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Balun design analysis

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promach

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For Analysis and Design of Miniaturized Lumped-Distributed Impedance-Transforming Baluns ,

1) Why use admittance Y (or 1/Z) instead of impedance Z ?

2) What is Teven ?

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1-When you analysis the circuit with Short Circuit Conditions, Y-Parameters are useful.
2-Balun Circuits can be driven ODD Mode or EVEN Mode e.g. Driving Currents/Voltages may be In-Phase ( Even Mode) or Out-of-Phase (Odd Mode) ( like Parallel Coupled Transmission Lines ) therefore there are 2 Characteristic Impedances.ODD Mode and EVEN Mode, so there should be 2 set of Reflection Coefficient/Transmission Parameters/S-Parameters.
a-Even-mode-and-b-Odd-mode-presentation-of-the-coupled-plasmonic-transmission-line.ppm.png
 

Do you have any guide on how to derive expressions (2a) and (2b) in the paper ?
 

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