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predicttheexistenceofelectromagneticwave.IndetailI’velearnedthebasicarithmeticaloperationofelectromagneticwave,thederivationofMaxwellequationsandthePoyntingvectorandguidedelectromagneticwave.ThebasicarithmeticaloperationofelectromagneticHamitonoperator:=e11h

h

h hfgradfGe11fh

1h

1h FdivF[e11h

h

][eFeFeFh 1 2 3 = =[

(Fhh)

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(Fhhhh 12 21

3112 FdSFFdSFdFrotF[e 1h

e2h

][eFeFeFh 1 2 3 = =h1h2h3 F1h1F2h2F)dSlF)dSlFThederivationofMaxwell(Therotationofmagnetic lHdlSJSHSSJH Faraday'slawofEdldBd dtEdl

Bd EdS

Bd E(Thedivergenceofelectronicfield)Gauss’slawinelectronicSDdSDdD(Thedivergenceofmagnetic Gauss’slawinmagneticSBdSBdBIntegralAmperecircuitaltheorem(Therotationofmagneticfield)HJ+Hdl(J+D) Faraday'slawofinduction(Therotationofelectronicfield)EEdlBd Gauss’slawinelectronicDDdGauss’slawinmagnetic(ThedivergenceofmagneticBSBdSSomeotherimportantAuxiliaryequationofMaxwell

HH4lBiot-Savart4l cementcurrent 0 meansthetimerateofchangeelectricfluxED1TheenergyofelectricfieldandED1

Magneticfield:

BH1BH1Poynting1).Meaning:ThemodulevalueofPoyntingvectorshowsthepowerthroughunitareainthedirectionof

S=E均匀平面电磁波Uniform neelectromagneticwave:equiphasesurfaceisa neandintheequiphasesurfacethedirectionandthemodulevalueofvectoristhesameatanypoint.电磁波的极化polarizationofelectromagneticWHAT?ThetrajectoryoftheendofthetransientelectricfieldWHY?Becausewhenweresearchtheproblemofreflectionandrefraction,thedirectionofmicrowaveafterreflectionorrefractionisrelatedtothedirectionofpolarization.相速度phasevelocity:Thevelocityof pv (c p 0=4*10-7permeabilityof permittivityofTotalrefraction:Theenergyofwaveistotallytransmittedintotheother垂直极化波verticallypolarizedwave:R02cos11水平极化波horizontalpolarizedwave:R0coscos(;

iscalledtheBrewster

If0,thenthetotalreflectionwillTheconductororthemediumofguidedelectromagneticfieldcanguidethetransmissionofelectromagneticwave.Thedevicethatusedtoguideelectromagneticwaveiscalledwaveguide.We’velearnedrectangularwaveguideAsfortheelectromagneticwave,we’velearnedthreekinds,thereTE(TransverseElectric),TM(TransverseElectric),TEM(TransverseElectricandMagneticField)TE:noelectricfieldinthedirectionofpropagation.(Theelectronicvectorexistonlyinthene,whichisperpendiculartothedirectionoftransmission.)TM:nomagneticfieldinthedirectionofpropagation.(Themagneticvectorexistonlyinthene,whichisperpendiculartothedirectionoftransmission).TEM:noelectromagneticfieldinthedirectionofpropagation.(Themagneticvectorandtheelectronicvectorallexistonlyinthene,whichisperpendiculartothedirectionofThetransversemode:Theyrepresentthat,thevectorpresentm/2periodofsinechangeamongthexaxis,n/2periodofsinechangeamongtheyaxis,p/2periodofsinechangeamongthezaxisThiscourseisthebasisofmymajor,I’velearnedseveral yticalmethodto ysistheBasic集总电路定义lumpedThelumpedcircuitareconsistsoflumpedparameterelement,andthelumpedparametermeansthatthesizeofelementisfarsmallerthanthesizeofwordfrequencysize 10* Apointatwhichterminalsofmorethantwocomponentsarejoined.AconductorwithasubstantiallyzeroisconsideredtobeanodeforthepurposeBranch:Thecomponent(s)joiningtwoMesh:AgroupofbrancheswithinanetworkjoinedsoastoformacompleteloopsuchthatisnootherloopinsideitPort Twoterminalswherethecurrentintooneisidenticaltothecurrentoutofthe,阻抗Impedance---Z,电抗Reactance--- Z导纳Admittance---Y,电纳Susceptance---B,YInparallel,Inytical TheprincipleofconservationofelectricchargeimpliesAtanynode(junction)inanelectricalcircuit,thesumofcurrentsflowingintothatnodeisequaltothesumofcurrentsflowingoutofthatnodeorThealgebraicsumofcurrentsinanetworkofconductorsmeetingatapointisThecurrententeringanyjunctionisequaltothecurrentleavingthatjunction.i2+i3=i1+i4 TheprincipleofconservationofenergyimpliesThedirectedsumoftheelectricalpotentialdifferences(voltage)aroundanyclosednetworkiszero,or:Moresimply,thesumoftheemfsinanyclosedloopisequivalenttothesumofthepotentialdropsinthatloop,or:Thealgebraicsumoftheproductsofthesoftheconductorsandthecurrentsintheminaclosedloopisequaltothetotalemfavailableinthatloop.Thesumofallthevoltagesaroundaloopisequaltozero.v1+v2+v3-v4=0Thesuperpositiontheoremforelectricalcircuitsstatesthatforalinearsystem,theresponse(voltageorcurrent)inanybranchofalinearcircuithavingmorethanoneindependentsourceequalsthealgebraicsumoftheresponsescausedbyeachindependentsourceactingalone,wherealltheotherindependentsourcesarerecedbytheirinternalimpedancesturnedoffequivalentmodels.Toascertainthecontributionofeachindividualsource,alloftheothersourcesfirstmustbe"turnedoff"(settozero)by:RecingallotherindependentvoltagesourceswithashortRecingallotherindependentcurrentsourceswithanopenAnylinearelectricalnetworkwithvoltageandcurrentsourcesandonlyscanberecedatterminalsA-Bbyanequivalentvoltagesourceinseriesconnectionwithanequivalent.ThisequivalentvoltageisthevoltageobtainedatterminalsA-BofthenetworkwithterminalsA-Bopencircuited.Thisequivalent isthe obtainedatterminalsA-BofthenetworkwithallitsindependentcurrentsourcesopencircuitedandallitsindependentvoltagesourcesshortAnylinearelectricalnetworkwithvoltageandcurrentsourcesandonlyscanberecedatterminalsA-BbyanequivalentcurrentsourceINOinparallelconnectionwithanequivalentRNO.ThisequivalentcurrentINOisthecurrentobtainedatterminalsA-BofthenetworkwithterminalsA-Bshortcircuited.ThisequivalentRNOistheobtainedatterminalsA-Bofthenetworkwithallitsvoltagesourcesshortcircuitedandallitscurrentsourcesopencircuited. umoutputZLZS,RLRS,XLVCRofcapacitorand i(t)dCuC u(t)dLi zero-stateresponse:thestartstateiszero-inputresponse:theinputoft0isSomethingaboutTheequivalentvoltageorcurrentthatproducethesameamountofenergyinafixedtimewithrealvoltage/current.Theportionofpowerthat,averagedoveracompletecycleoftheACwaveform,resultsinnettransferofenergyinonedirectionisknownasactivepower(sometimesalsocalledrealpowerTheportionofpowerduetostoredenergy,which

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