The Smith chart can be used to simultaneously display multiple parameters including impedances, admittances, reflection coefficients, S n n. The Smith Chart, named after its Inventor Phillip Smith, developed in the 1940s, is essentially a polar plot of the complex reflection coefficient for arbitrary impedance. It was independently devised by Tōsaku Mizuhashi ( 水橋東作) in 1937, and by Amiel R. The Smith chart is a powerful graphical tool and mastering the Smith chart is essential to entering the world of RF and microwave circuit design as all practitioners use this as if it is well understood by others. The Smith chart (sometimes also called Smith diagram, Mizuhashi chart ( 水橋チャート), Mizuhashi–Smith chart ( 水橋スミスチャート), Volpert–Smith chart ( Диаграмма Вольперта-Смита) and Mizuhashi–Volpert–Smith chart), is a graphical calculator or nomogram designed for electrical and electronics engineers specializing in radio frequency (RF) engineering to assist in solving problems with transmission lines and matching circuits. The domain of definition of the reflection coefficient for a loss-less line is a circle of unitary radius in the complex plane. Electrical engineers graphical calculator From a mathematical point of view, the Smith chart is a 4-D representation of all possible complex impedances with respect to coordinates defined by the complex reflection coefficient.
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