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Three-dimensional effects of coherent synchrotron radiation by electrons in a bunch compressor
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Three-dimensional effects of coherent synchrotron radiation by electrons in a bunch compressor
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Journal Article
Three-dimensional effects of coherent synchrotron radiation by electrons in a bunch compressor
2020
Overview
We develop a three-dimensional theory of coherent synchrotron radiation in steady-state. Starting from the Hamiltonian in the Courant-Synder theory in a curvilinear coordinate system, we find that the transverse force is essentially the Lorentz force with an additional term:−eϕ/ρin the bending plane, whereϕis the potential andρthe bending radius. The potential term partially cancels the centrifugal force, resulting in a residual wakefield:−Λδ(z)/ρ, where,2≤Λ≤4andzis the longitudinal coordinate. The measurement in the bunch compressor supports the sign predicted by the theory but with a smaller value.
Publisher
American Physical Society,American Physical Society (APS)
