I. Introduction
The existing high throughput satellites (HTS) in the Ka-band produce between 50 and 100 overlapping spot beams with a four-color frequency and polarization reuse scheme [1]. The conventional reflectors employed on board the satellite cannot provide closely spaced beams (around 0.56° separation), and typically, four reflectors operating in transmission (Tx) and reception (Rx) are required to generate a four-color coverage (using two frequencies and two polarizations) with overlapping spots, one reflector per color.