Vector electromagnetic theory of transition and diffraction radiation with application to the measurement of longitudinal bunch size

Details Vector electromagnetic theory of transition and diffraction radiation with application to the measurement of longitudinal bunch size Vector electromagnetic theory of transition and diffraction radiation with application to the measurement of longitudinal bunch size

2007-12-17

arxiv.org/abs/0712.2848v1

Phys.Rev.STAccel.Beams11:012801,2008

Physics

Accelerator Physics

47 pages, 16 figures, accepted for publication in Phys. Rev. ST. Accel. and Beams

Scientific paper

10.1103/PhysRevSTAB.11.012801

We have developed a novel method based on vector electromagnetic theory and Schellkunoff's principles to calculate the spectral and angular distributions of transtion radiation (TR) and diffraction radiation (DR) produced by a charged particle interacting with an arbitrary target. The vector method predicts the polarization and spectral angular distributions of the radiation at an arbitrary distance form the source, i.e. in both the near and far fields, and in any direction of observation. The radiation fields of TR and DR calculated with the commonly used scalar Huygens model are shown to be limiting forms of those predicted by the vector theory and the regime of validity of the scalar theory is explicitly shown. Calculations of TR and DR done using the vector model are compared to results available in the literature for various limiting cases and for cases of more general interest. Our theory has important applications in the design of TR and DR diagnostics particularly those that utilize coherent TR or DR to infer the longitudinal bunch size and shape. A new technique to determine the bunch length using the angular distribution of coherent TR or DR is proposed.

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