02momchap1studentguide.docx
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02momchap1studentguide
ADSMomentumBasics
1
ThislessonintroducesthebasicelementsofMomentum.Bytheendofthislesson,youwillbeableto:
∙KnowthebasicstructureofMomentum
∙DeterminewhichcircuitsarebestsolvedbyMomentum
∙UnderstandhowtheMomentuminterfaceworks
∙RecognizeMomentumexamples
Thischapterdoesnotincludealab.ItisintendedtobeanoverviewofMomentum.
WhatisMomentum?
∙2.5DSimulationtoolforpassivecircuits
∙Motifstyleinterface
∙Layoutdriven(acceptsarbitrarygeometry)
∙MethodofMomentstechniquefortheplanarsolver
∙Unlimitedsubstratesanddatabase
∙S-parameterresultsforuseincircuitsimulator
∙Plotfar-fieldpatterns
2.5DEMSimulator
Momentumcansimulateplanarconductorgeometries,withplanarsubstratesinathreedimensionalspace.Planarconductorshavecurrentscontainedinthehorizontal“x-y”planewithoutavertical“z”directioncurrent.Viasareconductorsthatsupportvertical“z”directioncurrentbutnotplanar“x-y”directioncurrent.Becauseoftheseplanarrestrictionsoncurrentflowinwhatwouldotherwisebeathree-dimensionalspace,MethodofMomentsisconsidereda2.5Dsimulator.
IntegratedEnvironment
MomentumworksdirectlyfromLayoutofADS.ConductorgeometriesneedtobeplacedinLayout;eitherfromtheschematicauto-layout,orfromtheLayoutenvironmentasprimitivegeometriesorcomponents.Dialogboxesallowyoutospecifysubstrateparametersforaparticulartechnology.ThesubstrateGreen’sFunctionsarecalculatedandstoredinadatabaseforeasyreuseinsubsequentsimulations.Youcanalsospecifythetypeanddensityofthemesh.Thefrequencyrangeforsimulationisspecified,andaftersimulation,theS-parameterresultsareavailabletothegraphicsserverforplotting.Theyarealsoavailabletothecircuitsimulatorforuseasacomponentinasimulation.Momentumresultscanalsobeplottedasradiationpatternsonapolarplot.
MethodofMoments
Themeshusedforcalculationsisapatternofrectanglesandtrianglesthatdividethecircuitgeometryintocells.Momentumdeterminesthecurrentflowthrougheachcellbyconsideringeachcellasasmalltransmissionline.Eachcellhasa“self”effectofcapacitanceandinductance,justaswithatransmissionline,andamutualcapacitanceandmutualinductancetoeveryothercellinthesimulationspace.Oncealloftheinductorandcapacitorvalueshavebeendetermined(inreality,R,L,CandGarecalculated),thesimulatorsolvesforthecurrentflowthroughthecircuit.Fromthecurrentandvoltagethroughthecircuit,theS-parametersarederived.
BasicMomentumUseModel
SimplifiedFlowGraphofMomentum
∙Optionally,startwithaschematictogeneratealayout
(1).
∙GeometriesmustbeinLayout
(2)torunaMomentumanalysis.
∙TheMomentummenuisusedtocreate/editsubstrate,defineportsandmesh.
∙Momentummeshwillappearsuperimposedonthegeometryoutline(3).
∙Simulationisdrivenfromadialogbox.
∙TheplanarsolvercalculatesS-parametersandsendstheresultstothegraphicsserver(4).
∙TheS-parametersfromMomentumareinadataset,readytobeusedasacomponentinaschematic.
HowareCircuitsAnalyzed?
Substrates
AMomentumsimulationrequiresasubstratedefinitioninordertosolveforthegeometry’selectricalperformance.Thisdefinitionoftheverticalmediacanbemulti-layeredandcanincludevias.EachcircuitsolvedbyMomentumcanonlyhaveonesubstratedefinition.ThesubstratecalculatorcomputestheGreen’sfunctionsthattheMomentumPlanarSolverwillrequireforsimulationTheGreen’sfunctionistheeffectofacurrentimpulseatallpointsinspace,acrossallsubstrateboundaries.
Mesh
Theplanargeometryisdividedintoamesh.ThemeshisgeneratedbytheMomentumMeshGenerator,whichdividestheplanarsurfacesintotriangularandrectangularcells.Thesumofthecellsiscalledthemesh.
Thegoalforanysimulationistogetthedesiredlevelofaccuracyintheshortestamountoftime.Thetradeoffofasimulationisbetweenmeshdensityandsimulationtime.Adensermeshtranslatestoalongersimulationtime.Atsomepointthereisadiminishingreturnofaccuracyforadensermesh.
Youcancustomizethemeshforanyplanarsurface.Defaultmeshesareautomaticallygeneratedifnocustommeshissetup.MomentumprovidesanEdgeMeshfeaturethatautomaticallymeshestocapturetheeffectofcurrentcrowdingonthegeometryedges.Athigherfrequencies,theEdgeMeshprovidesthehighestlevelofaccuracywiththeminimummeshdensity,andthusthefastestsolutiontime.
PlanarSolver
Momentumsolvesthecurrentofeachcellbycalculatingthetransmissionlineeffectofeachcellandthemutualcell-to-cellinteractions.Eachcellinthemeshiscomputedasanelectromagneticmodelandtheproximityofallcellsisconsidered.
