标签: fields

Time-HarmonicElectromagneticFields,RogerF.Harrington,IEEEPress

nonlinearpiezoelectricbehaviorofceramicbendingmodeactuatorsunderstrongelectricfieldsJOURNALOFAPPLIEDPHYSICSVOLUME86,NUMBER615SEPTEMBER1999NonlinearpiezoelectricbehaviorofceramicbendingmodeactuatorsunderstrongelectriceldsQing-MingWang,a)QimingZhang,BaominXu,RuibinLiu,andL.EricCrossIntercollegeMaterialsResearchLaboratory,ThePennsylvaniaStateUniversity,UniversityPark,Pennsylvania16802-4801Received18December1998;acceptedforpublication9June1999Thenonlinearelectromechanicalbehaviorofcantileveredpiezoelectricceramicbimorph,unimorph,andreducedandinternallybiasedoxidewaferactuatorsisstudiedinawideelectriceldandfrequencyrange.Itisfoundthatunderquasistaticcondition,linearrelationshipsbetweenactuatortipdisplacement-electriceld,andblockingforce-electriceldareonlyvalidunderwea……

completeanalysisofapolynomialfactorizationalgorithmoverfinitefieldsJournalofAlgorithms40,37812001.doi:10.1006rjagm.2001.1158,availableonlineathttp:rrwww.idealibrary.comonTheCompleteAnalysisofaPolynomialFactorizationAlgorithmoverFiniteFieldsP.FlajoletandX.GourdonAlgorithmsProject,INRIARocquencourt,F-78153LeChesnay,FranceE-mail:Philippe.Flajolet@inria.fr,Xavier.Gourdon@inria.frandD.PanarioSchoolofMathematicsandStatistics,CarletonUni¨ersity,OttawaK1S5B6,CanadaE-mail:daniel@math.carleton.caReceivedJuly7,2000;publishedonlineJune9,2001Aunifiedtreatmentofparametersrelevanttofactoringpolynomialsoverfinitefieldsisgiven.Theframeworkisbasedongeneratingfunctionsfordescribingparametersofinterestandonsingularityanalysisforextractingasymptoticvalues.Anoutcomeisac……

understandelectromagneticfieldsandantennaradiationtakesnomathdesignfeatureByRonSchmitt,SensorResearchandDevelopmentCorpLIKEMOSTEEs,YOUPROBABLYWISHYOUHADABETTERUNDERSTANDINGOFELECTROMAGNETICFIELDSANDWAVES.MAYBETHECOMPLEXMATHKEEPSYOUFROMDELVINGMOREDEEPLYINTOTHESUBJECT.THISINTUITIVETREATMENTGOESLIGHTONMATH.INSODOING,ITBRINGSLIFETOATOPICTHATMANYFINDDRYANDCONFUSING.Understandingelectromagneticfieldsandantennaradiationtakes(almost)nomathUnderstandingantennasandelectromagnet-fendlawswithoutregardtothetruth.EvenwithouticfieldsisobviouslyimportantinRFengi-mydevice,thestrayelectromagneticenergyfromtheneering,inwhichcapturingandpropagatingpowerlinesisradiatedawayandlost,soImightaswavesareprimaryobjectives.Anunderstandingofwelluseit.”T……