A theory is developed for the one-dimensional nonlinear multimode simulation of a Cerenkov maser of special configuration (antenna-amplifier [1,2]) where a tubular relativistic electron beam propagates along a circular waveguide with a dielectric rod. The operating mode is the fundamental azimuthally asymmetric HE_(11) mode. Harmonics at the input signal frequency can be amplified because they fall into the amplification durably exceed that of the amplified signal at the fundamental frequency. The powers of output harmonics can be efficiently controlled by varying the point of electron beam extraction from the interaction region, as well as by varying the input frequency or by switching the polarization of the input signal from linear to circular.
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