ThePlanarSolverusestheGreen’sfunctions,whichwerecalculatedduringthesubstratedefinitionprocesstodeterminethemutualcell-to-cellinteractions.
(RecommendationtoreviewtheAppendixsectionsonCurrentModelingandMethodofMoments)
WhenShouldYouUseMomentum?
UseMomentum,insteadofthecircuitsimulator,forthefollowing:
∙Nosimpleanalyticalmodelexists
∙arbitrarygeometryonauniformplanarsubstrate
∙Couplingeffects–thinlayersandcloseproximity
∙Narrowresonantfrequencyresponsesthatmightnotbecapturedwhenusinganalytical-basedmodels
∙Radiationpatterns–plotfar-fieldsforantennasandothers
∙CPW–Coplanarwaveguideresultswithnoslotmode
UseMomentum,insteadofafull3-DElectro-magneticsimulator,forthefollowing:
∙WhenHFSStakestoolongor3Disnotrequired
TheMomentumUserInterface
ADSLayoutWindowwithMomentumMenu
CircuitsmustbeinLayoutinordertouseMomentum.Circuitsdesignedintheschematiccanbetransferredtolayout.IfanyportionofthelayoutisnotacceptedbyMomentum,amessagewillappearintheStatusWindow.Inaddition,layoutsmusthaveatleastoneportandavalidsubstratedefinitiontobesolvedbyMomentum.
TheMomentumEngine
TherearethreepartstotheMomentumengine:
theSubstrateCalculator,theMeshGeneratorandthePlanarSolver.
SubstrateCalculator
TheSubstrateCalculator
(1)computesthesubstrateinformationusingdielectricconstant,thickness,andgroundplaneinformation.TheseresultsarethroughtheuseofaGreen’sFunctionthatdescribesthecurrentandchargecoupling.Thecomputedsubstratedefinitionincludesanyvias,holesandairbridges.Thecomputedsubstrateisstoredinadatabase
(2)sothatitcanbereused.Substratecalculationsvaryincomputationtimedependingonthenumberofsubstratelayersthathavebeendefined,andduetothepresenceofvias.
MeshGenerator
TheMeshGenerator(3)dividestheplanarsurfacesintocells:
trianglesandrectangles.Itconvertsaviaintolinesegments.Thedensityofthemeshcanbecontrolled.EachcellcontributesRLCGcoefficientsthatneedtobedeterminedinthecomputation.
PlanarSolver
Finally,thePlanarSolver(4)usesthesubstrateinformationandthemeshtocalculatetheS-parametersolution(5).SimulationdataissenttotheGraphicsServerasitiscomputedandanyengineprocessesarereportedtotheStatusServer.
TheMomentumMenu
TheMomentuminterfaceisthroughtheLayoutWindow.Theprocessforsettingupandsimulatingistoworkthroughthemenufromtoptobottom.
1.Enable/DisableRFMode–EnableQuasi-StaticMomentumorFullWaveMomentum
2.Substrate–SaveandOpensubstratedefinitions.Create/EditandPre-computeSubstrateFunctions
3.PortEditor–DialogBoxfordefiningporttypes(Single,Internal,Differential,CommonMode,GroundReference,Coplanar)
4.Box&Waveguide–Defineordeleteedgewallsaroundgeometry.TwoparallelwallsfortheWaveguidemode,orfourwallsfortheBoxmode.
5.Mesh–MeshDialogBoxforsettingmeshfrequency,cellsperwavelengthandedgemesh.Alsopre-computemesh,viewmeshsummaryandclearmesh.
6.Simulation–SimulationDialogBoxforsettingstartandstopfrequencyandadaptivefrequencysampling(AFS).
7.Optimization–MenuforparameterizingandoptimizationoflayoutstomeetRFspecifications
8.Post-Processing–RadiationPatternsDialogBox.
9.AgilentHFSS–DialogboxforcreatingAgilentHFSSProjects
MomentumandMomentumRF
Momentum
MomentumisaFull-WaveMethodofMomentssimulatorintendedtobeusedforRFandMicrowavecomponent,circuitandplanarantennaanalysis.Inthefullwaveapproach,themagneticandelectricGreen’sfunctionsfollowfromMaxwell’selectromagneticequations,whichincludeallcoupling,radiationanddispersioneffectsinthesubstrate.TheseGreen’sfunctionsandasaresult,alsotheinductorsandcapacitorsintheRLCnetworkarecomplexandfrequencydependent.
MomentumRF
MomentumRFisaquasi-staticapproach,wherethestaticmagneticGreen’sfunctionisusedtocalculatetheinductorvaluesandthestaticelectricGreen’sfunctionisusedforthecapacitorvalues.ThesefollowfromthemagnetostaticandelectrostaticsolutionofMaxwell’sequations.
DuetotheuseoftheelectrostaticandmagnetostaticGreen’sfunctions,theresultingL’sandC’sarereal,frequencyindependentanddonotincludethehighfrequencywaveeffects(radiation).Forlowfrequenciesorelectricallysmalldistances,thestatictermsdominateandthequasi-staticapproachwillyieldsimilarresultsascomparedtothefullwaveapproach.Asthefrequencyincreasesandtheelectricallengthofthecircuitsbecomessignificant,thequasi-staticsimulationresultswillgraduallystarttodeviatefromthefullwaveresults.
Meshreduction
StandardMomentumprovidesaneasywayt