Study on impedance matching and maximum wireless power transfer efficiency of circuits with resonant coupling based on simplified S-matrix

Abstract

In this manuscript, the simplified S-matrix of the pair of RLC circuits with resonant coupling at the resonant frequency is revealed. All of the elements of the S-matrix (S-parameters) are expressed by using essential quantities, which are the port-impedance/resistance ratios and the kQ-product. The matching condition and the maximum power transfer efficiency are analytically derived from the elements of the simplified S-matrix.