Digitalversion,20thDecember2010. Graduationcommittee Prof.dr.ir. TonJ.Mouthaan UniversityofTwente(chairmanandsecretary) Prof.dr. MikoC.Elwenspoek UniversityofTwente(promotor) Dr.ir. LeonAbelmann UniversityofTwente(assistantpromotor) Prof.dr. GaryK.Fedder CarnegieMellonUniversity,Pittsburgh,PA,USA Prof.dr. PieterH.Hartel UniversityofTwente Prof.dr.ir. FredvanKeulen DelftUniversityofTechnology,theNetherlands Prof.dr.ir. GijsJ.M.Krijnen UniversityofTwente Dr. MarkA.Lantz IBMZu¨richResearchLaboratory,Switzerland Prof.dr.ir. StefanoStramigioli UniversityofTwente Paranymphs WabeW.Koelmans Le´onA.Woldering TheresearchpresentedinthisdissertationwascarriedoutattheTransducersScience& TechnologygroupattheMESA+InstituteforNanotechnologyattheUniversityofTwente, Enschede,theNetherlands.TheprojectissupportedbytheDutchTechnologyFoundation STW,whichistheappliedsciencedivisionofNWO,andtheTechnologyProgrammeofthe MinistryofEconomicAffairs(“A4–Adaptivenon-volatilestorAgesystemsforAdaptive Applications”,projectnumberTES.06369) E-mail:[email protected] Onthecover,amicroniumwafer(front),wheretheinstrument’sresonatorsappearcoloured becausetheincidentlightisdiffractedbytheperforationoftheresonatormasses;andaport- raitoftheauthor(back),seenthroughthelithographymaskusedtofabricatethemicronium. PhotosbyArvidJense. PrintedbyGildeprintDrukkerijen,Enschede,theNetherlands Copyright©2010JohanB.C.Engelen,Enschede,theNetherlands Somerightsreserved.Allorpartofthisbookmaybereproducedortransmittedinanyformorbyany means,electronicormechanical,includingphotocopying,orbyanyinformationstorageorretrieval system,withoutpermissioninwritingfromtheauthor,onlyifproperreferencetotheoriginalworkis made. ISBN 978-90-365-3120-7 DOI 10.3990/1.9789036531207 Optimization of Comb-Drive Actuators Nanopositioners for Probe-based Data Storage and Musical MEMS dissertation toobtain thedegreeofdoctorattheUniversityofTwente, ontheauthorityoftherectormagnificus, prof.dr.H.Brinksma, onaccountofthedecisionofthegraduationcommittee, tobepubliclydefended onFriday,14January2011at13:15 by Johannes Bernardus Charles Engelen bornon8June1983, inNijmegen,theNetherlands Thisdissertationisapprovedby Prof.dr.MikoC.Elwenspoek UniversityofTwente(promotor) Dr.ir.LeonAbelmann UniversityofTwente(assistantpromotor) Theeraofinfinitestorage Imaginecarryingallthemusiceverrecorded bythehumanraceinyourpocket.Thatwillbe possiblebytheendofthisdecade.Ifyouwant allthemoviesandTVprograms,too,thatwill takeonlyafewyearsmore.Orimaginemaking anaudiorecordingofyourwholelife,from beginningtoend:thatisaffordablealready. Videowillbepossibleinafewyears.Data storagedevicessuchasharddrivesandflash memoryhavegottensodenseandsocheapthat formostpurposestheirstoragecapacitywill soonbeunlimited. Theeraofinfinitestorageisabouttobegin. Felten,2010 i Contents Theeraofinfinitestorage i Contents iii 1 Introduction 1 1.1 Parallelprobe-baseddatastorage . . . . . . . . . . . . . . . . . . . 2 2 Scannersforprobedatastorage 5 2.1 Requirements. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Actuators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2.1 Electromagnetic . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2.2 Electrostaticcombdrives . . . . . . . . . . . . . . . . . . . 10 2.2.3 Electrostaticsteppermotors . . . . . . . . . . . . . . . . . 14 2.2.4 Piezoelectric . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.3 Sensorsandcontrol . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3 Amass-balancedelectrostaticx/y-scanner 21 3.1 Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3.2 Fabrication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.3 Results. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.5 Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 4 Optimizedcomb-drivefingershapeforshock-resistantactuation 31 4.1 Theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 4.1.1 Analyticalmodel . . . . . . . . . . . . . . . . . . . . . . . . 34 4.1.2 Graphicaldeterminationofequilibriumstability . . . . . 36 4.1.3 Designofoptimalshape . . . . . . . . . . . . . . . . . . . . 38 4.1.4 Asymmetricshape . . . . . . . . . . . . . . . . . . . . . . . 40 4.2 Finite-elementanalysis . . . . . . . . . . . . . . . . . . . . . . . . . 41 4.3 Experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 4.3.1 Fabrication . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 4.3.2 Measurementresults . . . . . . . . . . . . . . . . . . . . . . 47 iii 4.4 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 4.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 4.6 Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 5 Energyconsumptioncomparison 51 5.1 Generalaspects. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 5.2 Comb-driveactuation . . . . . . . . . . . . . . . . . . . . . . . . . . 54 5.3 Electrodynamicactuation. . . . . . . . . . . . . . . . . . . . . . . . 56 5.4 Seektimecalculations . . . . . . . . . . . . . . . . . . . . . . . . . . 58 5.4.1 Combdriveswith‘optim’fingers . . . . . . . . . . . . . . . 59 5.4.2 Electrodynamicactuator . . . . . . . . . . . . . . . . . . . 59 5.5 Energycostcalculations . . . . . . . . . . . . . . . . . . . . . . . . 60 5.5.1 Stayenergy . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 5.5.2 Read/writeenergy . . . . . . . . . . . . . . . . . . . . . . . 61 5.5.3 Seekenergy . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 5.6 Resultsforhypotheticaldesigns . . . . . . . . . . . . . . . . . . . . 65 5.6.1 Seektime . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 5.6.2 Stayenergy . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 5.6.3 Read/writeenergy . . . . . . . . . . . . . . . . . . . . . . . 68 5.6.4 Seekenergy . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 5.7 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 5.8 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 6 TheMicronium—amusicalMEMSinstrument 73 6.1 Theoryanddesign . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 6.1.1 Resonatortheory . . . . . . . . . . . . . . . . . . . . . . . . 74 6.1.2 Instrumentdesign . . . . . . . . . . . . . . . . . . . . . . . 75 6.1.3 Capacitiveread-out . . . . . . . . . . . . . . . . . . . . . . 76 6.1.4 Tuning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 6.2 Experimentaldetailsandresults . . . . . . . . . . . . . . . . . . . . 79 6.3 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 6.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 6.5 TheMicroniumproject . . . . . . . . . . . . . . . . . . . . . . . . . 87 6.6 Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 7 Conclusionandfutureoutlook 89 Appendices 93 A Optimalchargingofacapacitor 95 A.1 Withoutleakageresistor . . . . . . . . . . . . . . . . . . . . . . . . 95 A.2 Withleakageresistor . . . . . . . . . . . . . . . . . . . . . . . . . . 95 B Seektimeforelectrodynamicactuator 99 C ProcessFlow 103 iv Bibliography 108 Summary 118 Samenvatting 119 Publications 120 Dankwoord 122 Biography/Biografie 124 v
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