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Mode selection on cavity accumulation of coherent undulator synchrotron radiation

Coherent undulator synchrotron emission of a short electron bunch may contain many transverse modes of the optical cavity when the emission occurs at an off-grazing resonance. However, their accumulation over periodic bunches can be targeted to a single designated mode, owing to the sensitivity of the phase-matching condition of accumulation. An analysis of mode accumulation, along with a numerical simulation result, is presented.