SETI Horn of Plenty (Hydrogen Line Pyramidal Horn Design Antenna)

The gain of a hydrogen horn or dish depends on its aperture which makes sense as bigger aperture means more light collected. But how does this work with a Yagi antenna tuned to hydrogen?

A Yagi works by a different mechanism from a dish or horn, but the same underlying principle still applies: For any antenna, gain and effective aperture are linked by: where:…