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1、106IEELIRANSACTIONSONMICROWAVETHFORYANDTKHNIQUES.VOL36.NO1,JANUARY1988GalerkinSolutionfortheThinCircularIrisinaTE,,-ModeCircularWaveguideAhstruct-AnintegralequationforthetransverseelectricfieldintheTheunknownintheboundaryvalueproblemistheapertureofaconcentriccircularirisinatransverseplaneofa
2、circularapertureelectricfield,fromwhchthewaveguidefieldsarewaveguideisapproximatelysolvedbyGalerkin’smethod.Theaperturedetermined.TheGalerkinmethodisformulatedforthefieldisrepresentedbyafinitesumofnormalTEandTMcircularwaveguidemodesthatfitthecircularaperture.Thenumericalconvergencecaseofthet
3、ransversejunctionbetweentwoperfectlycon-oftheGalerkinsolutionisdemonstratedviaresultantaperturefieldductingcylindricalwaveguidesofgeneralcrosssection.distributionsandequivalentshuntsusceptanceforthecaseofdominantTheportionofthejunctionplanethatextendsintotheTE,,-modeexcitation.Theresultantap
4、ertureelectricfielddistributioninterior(theiris)istakentobeinfinitesimallythin.ThecloselyresemblesthatoftheTE,,aperturemodealone,exceptforedgeformulationisimplementedfortheTE,,excitationofthe.conditionbehaviorattheedgeoftheins.Aresonantorcapacitiveirisispossibleoverarestrictedrangeoffrequenc
5、ies.circularirisinacircularwaveguide,andseveralresultantapertureelectricfielddistributionsaregiven.AfamilyofdesigncurvesforthevariationoftheequivalentshuntI.INTRODUCTIONsusceptanceasafunctionofirissizeb/aandelectricalHESPECIFICAPERTUREunderconsiderationissizeofthecircularwaveguideKaisalsogiv
6、en,whereTthatofaninfinitesimallythincircularirisofinnerK=2r/histhewavenumberoftheunboundeddielectricradiusbinatransverseplaneofacircularwaveguideofinthewaveguide.radiusa,asshowninFig.1.Thecircularirisisconcentricwiththeaxisofthecircularwaveguide.Thecaseofcir-11.DERIVATIONOFELECTRICFIELDcular
7、lysymmetricexcitation(TE,,,TM,,modes)ofthisINTEGRALEQUATIONcircularirisortherelatedstepchangeinwaveguidediame-Theportionofeachwaveguidecrosssectionintheterproblemisconsideredbymanyauthors,forexampletransverseplanez=0thatdoesnotcoincidewiththe[1]-[5