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We derive an analytic hot plasma dispersion tensor for particle distribution functions characterized by Gaussian pitch-angle distributions. The formalism provides direct analytic expressions for non-thermal electron cyclotron emission coefficients and kinetic instability drive rate. We show the verification of the solutions using the KIAT and SYNO codes. The results offer possible mechanisms that could generate non-thermal electron cyclotron emission during tokamak disruption experiments, even when kinetic instability onset is forbidden.

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