For those who have ever tried to decipher the Smith Chart and figure out how to use it, here is a Tutorial that consists of 5 Flash programs with embedded audio. These programs will allow you to learn the Smith Chart through interactive flash programs.
Tutorial 1: Basics of the Smith Chart: Impedance, Admittance charts, Reflection Coefficient representation.
Tutorial 2: Use the Smith Chart to Match an arbitrary load using Lumped Capacitor and Inductor components
Tutorial 3: Use the Smith Chart to see how transmission line affects the reflection coefficient. Also match an arbitrary load using a transmission line and a Lumped (Capacitor/Inductor) element.
Tutorial 4: Learn Basic Stub Tuning:Use the Smith Chart to see to convert a transmission line into Equivalent Capacitors and Inductors.
Tutorial 5: Learn to Convert the Smith Chart results into actual Capacitor and Inductor Values and into actual transmission Line lengths. This shows how to convert the 1-ohm Smith chart to a 50 ohm chart and how to get useful real world design results
Plus a Flash Program that shows how to convert Susceptance and Reactance values into actual Inductor and Capacitor values.
Most of the file space on the tutorials is audio. There are spelling errors and the guy doing the explaining isn't the best lecturer in the world, but the interactive animated graphics are helpful in understanding how the chart works.
I have always found the Smith Chart about as easy to decipher as Egyptian Hieroglyphics.
http://www.fourier-series.com/rf-concepts/smithchart.htmlAt the left of the screen you will find a list of similar tutorials on other mathematical and engineering topics.