non relativistic electromagnetic scattering

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1、NON-RELATIVISTICELECTROMAGNETICSCATTERING:“REVERSEENGINEERING”USINGTHELORENTZFORCEFORMULASDanCensorBen-GurionUniversityoftheNegevDepartmentofElectricalandComputerEngineeringBeerSheva,Israel84105ABSTRACT—Foralmostacentury,velocitydependentscatteringproblemsaresol

2、vedinthecontextofEinstein’sSpecialRelativitytheory.Mostinterestingproblemsinvolvenon-uniformmotion,whichisheuristicallyjustifiedbyassumingthevalidityofthe“instantaneousvelocity”approximation.Thepresentstudyattemptstoprovideaconsistentpostulationalfoundationbyint

3、roducingboundaryconditionsbasedontheLorentzforceformulas.Themethodologyusedhereisdubbed“reverseengineering”:Beingawareoftherelativisticresults,weshowthattheyarereplicated,(atleast)tothefirstorderinb=v/cbythepresentmethod.Specificproblemsarediscussedtodemonstrate

4、thepowerofthemethod,andpavethewaytofutureresearchinthisproblemarea.Specifically,byrealizingthatattheboundarywedealwithsignals,whicharederivedfromwaves,onlythelatterbeingsubjecttothewaveequations,itisfeasibletoapplyboundaryconditionsandconstructappropriatelythesc

5、atteredwavesinspace.ItisshownthatthepresentapproachisalsoconsistentwiththeMinkowskiconstitutiverelationswhichareexploitedforsolvingproblemswherethemediummovesparallelwithrespecttotheboundaries.1.IntroductionandRationale2.TheLorentzformulaapproachandSpecialRelati

6、vity3.Boundaryconditionsformovingobjects4.TheroleoftheMinkowskiconstitutiveequations5.Normalscatteringataplaneinterface6.Obliquescatteringataplaneinterface7.Scatteringbyalineallymovingcylinder8.Scatteringbyaneccentricallyrotatingcylinder9.Discussionandconcluding

7、remarks10.References1.INTRODUCTIONANDRATIONALEItisalmostacenturysincethepublicationofEinstein’soriginalpaper[1],whichdrasticallychangedourunderstandingofphysics.ForanauthoritativereviewseePauli[2].InsteadoftheNewtonianabsolutespaceandtimetrellisonwhichthephysica

8、lworldwasuntilthendescribed,wehavenowaninfinitumofinertialreferencesystemsrelatedbytheLorentztransformation.Againstthisnewbackdrop,manyproblemsofphysicshavebeeninvest