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The Math behind the Smith Chart (and other good Wikipedia notes)Įxam Prep: Example Exam question on Smith Charts.pdfĪnd Just for Fun. They are often used to design RF/microwave circuits, impedance matching systems, etc. You try to design the antenna so the tip of the loop is as close to the center of the Smith chart as you can, at the frequency where you want to use the antenna.Ĭalculation: Smith charts allow microwave engineers to add or subtract impedances, compute the effect of length or phase shift, amplify or attenuate signals, and convert from impedance (Z) to admittance (Y), among other things. Once around the circle is a line length of l/2. The impedance is represented by a normalized impedance z.
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It also allows the calculation of the admittance Y 1/Z of an impedance. The little loop in the center would be typical of a resonant structure, like an antenna. The Smith Chart The Smith Chart allows easy calculation of the transformation of a complex load impedance through an arbitrary length of transmission line. For the frequencies where the yellow line below is near the outside of the Smith chart, we know it has a high impedance. Check out this tutorial on network analyzers, page 16, to see more. Smith charts are one way of displaying this data. Measurement: Impedance of electromagnetic devices is often measured using network analyzers, which show both the magnitude and phase of this impedance as a function of frequency. In general, the book describes the mechanics of these charts in relation to the guided-wave and circuit theory and, with examples, their practical use in. Power point to take notes on: L12 smith charts.ppt.Lecture Videos: (Watch these video lectures before coming to class):
#How to use a smith chart free#
#How to use a smith chart generator#
–Rotating / moving distances towards generator or load.–Reflection Coefficient (Real/Imaginary or Polar Form).In this instruction set we use a dummy example to design a single parallel short circuited stub to match the characteristic impedance of a transmission line (as show below). Using a Smith Chart, How do you plot/find: use of a Smith chart is the design of single stubs for impedance matching.