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.