuitnormallytakestheformoflumpedshuntca pa citancesa ndseriesinductancesformingacascadedseriesoff t networksasshowninFigure(7).heoryofthis

    3typestructureha sbeenadequatelycoveredintheliteraturendonlynecessary pertinentdesigninformationwillbediscussedhere.

    AscanbeseeninFigure(7),thecircuitlendsitselftouseasabroadbandlimiterbyvirtue ofitsemploymentofshuntcapa-citors. Thesecouldobviouslybesecuredintheformofzerobiasedv ar actor sorPI Ndiodesprovidedthepropercapacit ance valueswereCbterved.herequiredseriesinductancescanbesecuredthroughuseofshortsectionsofhighimped ancetr ansm issionlinehavingavalueofetleasttw i ceZ

    Underlowpowerconditions,amatchedlow passfilter

    S .B.Gohn"DirectCoupled ResonatorFilters",Proc.IREVol.43,pp .167196(Feb.1987)

    i:

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    1 6tttlgnedforasufficientlyhighcutofffrequencyfouldofferlittuattenuationtoth esignal.owever,underhighpowerconditionsRFinteractionwiththePM*junctionmould causethevaractorpackageimpedancetoappearasalowvalueofinduct ivereactance.hiswouldobviouslydestroythem at chedpropertiesofthelowpassfilterstruc-tureandcauseittoprov ideahighdegree ofattenuationtotheincom-ingsignal.hereforelim it ingactionwouldbeobtained.ypicalresponseplotsofthefilterlimiterstructureunderthetwoextremepowerlevelsofconcernarealsoshowninFigure(7).

    T herippleexhibitedbythelowlevelresponseisduetothefact

    thateTchebyscheffdesigni semployedyuseofthisasoppo sedtoaButterworthor"maximallyflat"responsedesigngreaterlowlossbandwidthi sachievedforequalshuntingcapacit ance values.hepr icepa i disrippleintheoperatingfrequencyrange.owever,atthehigherfrequencies,suchasX-bandthiswillprobablybenecessaryduetothelowant icipatedcapacit ancevaluesrequired

    Thoughthegeneralappro achisstr aightfor war dseveralpr act icaldifficultieswillbeencountered.heshuntingcapacitancevaluesrequiredconsistnotonlyoftheverectororPI Njunctioncapacitance,C butparasiticeffects.herefore,actualrequiredvalueswillbemo difiedbythefollowing:

    (a )huntpackagepar asit iccapacitance,C asshewninFigure(3).

    (b)eriesinductance par asit icL whichwillcauseanapparentincreaseinjunctioncapacitance.

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    ;:

    Iu

    1 7

    (c)tructuraldiscontinuitycapacitanceasencounteredatthejunctionofanabruptchangeincoaxlineimpedance.

    ( d )heinherentfinitecapacitanceperunitlengthofacoaxlineoverthephysicalregionoccupiedbyadiodepackage.

    Theoveralleffectofalltheseconsiderations f i l lbetheneedofadiodejunctioncapacitancelowerinvaluethanthatpredictedbytheory.hisat onceillustrateswhy minimumpackageparasiticvalues(CndL)aredesirable.

    Returningno wtotheclassiclow passfiltertheory,thevariousLandCvaluescanbecomputatedfromthefollowingexpressions.

    LZ9kk uck Z oc

    ( 3 )

    ( 4 )where C ,and ,aretherequiredfiltercapacitanceandinductancevalues.

    Zstheinputandoutputtransmissionlineimpedance.< Bsequalt o2 r ? ffsthedesigncutofffrequencyofthe

    filter.)g ,istheappropriateconstantnecessaryforcalculationof

    filtercapacitanceandreactancevalues(SeeTable1 ) .l i t allcasesnwillbeoddi nvalueand1km. Odd valuesofkillb e ? usedfor determinationofcapacitanceandevenvaluesfor

    i :

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    v 18 -JABL^OFTCHEBYSCHEFFCONSTANTS.gk>FO RLOWPASSFILTERDESIGNS

    i

    \ 1

    l

    NO. OFILTER1 ELEMENTS

    g, VALUESk i h ^2 *3 94 % g6 s?

