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The E-203 collaboration is testing a device on FACET at SLAC to measure thelongitudinal profile of electron bunches using Smith-Purcell radiation. AtFACET the electron bunches have an energy of 20~GeV and a duration of a fewhundred femtoseconds. Smith-Purcell radiation is emitted when a chargedparticle passes close to the surface of a metallic grating. We have studied thestability of the measurement from pulse to pulse and the resolution of themeasure depending on the number of gratings used.

Resolution of Longitudinal Profile Measures using Coherent Smith-Purcell Radiation with the Number of Gratings and the Number of Pulses Used