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1、INVITEDPAPERRecentAdvancesinMetamaterialTransmissionLinesBasedonSplitRingsRecentadvancesinmetamaterialtransmissionlinesarereviewedinthispaper;anumberofenabledmicrowaveapplicationsincludingcompactwidebandfiltersandpowersplittersaredescribed.ByMiguelDura´n-Sindre
2、u,StudentMemberIEEE,AdolfoVe´lez,GerardSiso´,MemberIEEE,ParisVe´lez,JordiSelga,JordiBonache,MemberIEEE,andFerranMartı´n,SeniorMemberIEEEABSTRACT
3、Thispaperisfocusedonmetamaterialtransmis-I.INTRODUCTIONsionlinesbasedonsplitrings.Specifically,theconsideredlinesMet
4、amaterialtransmissionlinescanbeconsideredone-arethosebasedonthehybridapproach,wherecomplemen-dimensional(1-D)metamaterials;theyare1-Dhomoge-tarysplitringresonators(CSRRs)arecombinedwithseriesneouspropagatingstructuresconsistingonahostlinegapsandshuntinductivest
5、ubs,andthoseimplementedbyperiodicallyloadedwithreactiveelements,andexhibitingloadingahostlinewithopensplitringresonators(OSRRs)andcontrollableelectromagneticproperties.Althoughmeta-opencomplementarysplitringresonators(OCSRRs).Thematerialtransmissionlinesare1-Ds
6、tructures,theydodispersioncharacteristicsandthecharacteristicimpedancehaveidentifiableeffectiveconstitutiveparameters(theofsuchlines,essentialfordesignpurposes,areanalyzedtoeffectivepermittivity,"eff,andpermeability,"eff),accord-thelightofthelumpedelementequiva
7、lentcircuitmodelsofingtothefollowingexpressions:thelines.Finally,itisshownthathybridlinesareusefulforthedesignofpowersplitterswithfilteringcapability,andOSRR/OCSRR-loadedlinesareofinterestforthedesignof0Zsð!Þ¼j!eff(1)widebandbandpassfilters.Theachievedperforma
8、ncesareY0ð!Þ¼j!":(2)satisfactoryanddevicedimensionssmall.peffKEYWORDS
9、Metamaterials;metamaterialtransmissionlines;Expressions(1)and(2)resultfromthemappingbetweenthemicrowavefilters;splitringresonatorsequationsdescribingTEMwavepropagationinplanartransmissionmedi
10、aandplanewavepropagationinisotropicandhomogeneousdielectrics(telegraphistsequation)[1][3].Z0andY0aretheperunitlengthseriesimpedanceandshuntspadmittanceoftheequivalentT-or-c
