This page intentionally left blank Electromagnetics for High-Speed Analog and Digital Communication Circuits Moderncommunicationstechnologydemandssmaller,faster,andmoreefficientcircuits,the designofwhichrequiresagoodunderstandingofcircuittheoryandelectromagnetics.This bookreviewsthefundamentalsofelectromagnetismasappliedtopassiveandactivecircuit elements,highlightingthevariouseffectsandpotentialproblemsindesigninganewcircuit. The author begins with a review of the basics: the origin of resistance, capacitance, and inductance,fromacircuitandfieldperspective;thenprogressestomoreadvancedtopics such as passive device design and layout, resonant circuits, impedance matching, high- speedswitchingcircuits,andparasiticcouplingandisolationtechniques.Usingexamples and applications in RF and microwave systems, the author describes transmission lines, transformers,anddistributedcircuits.State-of-the-artdevelopmentsinSi-basedbroadband analog, RF, microwave, and mm-wave circuits are also covered. With up-to-date results, techniques, practical examples, many illustrations, and worked examples, this book will be valuable to advanced undergraduate and graduate students of electrical engineering andpractitionersintheICdesignindustry.Furtherresourcesforthistitleareavailableat www.cambridge.org/9780521853507. ali m. niknejadobtainedhisPh.D.in2000fromtheUniversityofCalifornia,Berkeley, whereheiscurrentlyanassociateprofessorintheEECSdepartment.Heisafacultydirector attheBerkeleyWirelessResearchCenter(BWRC)andtheco-directoroftheBSIMResearch Group.BeforehisappointmentatBerkeley,Niknejadworkedforseveralyearsinindustry designingCMOSandSiGeICs.HehasalsoservedasanassociateeditoroftheIEEEJournal of Solid-State Circuits, and was a co-recipient of the Jack Raper Award for Outstanding TechnologyDirectionsPaperatISSCC2004. Electromagnetics for High-Speed Analog and Digital Communication Circuits ALI M. NIKNEJAD CAMBRIDGE UNIVERSITY PRESS Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo Cambridge University Press The Edinburgh Building, Cambridge CB2 8RU, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521853507 © Cambridge University Press 2007 This publication is in copyright. Subject to statutory exception and to the provision of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published in print format 2007 ISBN-13 978-0-511-27009-3 eBook (NetLibrary) ISBN-10 0-511-27009-7 eBook (NetLibrary) ISBN-13 978-0-521-85350-7 hardback ISBN-10 0-521-85350-8 hardback Cambridge University Press has no responsibility for the persistence or accuracy of urls for external or third-party internet websites referred to in this publication, and does not guaranteethatanycontentonsuchwebsitesis,orwillremain,accurateorappropriate. Contents Preface pageix Acknowledgments xi 1 Introduction 1 1.1 Motivation 1 1.2 SysteminPackage(SiP):chipandpackageco-design 13 1.3 Futurewirelesscommunicationsystems 13 1.4 Circuitsandelectromagneticsimulation 15 2 Capacitance 18 2.1 Electrostaticsreview 18 2.2 Capacitance 32 2.3 Non-linearcapacitance 41 2.4 References 52 3 Resistance 53 3.1 Ohm’sLaw 53 3.2 Conductioninsemiconductors 59 3.3 Diffusion 66 3.4 Thermalnoise 68 3.5 References 73 4 Ampe`re,Faraday,andMaxwell 74 4.1 Ampe`re:staticmagneticfields 74 4.2 Magneticmaterials 82 4.3 Faraday’sbigdiscovery 88 