A design is described of a 7 th harmonic converter utilizing a two-cavity system for producing RF power at 20 GHz. The converter uses a 250 kV, 20 A electron beam injected into the first cavity tuned to the TE 111 mode at 2.856 GHz. The beam is accelerated in this cavity via a cyclotron resonance interaction [1] using 8.5 MW of RF power to an energy of 670 kV with 99% efficiency. The accelerated beam passes to an output cavity tuned to the TE 711 mode where simulations predict an output power of 4 MW at 19.992 GHz.