[en] Optimization studies for resonator cavities of quasi-optical gyrotrons have been carried out. With the constraint that the RF field is limited by peak power load on the mirrors, the electronic efficiency can have a value of up to 10% higher than the confocal results by using spherical mirrors with g=1-d/R close to -1. Optimized nonspherical cavities yield similar results. When output coupling through circular slots is considered, confocal (g=0) as well as more extreme designs near the resonator stability boundary are less favorable and the optimum configurations found are spherical mirrors with g-factors of about -0.3, -0.6, and possibly -0.75. (author) 16 figs., 1 tab., 8 refs