Mathematics behind the fractional-order smith chart

Ahmed Radwan*, A. Shamim, K. N. Salama

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


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.

Original languageEnglish (US)
Title of host publicationPIERS 2011 Suzhou - Progress in Electromagnetics Research Symposium, Proceedings
Number of pages5
StatePublished - 2011
EventProgress in Electromagnetics Research Symposium, PIERS 2011 Suzhou - Suzhou, China
Duration: Sep 12 2011Sep 16 2011

Publication series

NameProgress in Electromagnetics Research Symposium
ISSN (Print)1559-9450


OtherProgress in Electromagnetics Research Symposium, PIERS 2011 Suzhou

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials


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