Influence of a nonrandom gyrophase distribution on the cyclotron-resonance maser instability

Summary form only given, as follows. An analysis is made of the effect of a nonrandom equilibrium distribution in /spl phi/ on the cyclotron-resonance maser instability of a relativistic electron beam propagating along a uniform magnetic field B/sub 0/e/sub z/. Here /spl phi/ is the phase angle of the transverse component of the electron momentum p/sub /spl perp//. Equilibrium distributions are assumed to be either of the form f/sub 0/(p/sub /spl perp//, p/sub z/, /spl zeta/) where /spl zeta/=/spl phi/-/spl Omega//sub c/t//spl gamma/ or f/sub 0/(p/sub /spl perp//, p/sub z/, /spl zeta/) where /spl zeta/=/spl phi/-m/spl Omega//sub c/z/p/sub z/. The quantity /spl Omega//sub c/ is the nonrelativistic cyclotron frequency. A Fourier analysis of the Vlasov-Maxwell equations leads in general to integral equations relating the components of the perturbed electric field. Only for special cases are the usual algebraic relations obtained. Effects of nonrandom distributions in /spl phi/ on radiation growth rates are determined for a variety of equilibrium distributions.