In experiments with fusing plasmas, enhanced radiation emission at the harmonics of the cyclotron frequency of fusion reaction products has been observed. A theory is presented that explains key features of these observations and indicates the possibility of extracting significant information about the fusion product population distribution, both in velocity space and over the plasma cross section. The considered model is consistent in particular with the fact that, in DT plasmas, the radiation peaks occur at frequencies corresponding to harmonics of the αparticles' cyclotron frequency Δ αevaluated at the outer edge of the plasma column, and that a transition to a “continuum” spectrum at high frequencies ( ω≳7 Δ α ) can be identified. In this model, the radiation is the result of the excitation of radially “contained” modes which are driven unstable by the fusion products. The modes considered to be responsible for the discrete part of the spectrum are spatially localized near the plasma edge. The radial containment, which is associated mainly with the inhomogeneity of the plasma density, is in fact a fundamental characteristic since only contained modes can grow out of a relatively weak mode–particle interaction and justify the detected emission power levels. The contained mode is a solution to a set of macroscopic equations, in which the electron motion is tied to that of the magnetic field (Hall effect). The growth rate has been evaluated considering the particle orbits in a toroidal confinement configuration and modelling the distribution function of the interacting particles with the energy at birth before slowing down occurs. The growth rate depends linearly on the α-particle density and can be larger than, or of the order of, the bounce frequency of the magnetically trapped α-particles, which can have a resonant interaction with the mode. According to the theoretical model presented, the discrete part of the observed spectrum of emission yields specific information about the trapped, energetic particles with large orbits that reach the edge of the plasma column, while the continuum spectrum can give information about the average density of high energy particles which have orbits well within the plasma column. The possibility to influence α-particle transport through coupling with externally applied modes having frequencies in the range considered is pointed out.
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