Abstract
The horizontal impact parameter pro.le of synchrotron radiation, for fixed vertical angle of the photon, is calculated. This profile is observed through an astigmatic optical system, horizontally focused on the electron trajectory and vertically focused at infinity. It is the product of the usual angular distribution of synchrotron radiation, which depends on the vertical angle ψ, and the profile function of a caustic staying at distance bcl = (γ-2+ψ2)R/2 from the orbit circle, R being the bending radius and γ the Lorentz factor. Theclassical impact parameter bcl is connected to the Schott term of radiation damping theory. The caustic pro.le function is an Airy function squared. Its fast oscillations allow a precise determination of the horizontal beam width.
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References
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Artru, X. (2006). IMPACT PARAMETER PROFILE OF SYNCHROTRON RADIATION. In: Wiedemann, H. (eds) Advanced Radiation Sources and Applications. NATO Science Series II: Mathematics, Physics and Chemistry, vol 199. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3450-4_33
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DOI: https://doi.org/10.1007/1-4020-3450-4_33
Publisher Name: Springer, Dordrecht
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