Theory of Fractional Order Elements Based Impedance Matching Networks

Fractional order circuit elements (inductors and capacitors) based impedance matching networks are introduced for the first time. In comparison to the conventional integer based L-type matching networks, fractional matching networks are much simpler and versatile. Any complex load can be matched uti...

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Bibliographic Details
Published in:IEEE microwave and wireless components letters 2011-03, Vol.21 (3), p.120-122
Main Authors: Radwan, A G, Shamim, A, Salama, K N
Format: Article
Language:English
Subjects:
Applied sciences
Capacitors
Circuits
Dielectric, amorphous and glass solid devices
Electronics
Exact sciences and technology
Fractional
Impedance
Impedance matching
Inductors
Integers
Magnetic devices
Matching
Mathematical analysis
Microwave circuits
Microwaves
Networks
Reactance
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Smith chart
Wireless communication
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Summary:Fractional order circuit elements (inductors and capacitors) based impedance matching networks are introduced for the first time. In comparison to the conventional integer based L-type matching networks, fractional matching networks are much simpler and versatile. Any complex load can be matched utilizing a single series fractional element, which generally requires two elements for matching in the conventional approach. It is shown that all the Smith chart circles (resistance and reactance) are actually pairs of completely identical circles. They appear to be single for the conventional integer order case, where the identical circles completely overlap each other. The concept is supported by design equations and impedance matching examples.
ISSN:1531-1309
2771-957X
1558-1764
2771-9588
DOI:10.1109/LMWC.2010.2103051