We present a new set of universally scaled equations describing radiat
ion and electron beam evolution in gyrotron and cyclotron auto-resonan
ce maser devices. Physical interpretation of the scaling parameters an
d both linear and numerical solutions to the equations are given. A Ha
miltonian is given for certain limiting conditions. With further condi
tions the equations reduce to a form identical to those describing evo
lution in the Compton regime free electron laser.