TY - GEN
T1 - Mathematics behind the fractional-order smith chart
AU - Radwan, Ahmed
AU - Shamim, A.
AU - Salama, K. N.
PY - 2011
Y1 - 2011
N2 - This paper derives the theory for a fractional order Smith chart and provides a comparison between the impedance and admittance fractional order Smith charts. Basic chart features such as boundaries, critical points, peak values, matching (unity) circle, and the central angle are investigated and compared. Mathematical analysis for these basic features and standard Smith chart functions is also described. This Smith chart can be used to study the scattering parameters in fractional-order RF designs. In addition, it may be used for inverse problems whose models depend on fractional-order electrical elements.
AB - This paper derives the theory for a fractional order Smith chart and provides a comparison between the impedance and admittance fractional order Smith charts. Basic chart features such as boundaries, critical points, peak values, matching (unity) circle, and the central angle are investigated and compared. Mathematical analysis for these basic features and standard Smith chart functions is also described. This Smith chart can be used to study the scattering parameters in fractional-order RF designs. In addition, it may be used for inverse problems whose models depend on fractional-order electrical elements.
UR - http://www.scopus.com/inward/record.url?scp=84858145236&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84858145236
SN - 9781934142189
T3 - Progress in Electromagnetics Research Symposium
SP - 155
EP - 159
BT - PIERS 2011 Suzhou - Progress in Electromagnetics Research Symposium, Proceedings
T2 - Progress in Electromagnetics Research Symposium, PIERS 2011 Suzhou
Y2 - 12 September 2011 through 16 September 2011
ER -