fractional order circuit elements

Theory and Numerical Methods-Fractional Smith Chart Theory

1 min read · Thu, May 12 2011

fractional order circuit elements Circuits generalized Smith chart

Atef Shamim, et al., "Fractional Smith Chart Theory," in IEEE Microwave and Wireless Components Letters 21, (3), 117. For the first time, a generalized Smith chart is introduced here to represent fractional order circuit elements. It is shown that the standard Smith chart is a special case of the generalized fractional order Smith chart. With illustrations drawn for both the conventional integer based lumped elements and the fractional elements, a graphical technique supported by the analytical method is presented to plot impedances on the fractional Smith chart. The concept is then applied