2009MOTL_Theory of The Spherical Generalized Smith ChartTHEORY OF THE SPHERICAL GENERALIZED SMITH CHART Yongle Wu,1 Yaxing Zhang,1 Yuanan Liu,1 and Haiyu Huang2 School of Telecommunication Engineering, Beijing University of Posts and Telecommunications, P.O. Box. 171, Beijing 100876, China; Corresponding author: wuyongle138@gmail.com 2 Department of Electrical Engineering, Columbia University, New York, NY 10027 1 Γ3 D D A Γ2 φ A O t B C t Γ1 B Γ2 C Received 19 May 2008 ABSTRACT: As a complement for the spherical representation of the Smith chart, this letter extends the previous work by giving the exact mathematical expressions of the spherical Smith chart and the spherical generalized Smith chart. Rigorous derivations and typical illustrations are also provided to support the theory. 2008 Wiley Periodicals, Inc. Microwave Opt Techn……