If you have relatively small antenna (which many were in times of props) and have it placed under/over rotor, you can theoretically synchronyse it with blades (same as with MGs). But that would take some effort and should be looked at specific radars with their pulse lenght/frequency. With CW radars... That won't be too handy imo.Is it technically feasable to radiate through the propeller disc?
Afaik early Fairey Fireflies had their podded radar unit inluding the dish antenna centrally under the fuselage behind the propeller arc. I do not know if this arrangement lead to a performance penalty for the radar.