A new article on the 3D Smith chart is starting October 2014 in the Journal Electronics Letters (click for abstract) - called Apollonius unilateral transducer power gain on 3D Smith charts while a new capability of it is pointed out in October 2015 Electronics Letters journal.
3D Smith Chart
Is a new 3d telecommunications design tool with applications mainly in high frequency engineering
An unprecedented desktop version is starting November 2013 online for download!
A free demo version from January 2013 is available free on the site!
A new feature that allows visualizing specific contour plots in 3D was integrated into the tool on 17 June 2014
The 3D Smith was most recently presented on 19 November 2013 at ARMMS Conference, Wyboston Lakes, UK .
You can support the development with any amount you consider appropriate.
The West of Greenwich meridian is made of capacitive circuits. The East of Greenwich is made of inductivecircuits
The perfect matching point is the north pole of the sphere
The infinite mismatch is in the south pole of the sphere
One has to get to the north pole in order to obtain the matching
Moving along a transmission line is represented by the movement on a latitude circle- for the lossless case
Movie presents a 3D Smith chart demo tool
Stability circles are very easy to be seen in a compact manner on the 3D Smith chart.
In the last years several attempts were done to develop a 3D Smith chart suitable for both active and passive design. The 3D Smith chart presented here is based on the June 2011 MWCL journal article "A 3D Smith chart based on the Riemann sphere for active and passive microwave circuits" The article uses for the first time inversive geometry on the Riemann sphere (used sometimes without knowledge in arts too) and unifies the active circuits and passive circuits design generalizing the Smith chart. Latitude and longitudes become the important 3D Smith chart tool options in designing-while the theory behind is from pure mathematics-South pole = mapping of infinity. Important details can be found in the IEEE June 2011 MWCL and in the July 2012 Microwave Journal articles
The 3D Smith chart tool was presented in premiere at European Microwave Week, special event " Microwave fundamentals" on 13 October 2011 - Manchester
( tks to prof T.J. Brazil, University College Dublin, Ireland and to Stepan Lucyszyn- EUMC chairman)
Stability circles on the 3d Smith chart ( left a simplified representation in the reflection plane)
3D Smith chart stability circles: input and output stability circles at a sepcific frequency of an amplifier - both graphs show the same phenomenon
3D Smith chart stability circles: different representations of the same amplifier- the last chart includes the extended impedance plane too since the 3D Smith chart
inculdes both entire reflection and entire impedance planes- note also the position of the circles (the green one for example in the capacitive part of the Smith chart thus it is mapped west of Greenwich, the orange circle is in the inductive part thus it is mapped East of Greenwich. When the circles enter the Smith chart this seen on the 3D Smith chart as an entering of the North hemisphere
Power wave reflection coefficient for inverters with complex port impedances
Voltage reflection coefficient for inverters with complex port impedances
Smith chart random circuits
One of the basic ideas of the extension:
Andrei - in the RHP of the impedance plane
Andrei- under the Smith chart mapping
The Smith chart is placed in the equatorial plane, thus Andrei is "sent" in the North hemisphere- since he was in the RHP of the impedance plane thus inside of the classical Smith chart
A lossy line on the 3D Smith chart in the reflection coefficient's plane, voltage and power wave reflection coefficients ( complex ports)
A lossy line in the impedance plane ( one rotates the sphere and gets the entire impedance plane) the orange circles are constant abs(z) circles
The 3D Smith chart tool can plot also stability circles and do lossy matchings in different approaches