  The incorporation of subarrays in Direct Radiating Arrays for satellite
missions is fundamental in reducing the number of Radio Frequency chains, which
correspondingly diminishes cost, power consumption, space, and mass. Despite
the advantages, previous beamforming schemes incur significant losses during
beam scanning, particularly when hybrid beamforming is not employed.
Consequently, this paper introduces an algorithm capable of compensating for
these losses by increasing the power, for this, the algorithm will activate
radiating elements required to address a specific Effective Isotropic Radiated
Power for a beam pattern over Earth, projected from a GeoStationary satellite.
In addition to the aforementioned compensation, other beam parameters have been
addressed in the algorithm, such as beamwidth and Side Lobe Levels. To achieve
these objectives, we propose employing the array thinning concept through the
use of genetic algorithms, which enable beam shaping with the desired
characteristics and power. The full array design considers an open-ended
waveguide, configured to operate in circular polarization within the Ka-band
frequency range of 17.7-20.2 GHz.