4.4 Maxwell’sdisplacementcurrent 91 4.5 References 95 5 Inductance 96 5.1 Introduction 96 5.2 Inductance 97 5.3 Magneticenergyandinductance 101 5.4 Discussionofinductance 106 v vi Contents 5.5 Partialinductanceandreturncurrents 119 5.6 Impedanceandqualityfactor 120 5.7 Frequencyresponseofinductors 121 5.8 Qualityfactorofinductors 130 5.9 Inductorsandswitchingcircuits 133 5.10 Preview:howinductorsmutateintocapacitors 135 5.11 References 136 6 Passivedevicedesignandlayout 137 6.1 Ringinductor 137 6.2 Theclassiccoil 141 6.3 Spirals 143 6.4 Symmetricinductors 145 6.5 Multilayerinductors 147 6.6 Inductorequivalentcircuitmodels 149 6.7 Integratedcapacitors 150 6.8 Calculationbymeansofthevectorpotential 153 6.9 References 165 6.10 Appendix:Filamentalpartialmutualinductance 165 7 Resonanceandimpedancematching 168 7.1 Resonance 168 7.2 ThemanyfacesofQ 180 7.3 Impedancematching 186 7.4 Distributedmatchingnetworks 199 7.5 Filters 199 7.6 References 200 8 Small-signalhigh-speedamplifiers 201 8.1 Broadbandamplifiers 202 8.2 Classicaltwo-portamplifierdesign 220 8.3 Transistorfiguresofmerit 242 8.4 References 244 9 Transmissionlines 246 9.1 Distributedpropertiesofacable 246 9.2 Aninfiniteladdernetwork 248 9.3 Transmissionlinesasdistributedladdernetworks 249 9.4 Transmissionlinetermination 253 9.5 Losslesstransmissionlines 255 9.6 Lossytransmissionlines 260 9.7 Fieldtheoryoftransmissionlines 264 9.8 T-linestructures 265 9.9 Transmissionlinecircuits 272 Contents vii 9.10 TheSmithChart 282 9.11 Transmissionline-matchingnetworks 287 9.12 References 292 10 Transformers 293 10.1 Idealtransformers 293 10.2 Dotconvention 294 10.3 Coupledinductorsastransformers 295 10.4 Coupledinductorequivalentcircuits 296 10.5 Transformerdesignandlayout 299 10.6 Baluns 301 10.7 Hybridtransformer 302 10.8 Transformerparasitics 305 10.9 Transformerfiguresofmerit 305 10.10 Circuitswithtransformers 310 10.11 References 319 11 Distributedcircuits 320 11.1 DistributedRCcircuits 320 11.2 Transmissionlinetransformers 325 11.3 FETsathighfrequency 332 11.4 Distributedamplifier 335 11.5 References 342 12 High-speedswitchingcircuits 343 12.1 Transmissionlinesandhigh-speedswitchingcircuits 343 12.2 Transientsontransmissionlines 345 12.3 Stepfunctionexcitationofaninfiniteline 346 12.4 Terminatedtransmissionline 348 12.5 Reactiveterminations 357 12.6 Transmissionlinedispersion 360 12.7 References 363 13 Magneticandelectricalcouplingandisolation 364 13.1 Electricalcoupling 364 13.2 Magneticcoupling 367 13.3 Groundnoisecoupling 373 13.4 Substratecoupling 378 13.5 Packagecoupling 383 13.6 References 385 14 Electromagneticpropagationandradiation 386 14.1 Maxwell’sequationsinsource-freeregions 386 14.2 Penetrationofwavesintoconductors 390 viii Contents 14.3 Poyntingvector 395 14.4 EMpowercarriedbyaplanewave 397 14.5 ComplexPoyntingTheorem 399 14.6 Reflectionsfromaperfectconductor 402 14.7 Normalincidenceonadielectric 404 14.8 References 406 15 Microwavecircuits 407 15.1 Whataremicrowavecircuits? 407 15.2 Microwavenetworks 409 15.3 Lorentzreciprocitytheorem 409 15.4 Thenetworkformulation 412 15.5 Scatteringmatrix 414 15.6 Propertiesofthree-ports 421 15.7 Propertiesoffour-ports 429 15.8 Twoconductorcoupler 438 15.9 References 440 References 441 Index 445
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