El. Saldin et al., RADIATIVE INTERACTION OF ELECTRONS IN A BUNCH MOVING IN AN UNDULATOR, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 417(1), 1998, pp. 158-168
This paper presents investigations of the longitudinal radiative force
in an electron bunch. The model of the electron bunch assumes line de
nsity distribution. General formulae are obtained for the calculation
of the radiative force in the bunch moving along an arbitrary small-an
gle trajectory. The case of a motion in an undulator (wiggler) has bee
n studied in detail. Analytical solutions are obtained for a rectangul
ar and for a Gaussian bunch shape. It is shown that the rate of the bu
nch energy loss due to the radiative interaction is equal to the power
of the coherent radiation in the far zone. Numerical estimations pres
ented in the paper show that the effects of induced energy spread due
to the radiative interaction can be important for free electron lasers
operating in the infrared wavelength range. (C) 1998 Elsevier Science
B.V. All rights reserved.