    M2 S ft J .63 .97 .63 -- i I is : 5 .756 1.31 1.58 1.31 .7561.75 1.39 .797

    * V o o 7 .797 1.39 1.75 1.63If ^ 1.-, ........ 1.03 1.1b 1.03 ~ ! -Ht 1.15 1,37 1.98 1.37 1.15 1

    > - 0 7 ( ' O C U 1.18 ! 1.42i 2.10 1.57 2.10 1.42 1.18

    -o a. 1.23 1.15 1.23 ~

    i c a03 .H e, 1 CQ DC 1.34 1.34 2.17 1.34 1.34 1 ! IM U > 10 7

    i O C O 1 0.4 1.37 | 1.38

    1 2.28 1.50 2.28 1.38 ! 1.37! 1

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    n D

    .

    1* -

    requiredinductancecalculations.ne allC value*are determined,parasiticandstraycapacitanceeffectsmustbetakenintoaccountinordertodeterminetheactualjunctioncapacitance,C,required.sforLvalues,theymaybe secured,as previouslymentionedbyuseofshortsectionsofhighimpedancetransmissionline.heactuallengthoflinerequiredmaybesecuredthrough us eofthefollowingexpression.

    L=.0852^nH/in.o ( 5 )whereLi stheinductance perunitlength

    ZQ sthecharacteristicimpedanceofthehighimpedancelinesection(Z Zo o

    Inpractice,thismethodofsecuringaneffectivelumpedinductanceinacoaxiallinestructureisvalidprovidedthelinelengthusedi slessthanone eighthofthefiltercut-offfrequencywavelength.

    Asafinalpointinthisinitialdiscussiononlo wpassfilterlimiterdesigntechniquesfabriefdiscussionontheisolationchar-acteristicasdfunctionoffrequencyis worthmentioning.hegeneralisolationvaluetrendasShowninFigure(7)showsadecreasing valueasfrequencyincreases*hisisduetothefactthatthediodepackageequivalentcircuitappears asan inductivereactancewhenth efilterlimiterissubjectedtohighpower '- > *$ecauseofthis,theshortingeffectofthe diode becomeslesseffectiveasfrequencyi sincreasednd hencelowerisolation.er eagain,thedesirabilityoflo wpackageparasiticreactancevaluesbecomesapparent.

    Asfrequencyincreases X . increasecausingagreaterdeviationfromashortcircuitasideallfdesired.

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    D G

    D

    G

    G L IG U U u

    i :.

    -21-

    isolat ionunderhighpower,ithattheundesir able propertyofbeingfrequencysensit ivea ndexhibitingapeakedresponse.oagreatdegree,itissim ilarinnaturetothelimitercircuitprev iouslydiscussedandshowninFigure(5).

    InFigure(8),thegeneralcir cuitemployingthisformofbro adbandlimiterdesignifsho wnalongwithatypicalresponsethatcanbeexpectedforbothinsert ionlossa ndisolat ioncharacteristics. Thisapproach,ifutilisedwouldbeforthehighestfrequencyrangerequired,7to11KmcoderatecapacitancePN-junctionscouldbeemployedwhich wouldovercometheproblemoflowvaluesneededinthisrangeifal o w / passfilterdesignwereutilizedoweverhere,theproblem ofbandwidthappear stobe themost challenging.

    TodateTR-tubesutiliz ingthistechnique havebeendesignedwithbandwidthsupto3 0 f t houghthisdoesnotrepresenttheultimatelimit,a7to11Km cdesigndict atesabandwidthof4 4 . 5 $whichisconsider ablygreater.lso,broadb andPN^unctionlimiterdesignspresentlyav ailableatX-bandereonly1 3 f tinbandwidth.here-fore,animprovementinthisareabyafactorof3. 4isrequired.

    Atthisearlypo intinthe progr amitisant icipatedthatthebandpassfiltertechniquewillbeusedfortheX -b andregion.his,ofcourse,doesnotprecludethepo ssibilityofawaveguidelowpassfilterdesigniffutureworkshowsittobepromising.

    a

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    a D

    1 1 0

    :.D u D

    -21 -

    CONCLUSIONS

    Atthispoint,withinitialinvest ig at ioncompleted,nodefiniteconclusionsbasedonexperimentresultscanbemade.owever,thefollo winggeneralstatementsarefelttobereasonablycorrectonthebasisofinformationpresentedinthisreportandpastexperienceobt ainediniimitertechnologyatMicro waveAssociates.

