标签: 2009motl

2009MOTL_TheoryofTheSphericalGeneralizedSmithChartTHEORYOFTHESPHERICALGENERALIZEDSMITHCHARTYongleWu,1YaxingZhang,1YuananLiu,1andHaiyuHuang2SchoolofTelecommunicationEngineering,BeijingUniversityofPostsandTelecommunications,P.O.Box.171,Beijing100876,China;Correspondingauthor:wuyongle138@gmail.com2DepartmentofElectricalEngineering,ColumbiaUniversity,NewYork,NY100271Γ3DDAΓ2φAOtBCtΓ1BΓ2CReceived19May2008ABSTRACT:AsacomplementforthesphericalrepresentationoftheSmithchart,thisletterextendsthepreviousworkbygivingtheexactmathematicalexpressionsofthesphericalSmithchartandthesphericalgeneralizedSmithchart.Rigorousderivationsandtypicalillustrationsarealsoprovidedtosupportthetheory.2008WileyPeriodicals,Inc.MicrowaveOptTechn……