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electromagnetic-fields

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MOBAU01 Self-Force-Derived Mass of an Electron Bunch electron, acceleration, synchrotron, synchrotron-radiation 1
 
  • E. Saldin
    DESY, Hamburg
  The properties of Lorentz transformations for energy and momentum in electromagnetic systems are illustrated in a simple example involving a short electron bunch moving in a bending magnet. The famous 4/3 problem in electromagnetic mass is discussed.  
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MOPPH010 Three-Dimensional Analysis of the Surface Mode Supported by a Reflection Grating electron, laser, polarization, free-electron-laser 38
 
  • K.-J. Kim
    ANL, Argonne, Illinois
  • V. Kumar
    RRCAT, Indore (M. P.)
  In a Smith-Purcell Free-Electron Laser (SP-FEL), the electron beam interacts with the surface mode supported by a metallic reflection grating to produce coherent radiation. All the previous analyses of SP-FEL had considered the localization of the surface mode only in the direction perpendicular to the grating surface and assumed translational invariance along the direction of grooves of the grating. In this paper, we include the localization of the surface mode along the direction of grooves and study the three-dimensional structure of the surface mode in order to include diffraction effects in the analysis of SP-FELs. Full three-dimensional Maxwell-Lorentz equations are derived for the self-consistent nonlinear analysis of SP-FELs.  
 
MOCAU05 Space Charge Effect in an Accelerated Beam acceleration, space-charge, radiation, electron 200
 
  • Z. Huang, G. V. Stupakov
    SLAC, Menlo Park, California
  It is usually assumed that the space charge effects in relativistic beams scale with the energy of the beam as the inverse relativistic factor gamma factor squared. We show that for a beam accelerated in the longitudinal direction there is an additional space charge effect in free space that scales as the ratio of the accelerating field to the gamma factor. This space charge field has the same origin as the "electromagnetic mass of the electron" discussed in textbooks on electrodynamics. It keeps the balance between the kinetic energy of the beam and the energy of the electromagnetic field of the beam. We then consider the effect of this field on a beam generated in an RF gun and calculate the energy spread produced by this field in the beam.  
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