MOCAU  —  FEL Theory   (27-Aug-07   16:10—18:00)

Chair: L.-H. Yu, BNL, Upton, Long Island, New York

Paper Title Page
MOCAU01 Short Wavelength Regenerative Amplifier FELs 182
 
  • D. J. Dunning, N. Thompson
    STFC/DL/ASTeC, Daresbury, Warrington, Cheshire
  • B. W.J. McNeil
    USTRAT/SUPA, Glasgow
 
  In this paper we discuss the possibility of extending the operating wavelength range of tunable Regenerative Amplifier FELs to shorter wavelengths than current design proposals, notably into the XUV regions of the spectrum and beyond where the reflectivity of broadband optics is very low. Simulation studies are presented which demonstrate the development of good temporal coherence in generic systems with a broadband radiation feedback of less than one part in ten thousand.  
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MOCAU02 Numerical Solution of the FEL Correlation Function Equation 188
 
  • N. Vinokurov, O. A. Shevchenko
    BINP SB RAS, Novosibirsk
 
  The equation for two-particle correlation function in FEL was derived recently to provide a new way of noise calculations in FELs*. In this paper this equation is solved numerically for the simplest case of narrow electron beam. Time independent solution with saturation is obtained. It is compared with the results of quasilinear theory and results of previous SASE linewidth estimates.

* O. A. Shevchenko, N. A. Vinokurov, NIM A507 (2003) 84-88

 
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MOCAU03 Numerical Propagation Simulations and Coherence Analysis of SASE Wavefronts 192
 
  • M.-E. Couprie, M. Labat, G. Lambert, O. V. Chubar
    SOLEIL, Gif-sur-Yvette
  • O. Tcherbakoff
    CEA, Gif-sur-Yvette
 
  Examples of wavefront propagation simulation and coherence analysis of SASE, seeded and started-up from noise, are presented. The calculations are performed using SRW – the wave-optics computer code optimized for synchrotron radiation, and the 3D FEL simulation code GENESIS 1.3. To ensure easy inter-operation and data exchange between the two codes, GENESIS has been integrated into the "emission" part of the SRW, which is dedicated for calculation of initial wavefronts in the form ready for subsequent propagation simulations. In the examples described, after each run of GENESIS in time-dependent mode, the electric field is transformed from time to frequency domain, and the wavefront obtained this way is numerically propagated, using Fourier-optics methods implemented in the SRW, from the exit of the FEL undulator to image plane of a simple interferometer-type optical scheme. Intensity-averaged patterns, obtained after multiple cycles of the SASE (in presence of shot noise and/or a timing jitter) and the wavefront propagation calculations, allow for straightforward characterization of spatial coherence by visibility of interference fringes. SRW code can also be used for complete optimization of optical beamlines for 4th generation synchrotron radiation sources, which require accurate treatment of wave-optical phenomena in the frequency and time domains.  
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MOCAU04 Impact of Longitudinal Space-charge Wake from FEL Undulators on Current-enhanced SASE Schemes 196
 
  • E. Saldin, E. Schneidmiller, M. V. Yurkov, G. Geloni
    DESY, Hamburg
 
  In this article we present a description of longitudinal wake fields in X-ray Free-Electron Lasers (XFELs) that is of relevance in relation with Enhanced Self-Amplified Spontaneous Emission (ESASE) schemes. We consider wakes in XFELs, in the limit when the electron beam has gone inside the undulator for a distance longer than the overtaking length (the length that electrons travel as a light signal from the tail of the bunch overtakes the head of the bunch). We find that the magnitude of the resulting energy chirp constitutes a reason of concern for the practical realization of ESASE schemes.  
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MOCAU05 Space Charge Effect in an Accelerated Beam 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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