## Cyclotron Radiation in Plasma |

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31 is satisfied adjoint equations analytic continuation angle Coulomb deflections Boltzman equation boundary value problem chapter characterized by impact collision integrals comparison complex roots components cyclotron frequency cyclotron radiation cylindrical coordinate damped wave diffusion discrete spectrum electromagnetic energy equation 13 equation 60b equations 27 Equations 66 finite temperatures Fourier analyzed hot plasma impact parameters greater impact parameters less initial value problem interactions interparticle collisions ions Kampen-Case lower half plane Maxwell equations Maxwellian nearest the real normal mode expansion normal mode treatment Note number of roots obtain the dispersion particle orbit method perturbation phase velocity plasma oscillations positive quantity real axis real roots refractive index relation is obtained satisfy equation 35 shown below Ac single particle method singular function small angle Coulomb small angle uncorrelated space variable steady sub-class taken from Reference terms of fixed uncorrelated small angle uncorrelated two-body encounters uniform magnetic field valid