Matrix-Based Formulation and Plane-Geometrical Expression of Class-E Synchronous RF Rectifiers

This paper formulates a class-E synchronous RF rectifier from a new viewpoint. The key point is to introduce a matrix and convolute the DC terms into RF matrices. The explicit expression of input impedance is demonstrated in plane geometry. The impedance is drawn as a geodesic in hyperbolic geometry under ZVS operation. Finally, a theoretical RF-DC conversion efficiency results in 100 % under ZVS operation.

I. Introduction

The class-E synchronous rectifier is a counterpart of the class-E amplifier. They have time-reversed current and voltage waveforms, respectively [5]. Theoretical analysis of class-E amplifiers often uses the harmonic principle [11], [12]. In this study, we apply the harmonic principle to a class-E synchronous rectifier. For convenience, we make the formulation flowchart shown in Fig. 2. According to Fig. 2, the circuit analysis is carried out.