    (a )hetwolowerfrequencyranges( l-4. 5and4-7.5Kmc)will,inallprobability,employ* o m eformoflowpa s sfilterIimiterdesign.

    (b)hehighestfrequencyrange(7-11Kmc)seemstodictateabandpassfilterIim iterdesignapproach. However,thiswilldependgreatlyonthedevelopmentoflowpar asist icpackageandinte-grateddiodes.hisisthem ainchar acter ist icthatprecludestheemploymentofalowpassfilterdesignforthiscase.

    (c )nallcases,theemploymentofaPI Ndio defeedbackIim iterwillbeemployedastheleaddio ded uetoitsinherenthigherpowerhandlingcapability.

    i

    I

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    D

    !

    D

    i.

    -23-

    PARTHPROGRAMfORTHENEXTINTERVAL

    Duringthenextquarterlyintervalofthisprogram,basicdio dechar acter ist icswillbeinvestigatedw i t hrespecttotheeffectofpackagepar asit ic*onlimitingfrequencyofoperation.hiswilltaketheformofcir cuittestsonexistingtypes(pillpackage)andtestingnewerversionsastheybecomeavailable. Inaddition,filterlimiterdesignswillbedevelopedtocoverthetwolowerfrequencyrangesofinterest.

    Asforthe X-bandregion,individuallimiterdesignsw illbedevelopedandtestedinanefforttoextendthepresentcapabilityof13& bandwidth.sapo ssiblealternateappro achforthisregion,theemploymentofalowpassfilterlimiterdesign w illbefurtherinvesti-gatedandprelim inarydesignsdevelopedifwarranted.

    Also,theareaofhighpowerd iodecapabilityinvest ig at ionw illbestarted.hisw illpr im ar ilyinvolvepreliminarytestsandanalysisonPI Nfeedbacklimiterdesignsoverthecompletefrequencyrangeofconcern.

    l a

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    n 0D i : :

    :

    D

    L

    fifivrtN 9 -

    23

    -24-

    LISTOFILLUSTRATIONS

    GeneralChar acter ist icsofVaractorsandPI NDiodesPI NDio deFeedbackLimiterConfigur at ionGeneralDio dePackageEquivalentCir cuitandTr ansform at ionEquationsforaSeriesEquivalentRepresent at ionVariousLimitingDiodePackageConfigur a-tionsandAssociatedApproximatePar asit icChar acter ist icsPN-JunctionDiodeLimiterEquivalentCircuitandAssociatedNorm alizedAdmittanceCom ponentEquationsGener alShuntAdmittanceStructureLossEquationsLo wPassFilterTypeLimiterEquivalentCir cuitandGeneralPerformanceChar acter ist icsBandPassFilterTypeLimiterEquivalentCir cuitand Gener alPerformanceChar acter ist ics

    Ref.Page

    3 ,4,5 ,6

    9 ,16

    1 0 ,1 1

    12 ,13,20

    13,14

    lb,16,19

    20

    i: CHARACTER IST IC cl V A R AC TOR NI O O E

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    n o n

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    SCHEMAT IC A TER OIA S

    EQU I V A L E N TC IRCU IT

    TYPICALSMITHH A R T I MPEDANCE PLOT

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    F I G U R E 3GENERAL OXOOB P A C K A G E E Q U I V A L E N T CIRCUITAND T R A N S F O R M A T I O NE Q U A T I O N S F O RA S E R I E S E Q U I V A L E N T REPRESENTATION

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    I .EPENDENTONMICROWAVE CIRCUITRYENVIRONMENT,TYPICALLY

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    XLL DL HERB Pin I S THEINPUTPOWERPoS THE OUTPUTPOWERPrSTHE REFLECTED POWERPdS THE DISSIPATIONPOWERgSTHE NORMALIZED SHUNT CONDUCTANCEbSTHE NORMALIZEDSHUNTSUSCEPTANCBFIGURE 6

    GENERAL SHUNT ADMITTANCE STRUCTURE LOSSEQUATIONS

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    r . t ^ IVV ^

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    FIGURE7LOW PASS FILTERTYPELIMITEREQUIVALENTCIRCUITAND GENERAL

    PERFORMANCECHARACTERISTICS

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    FIGURE3BANDPASS FILTER TYPE LIMITER EQUIVALENTCIRCUIT ANDGENERALPERFORMANCECHARACTERISTICS