We present a new set of universally scaled equations describing radiation and electron beam evolution in gyrotron and cyclotron auto-resonance maser devices. Physical interpretation of the scaling parameters and both linear and numerical solutions to the equations are given. A Hamiltonian is given for certain limiting conditions. With further conditions the equations reduce to a form identical to those describing evolution in the Compton regime free electron laser.
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McNeil et al. (1994) studied this question.
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