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Webb, S.D.

Paper Title Page
MOPB02 A 3-Dimensional Theory of Free Electron Lasers 52
 
  • S.D. Webb, V. Litvinenko, G. Wang
    BNL, Upton, Long Island, New York
  
 

In this paper, we present an analytical three-dimensional theory of free electron lasers. Under several assumptions, we arrive at an integral equation similar to earlier work carried out by Ching, Kim and Xie, but using a formulation better suited for the initial value problem of Coherent Electron Cooling. We use this model in later papers to obtain analytical results for gain guiding, as well as to develop a complete model of Coherent Electron Cooling.

  
MOPB03 Dispersion Relations for 1D High-Gain FELs 56
 
  • S.D. Webb, V. Litvinenko
    BNL, Upton, Long Island, New York
  
 

We present analytical results for the one-dimensional dispersion relation for high-gain FELs. Using kappa-n distributions, we obtain analytical relations between the dispersion relations for various order kappa distributions. Since an exact solution exists for the kappa-1 (Lorentzian) distribution, this provides some insight into the number of modes on the way to the Gaussian distribution.

  
MOPB04 The Physics of FEL in an Infinite Electron Beam 60
 
  • G. Wang, V. Litvinenko
    BNL, Upton, Long Island, New York
  • S.D. Webb
    Stony Brook University, Stony Brook
  
 

We solve linearized Vlasov-Maxwell FEL equations for a 3-D perturbation in an infinite electron beam with Lorentzian energy distributions using paraxial approximation. We present analytical solutions for various initial perturbations and discuss the effect of optical guiding in such system.