High-Speed Circuit Board Signal Integrity ForalistingofrecenttitlesintheArtechHouseMicrowaveLibrary, turntothebackofthisbook. High-Speed Circuit Board Signal Integrity Stephen C. Thierauf Artech House, Inc. Boston • London www.artechhouse.com LibraryofCongressCataloguing-in-PublicationData AcatalogrecordforthisbookisavailablefromtheU.S.LibraryofCongress. BritishLibraryCataloguinginPublicationData AcatalogrecordforthisbookisavailablefromtheBritishLibrary. CoverdesignbyIgorValdman ©2004ARTECHHOUSE,INC. 685CantonStreet Norwood,MA02062 Allrightsreserved.PrintedandboundintheUnitedStatesofAmerica.Nopartofthisbook maybereproducedorutilizedinanyformorbyanymeans,electronicormechanical,includ- ing photocopying, recording, or by any information storage and retrieval system, without permissioninwritingfromthepublisher. Alltermsmentionedinthisbookthatareknowntobetrademarksorservicemarkshave beenappropriatelycapitalized.ArtechHousecannotattesttotheaccuracyofthisinforma- tion.Useofaterminthisbookshouldnotberegardedasaffectingthevalidityofanytrade- markorservicemark. InternationalStandardBookNumber:1-58053-131-8 10987654321 ToAnn,Christopher,andKevin . Contents Preface xiii CHAPTER 1 Characteristics and Construction of Printed Wiring Boards 1 1.1 Introduction 1 1.2 UnitSystem 1 1.3 PWBConstruction 2 1.3.1 Resins 3 1.3.2 AlternateResinSystems 3 1.3.3 Reinforcements 5 1.3.4 VariabilityinBuildingStackups 6 1.3.5 MixingLaminateTypes 7 1.4 PWBTraces 7 1.4.1 CopperCladding 8 1.4.2 CopperWeightsandThickness 9 1.4.3 PlatingtheSurfaceTraces 9 1.4.4 TraceEtchShapeEffects 9 1.5 Vias 10 1.5.1 ViaAspectRatio 13 1.6 SurfaceFinishesandSolderMask 14 1.7 Summary 14 References 15 CHAPTER 2 Resistance of Etched Conductors 17 2.1 Introduction 17 2.2 ResistanceatLowFrequencies 17 2.3 LoopResistanceandtheProximityEffect 20 2.3.1 ResistanceMatrix 21 2.3.2 ProximityEffect 22 2.4 ResistanceIncreasewithFrequency:SkinEffect 24 2.5 HandCalculationsofFrequency-DependentResistance 27 2.5.1 ReturnPathResistance 28 2.5.2 ConductorResistance 28 2.5.3 TotalLoopResistance 29 2.6 ResistanceIncreaseDuetoSurfaceRoughness 29 2.7 Summary 30 vii viii Contents References 30 CHAPTER 3 Capacitance of Etched Conductors 31 3.1 Introduction 31 3.2 CapacitanceandCharge 31 3.2.1 DielectricConstant 32 3.3 ParallelPlateCapacitor 33 3.4 SelfandMutualCapacitance 35 3.5 CapacitanceMatrix 37 3.6 DielectricLosses 39 3.6.1 ReactanceandDisplacementCurrent 40 3.6.2 LossTangent 40 3.6.3 CalculatingLossTangentandConductanceG 41 3.7 EnvironmentalEffectsonLaminateε andLossTangent 43 r 3.7.1 TemperatureEffects 44 3.7.2 MoistureEffects 44 3.8 Summary 45 References 45 CHAPTER 4 Inductance of Etched Conductors 47 4.1 Introduction 47 4.2 FieldTheory 47 4.2.1 Permeability 48 4.2.2 Inductance 48 4.2.3 InternalandExternalInductance 49 4.2.4 PartialInductance 49 4.2.5 ReciprocityPrincipalandTransverseElectromagneticMode 50 4.3 CircuitBehaviorofInductance 51 4.3.1 InductiveVoltageDrop 53 4.3.2 InductiveReactance 54 4.4 InductanceMatrix 55 4.4.1 UsingtheReciprocityPrincipletoObtainthe InductanceMatrixfromaCapacitanceMatrix 55 4.5 MutualInductance 55 4.5.1 CouplingCoefficient 56 4.5.2 BeneficialEffectsofMutualInductance 57 4.5.3 DeleteriousEffectsofMutualInductance 59 4.6 HandCalculationsforInductance 60 4.6.1 InductanceofaWireAboveaReturnPlane 60 4.6.2 InductanceofSide-by-SideWires 61 4.6.3 InductanceofParallelPlates 61 4.6.4 InductanceofMicrostrip 63 4.6.5 InductanceofStripline 63 4.7 Summary 64 References 65
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