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1、334IEEETRANSACTIONSONMICROWAVETHEORYANDTECHNIQUES,VOL.38,NO.3,MARCH1990InputImpedanceofaCoaxialLineProbeFeedingaCircularWaveguideintheTMo1ModeIR.H.MACPHIE.SENIORMEMBER,IEEE,M.OPIE,IInANDc.R.RIESAbstrucf-Bymeansoftheconservationofcomplexpowertechnique(CCPT),aformallyexactfull-wavesolutionisg
2、ivenforthecaseofacoaxiallineprobefeedingacircularwaveguideforTM,,modalexcitation.Theoverallscatteringmatrixofthecoaxiallineprobe-circularwaveguidesystemisdeducedandnumericalresultsfortheimpedanceas“seen”bythecoaxiallinearepresentedandcomparedwithexperimentalresultsobtainedinthe9.0-11.5GHzfr
3、equencyrange.I.INTRODUCTIONCoaxialtransmissionlinediscontinuitiesreceivedearlyatten-tioninaclassicpaper[l]byWhinnery,Jamieson,andRobbins,whousedfull-wavemodalanalysistoobtaintheequivalentCIRCULARWAVEGUIDEshuntingcapacitancesforavarietyofsuchjunctions.AboutaFig.1.Acircularwaveguidefedbyacoax
4、iallineprobeforTM,,modeexcitation.quarterofacenturylater,Risley[2][3],bycombiningmodalanalysisandtheRayleigl-Ritzvariationaltechnique,consideredthejunctionofacoaxiallinewithalargercircularwaveguide.TABLEIAnaturalsequeltoRisley’sworkistoletthecoaxialline’sCONVERGENCLotr=s;,(K)FORTHECASEOFc,=
5、2.00c,,,c2=c,,,centerconductorextendintothecircularguide(asinFig.l),u,=0.456mm,h1=1.50mm,h,=h,=14.1mm,f=lOGHztherebycreatinganaxialprobewhichefficientlyexcitestheTMoltnN,1modeinthecircularguide.Thepresentpaperprovidesafull-wavesolutiontothisproblem;theconservationofcomplexpowertechnique(CCP
6、T)[4]-[6]andthegeneralizedscatteringmatrixr=0.16650-j0.34122l-=0.16658-j0.34114technique[7]areusedandnumericalresultsarepresentedforar=0.16653-j0.34113r-0.16660-j0.34105varietyofcases.Moreover,experimentalresultsforacircularguidewithaTM,,modecutofffrequencyof8.14GHzfedbyanaxialprobeanda50Ds
7、emirigidcoaxialcableshowquitegoodagreementwiththenumericalresultsobtainedbytheCCPT.necessarytodeduce[SA]and[S,],aregivenintheAppendix.Using[SA]and[S,]withthegeneralizedscatteringmatrixtech-11.!SOLUTIONOFTHESCATTERINGPROBLEMBYTHEnique[7]wecanobtainanexpre
