S-Parameters utilization in electrical quadrupoles analysis

This study, using the theory of electric circuits, shows the right definition of scattering parameters ((S) under bar -parameters) for any two-port electric circuit and the practical way to use these parameters in streamline the processes of information transmission and propagation, and the transfer of the active power from the electric quadrupole input (output) to their output (input). Starting from the correct definition of S-parameters, their calculation is performed automatically. Passive linear circuits in harmonic regime can be described by a certain number of equivalent circuit parameters, like transfer coefficients matrix (fundamental) (T) under bar, impedances matrix (Z) under bar, admittances matrix (Y) under bar and (S) under bar -parameters matrix (S) under bar. In this paper are presented the relations that permit the transition from a matrix to another one. To generate the reflection coefficients, input and output impedances, active power transmission efficiency from input to output (from output to input), signal transmission efficiency, (S) under bar, (T) under bar, (Z) under bar and (Y) under bar matrices, and Smith charts, there are developed specific routines in MATLAB and there have been used the current subroutines from MATLAB microwave toolbox. (S) under bar -parameters variations by frequency have been presented graphically and on the Smith chart. The results obtained through simulation processes have been compared with the ones presented in the specialty literature and with the experiments results, calculated deviations being less than 5%.