The synchrotron radiation diagnostics allows a direct observation of the runaway electron beams and an analysis of their parameters. Strong oscillations of the instantaneous curvature radii of electron orbits were a characteristic feature of recent EAST and KSTAR tokamak runaway electron experiments. Incorrect analysis of synchrotron radiation spectra of runaway electrons was carried out by EAST team. In presented paper the detail theoretical analysis of the synchrotron radiation spectra of the runaway electrons which gyrate around their guiding centers in the curved magnetic field is presented for cases when the curvature radius of electron orbit oscillates strongly. Key parameter of the analysis is the ratio of the cyclotron rotation velocity to the velocity of the vertical centrifugal drift. This analysis is applied for correct calculations of synchrotron radiation spectra for EAST and KSTAR runaway electron parameters.

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