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1、TechniquesforAnalyzingFrequencySelectiveSurfaces-AReviewInthispaperwediscussanumberofrepresentativetechniquesforanalyzingFrequencySelectiveSurfaces(FSSs),whichcomprisetzperiodicarraysofpatchesoraperturesinaconductingscreenandfindimportantapplicationsa
2、sfiltersinmicrowavesandoptics.WereviewthebasicpropertiesoftheFSSsanddescribeseveraldiffer-entapproachestopredictingtheirfrequencyresponsecharacter-istics.Somerecentdevelopmentsinthetreatmentoftruncated,curved,anddoublyperiodicscreensarementionedandrep
3、resen-tativeresultsareincluded.I.INTRODUCTIONFrequencySelectiveSurfaces(FSSs),whichfindwide-spreadapplicationsasfiltersformicrowavesandopticalsignals,havebeenthesubjectofextensivestudiesinrecentyears.Thesesurfacescompriseperiodicallyarrangedmetallicpa
4、tchelementsorapertureelementswithinametallicscreenandexhibittotalreflection(patches)ortransmission(apertures)intheneighborhoodoftheele-amentresonance.TypicalFSSgeometriesareshowninFig.’I1.Thereflectionortransmissionbandispredictedbyana-lyzingthesurfac
5、eusingtechniqueswhichareefficientandwhichcanmodelawiderangeofconfigurations.Inthispaper,techniquescurrentlyusedinthisanalysisarereviewed.ThetechniquesareusedinthedesignofFSSsand,asoutlinedinthelastsectionofthispaper,arethebasisforresearchintorelatedst
6、ructures.Historically,’theunderstandingoftheprinciplesunder-lyingthephysicsoffrequencyselectivesurfaceshasdirectly-,’,‘,,,,,,’,‘,’,,,,,,’,,,,evolvedfromtheinvestigationofdiffractiongratingsin(b)(C)opticswhichareusedtodecomposeabeamofnon-Fig.1.Geometry
7、offrequencyselectivescreen.(a)Free-monochromaticlightintoitsspectralorders.ThisfilteringstandingFSS.(b)FSSwithadielectricsubstrate.(c)FSSwithprocess,aswellasthediffractiongratingitself,wasdis-bothadielectricsubstrateandasuperstrate.ManuscriptreceivedM
8、ay23,1988;revisedSeptember30,1988.coveredbytheAmericanphysicistDavidRittenhouse,asTheworkattheUniversityofIllinoiswassupportedinpartbythedocumentedbyanengagingscientificexchangebetweenJointServicesElectronicsProgramatthecoordinatedScienceLab-F