8. Electromagnetic Cloaks and Concentrators

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1、FilippoCapolino/ApplicationsofMetamaterials_CFinalsPage--#8ElectromagneticCloaksandConcentrators.Introduction.........................................-.Formulation..........................................-FieldsInsideandOutsidethe

2、AnnulusoftheCloak.SphericalCloaks.....................................-PoyntingVectorandPhaseVelocityArthurD.Yaghjian.NonscatteringSphericalConcentrators...............-Concord,Massachusetts.CircularCylindricalCloaks..........................-

3、.NonscatteringCircularCylindricalConcentrators....-StefanoMaci.ImplicationsofCausality–EnergyConditions........-UniversityofSiena.Conclusions..........................................-EnricaMartiniAcknowledgments............................

4、.............-UniversityofSienaReferences.................................................-BeginningwithastraightforwardformulationofelectromagneticcloakingthatreducestoaboundaryvalueprobleminvolvingasingleMaxwellfirst-orderdifferentialequation,expli

5、citformulasfortherelativepermittivity–permeabilitydyadicandfieldsofsphericalandcircularcylindricalannularcloaksarederivedintermsofgeneralcompressedradialcoordinatefunctions.Thegeneralformula-tionisbasedontherequirementthatcloakingoccursforallpossibleincide

6、ntfieldsandthatcloakshavecontinuoustangentialcomponentsofEandHfieldsacrosstheiroutersurfaces,andzeronormalcomponentsofDandBfieldsattheirinnermaterialsurfaces.Thetangential-fieldboundarycondi-tionsattheoutersurfaceofthecloakensurezeroscatteredfields,andthen

7、ormal-fieldboundaryconditionsattheinnersurfaceofthecloakarecompatiblewithzerototalfieldsinsidetheinteriorcavityofthecloak.Forsphericalcloaks,unlikecylindricalcloaks,theseboundaryconditionsleadtoallthetangentialcomponentsoftheEandHfieldsbeingcontinuouslyzer

8、oacrosstheirinnersurfaces—cylindricalcloakshavingdeltafunctionsinpolarizationdensitiesattheirinnersurfaces.ForH-waveincidentfields,anonmagneticcircularcylindricalannulusisfound,whichhasnonzeroscatteredfieldsb