Modified numerical method for solving the nonlinear mixer pumping problem

The nonlinear mixer pumping problem is solved by use of the modified Gwarek's (MG) time-domain analysis with harmonic sources. By introducing a set of harmonic sources to balance the harmonic impedances, equations for determining the complex voltage sources are calculated. The results in the case of a real microwave mixer are discussed. The MG method is compared with two other methods and it is found that, with 15 harmonics, convergence is achieved after 29 periods whereas for the other methods 300 and 500 periods are required for convergence to be attained. The MG method is thus considered reliable.