A method to remove synchrotron frequency from the spectrum of momentum-forced radial oscillations

Using the case of a storage ring for the resonance electric dipole moment (EDM) measurement, we demonstrate how to transform the frequency of forced radial oscillations from the frequency induced by the synchrotron oscillations of momentum, into a fraction of that frequency. This transformation, achieved through exploiting non-linearity, an oscillating external field, and destructive interference, cancels many parasitic spin resonances imitating the EDM.