Analysis of the Coverage of Tunable Matching Networks for the Imperfect Matching Case

Since conjugate (perfect) matching of complex loads and sources over a wide frequency band is not possible, imperfect matching is necessary. In this brief, formulas for the coverage of tunable matching networks for imperfect matching have been derived for the first time. It has been found that the coverage area in this case expands beyond the perfect matching area with more circles required to define the coverage. Analytical expressions for the centers and radii of these circles have been derived for the first time. The theoretical analysis has been provided for the T and $\Pi$ networks and verified by circuit simulation and measured data.