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1、AGeneralized2-DMultiportModelforPlanarCircuitswithSlotsinGroundPlanebyAmirrezaKhajehnasiriAthesispresentedtotheUniversityofWaterlooinfulfilmentofthethesisrequirementforthedegreeofDoctorofPhilosophyinElectricalandComputerEngineeringWaterloo,Ontario,Canada,2005°cAmirrezaKhajehnasiri2005AUTH

2、OR’SDECLARATIONFORELECTRONICSUBMISSIONOFTHETHESISIherebydeclarethatIamthesoleauthorofthisthesis.Thisisatruecopyofthethesis,includinganyrequiredfinalrevisions,asacceptedbymyexaminers.Iunderstandthatmythesismaybemadeelectronicallyavailabletothepublic.iiAbstractWithincreasingcomplexityofmicr

3、owaveintegratedcircuitsandtendencyto-wardsbuildingintegratedmodules,realestateinprintedcircuitboardsbecomesmoreatpremium.Ontheotherhand,buildingMIC’sonasinglesemiconductorsubstratesuchasGaAshasotherdrawbacksassubstraterequirementsfordifferentcomponentsaresometimescontradictory.Thishasmoti

4、vatedresearcherstocon-sidermulti-layerandstackeddesigns.Multi-layerplanarcircuitsofferadvantagesthatcannotbeequalledbytraditionalsinglelayerdesigns.Inthisrespect,anewclassofplanarstructures,baseduponamulti-layeredstackofdual-modestriplineormicrostrippatchesisbecomingincreasinglypopular.In

5、thenewstackedde-sign,couplingbetweenplanarcircuitsseparatedbyagroundplaneisaccomplishedthroughcouplingaperturesinthecommongroundplane.Thisthesisisaboutdevelopingannewapproximatemultiportnetworkmodelforfastanalysisofmulti-layeredplanarstructureswithgroundplaneslots.Toextendapplicabilityof

6、multiportnetworkmodel(MNM)totheclassofplanarstructurescontaininggroundplaneslots,ageneralizednetworkformulationforapertureproblemsiscombinedwithtraditionalMNMtoaccountforthepresenceoftheslot.Tothisend,theslotisreplacedbyanunknownequivalentsurfacemagneticcurrent.Slotportsaredefinedintermso

7、felectricandmagneticfieldsovertheslotinaccordancewiththegeneralizednetworkformulationforapertureproblems.WhiletraditionalMNMforplanarcircuitsisbasedongeneralizedimpedancematrices,weadoptahybridmatrixapproachformulti-layerstructures.Thehybridmatrixconsistsoffoursub-matrices