Measurement of the longitudinal asymmetry of a charged particle bunch from the coherent synchrotron or transition radiation spectrum.
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The shapes of submillimeter long electron bunches at the Cornell linear accelerator have been determined by measuring the coherent far-ir synchrotron and transition radiation spectrum produced by the charge distribution. With the aid of a Kramers-Kronig analysis of the spectral data, we show that the longitudinal bunch shape including the asymmetry can be accurately determined.