Title :
Fractional Smith Chart Theory
Author :
Shamim, A. ; Radwan, A.G. ; Salama, K.N.
Author_Institution :
Electr. Eng. Program, King Abdullah Univ. of Sci. & Technol. (KAUST), Thuwal, Saudi Arabia
fDate :
3/1/2011 12:00:00 AM
Abstract :
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 towards impedance matching networks, where the fractional approach proves to be much more versatile and results in a single element matching network for a complex load as compared to the two elements in the conventional approach.
Keywords :
impedance matching; lumped parameter networks; network analysis; analytical method; fractional order circuit elements; generalized fractional order Smith chart; graphical technique; impedance matching networks; integer based lumped elements; single element matching network; Capacitors; Impedance; Impedance matching; Inductors; Microwave circuits; Resistance; Fractional; Smith chart; matching elements;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2010.2098861