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4、erefractiveindexofreciprocalelectromagneticmediaMartinWMcCall,PaulKinslerandRenèDMTopfDepartmentofPhysics,TheBlackettLaboratoryImperialCollegeofScience,TechnologyandMedicinePrinceConsortRoad,LondonSW72AZ,UKE-mail:m.mccall@imperial.ac.ukReceived14September2015,revised18November2015
5、Acceptedforpublication20November2015Published1April2016AbstractWestudytheelectromagneticsofmediadescribedbyidenticalinhomogeneousrelativedielectricandmagnetictensors,=m.Suchmediaoccurgenericallyasspatialtransformationmedia,i.e.electromagneticmediathataredefinedbyadeformationofspac
6、e.Weshowthatsuchmediaarecompletelydescribedbyarefractiveindexn(rs,ˆ)thatdependsonpositionranddirectionsˆ,butisindependentofpolarization.Thephasesurfaceisalwaysellipsoidal,andn(rs,ˆ)isthereforerepresentedbytheradiusvectortothesurfaceoftheellipsoid.Weapplyourmethodtocalculatetheangu
7、lardependenceoftherefractiveindexinthewell-studiedcylindricalcloakandtoanewkindofstructurallychiralmediuminducedbyatwistdeformation.Bywayofasimpleexamplewealsoshowthatmediaforwhich=mdonotingeneralpreservetheimpedancepropertiesofvacuum.Theimplicationsofthissomewhatsurprisingconclu
8、sionforthefieldoftransformationopt