Frequency multiplication using coherent radiation of a "snake" beam

Abstract

We propose to use a relativistic electron beam which has a shape of a wiggle to generate coherent radiation. We show that such a beam can generate not only radiation with a wavelength equal to the period of the wiggle, but also higher harmonics of that period. Specific calculations are carried out for undulator radiation. Requirements for the transverse size of the beam are obtained. Published by the American Physical Society under the terms of the http://creativecommons.org/licenses/by/3.0/ Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.