Continuous Class-E Power Amplifier Modes

In this brief, a continuum of novel closed-form solutions is derived for class-E power amplifiers (PAs). It is analytically proven that the class-E zero voltage/zero voltage derivative switching conditions can be satisfied for an arbitrarily selected reactive second harmonic switch impedance (Z₂^S). The higher order harmonic currents are terminated capacitively. The conventional class-E, class- E/F₂, and class-EF₂ modes are thus subsets of the continuum. The arbitrary selection of Z₂^S enables robust waveform engineering for performance optimization in specific applications. Furthermore, the theoretical derivation provides important possibilities for wideband class-E PA synthesis.