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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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a I
u
-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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D
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
D
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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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(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
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-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 : :
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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
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SCHEMAT IC A TER OIA S
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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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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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FIGURE7LOW PASS FILTERTYPELIMITEREQUIVALENTCIRCUITAND GENERAL
PERFORMANCECHARACTERISTICS
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FIGURE3BANDPASS FILTER TYPE LIMITER EQUIVALENTCIRCUIT ANDGENERALPERFORMANCECHARACTERISTICS