To generator Transmission Line Generator Load To generator + - angle change = 2dġ7 Recall: The impedance repeats every half of a wavelength. From the second one we have: Substituting into the first one, we haveġ1 Smith Chart (cont.) Algebraic simplification: Multiply by yġ2 Smith Chart (cont.) This defines the equation of a circle: Note:Ĭomplete the square This defines the equation of a circle: Note: center: radius:ġ4 Smith Chart (cont.) Actual Smith chart:ġ5 Smith Chart (cont.) Important points on chart: S/C Perfect Match O/Cġ6 Smith Chart (cont.) + - angle change = 2d Generator Transmission Line Group the right-hand side terms Simplify the right-hand sideĩ Smith Chart (cont.) This defines the equation of a circle: Note:ġ0 Smith Chart (cont.) Next, we eliminate the resistance from the two equations. Simplify the right-hand side Expand the (1-x)2 term Take the third term across the equal sign Divide by the term in parenthesisĨ Smith Chart (cont.) Complete the square Substituting into the first one, and multiplying by (1-x), we haveħ Smith Chart (cont.) Algebraic simplification: When asked why he invented this chart, Smith explained: “From the time I could operate a slide rule, I've been interested in graphical representations of mathematical relationships.” In 1969 he published the book Electronic Applications of the Smith Chart in Waveguide, Circuit, and Component Analysis, a comprehensive work on the subject.Ĥ Smith Chart (cont.) The Smith chart is really a complex plane:ĥ Smith Chart (cont.) Denote (complex variable) so Real part:Ħ Smith Chart (cont.) From the second one we have Phillip Smith invented the Smith Chart in 1939 while he was working for The Bell Telephone Laboratories.
Smith graduated from Tufts College in While working for RCA, he invented his eponymous Smith chart. (April 29, 1905–August 29, 1987) was an electrical engineer, who became famous for his invention of the Smith chart. A network analyzer (Agilent N5245A PNA-X) showing a Smith chart.ģ Smith Chart (cont.) From Wikipedia: Phillip Hagar Smith Jackson Fall 2018 Notes Transmission Lines (Smith Chart)Ģ Smith Chart The Smith chart is a very convenient graphical tool for analyzing transmission lines and studying their behavior. Presentation on theme: "Notes 12 Transmission Lines (Smith Chart)"- Presentation transcript:ġ Notes 12 Transmission Lines (Smith Chart)ĮCE 3317 Applied Electromagnetic Waves Prof.
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