IMPACT PARAMETER PROFILE OF SYNCHROTRON RADIATION

  • Xavier Artru
Conference paper
Part of the NATO Science Series II: Mathematics, Physics and Chemistry book series (NAII, volume 199)

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.

Keywords

Synchrotron Radiation Impact Parameter Airy Function Vertical Angle Orbit Axis 
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Copyright information

© Springer 2006

Authors and Affiliations

  • Xavier Artru
    • 1
  1. 1.Institut de Physique Nucléaire de LyonUniversité Claude-Bernard & IN2P3-CNRSVilleurbanneFrance

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