Paper 
Title 
Page 
MOPPH008 
Unaveraged ThreeDimensional Modelling of the FEL



 P. Aitken, B. W.J. McNeil, C. K.W. Nam
USTRAT/SUPA, Glasgow



A new threedimensional model of the FEL is presented. A system of scaled, coupled LorentzMaxwell equations are derived in the paraxial limit. A minimal number of limiting assumptions are made and the equations are not averaged in the longitudinal direction of common radiation/electron beam propagation, allowing the effects of coherent spontaneous emission and nonlocalised electron propagation to be modelled. The equations are solved numerically using a parallel Fourier splitstep method.

