TY - JOUR
T1 - A linear three-dimensional model for free electron laser amplifiers
AU - Jerby, E.
AU - Gover, A.
PY - 1988/10
Y1 - 1988/10
N2 - This paper introduces a generalized, linear, three-dimensional model of the FEL amplifier. This 3-D model that is represented by a matrix gain-dispersion equation is valid in the various FEL gain regimes; the low and high gain regimes and the space-charge dominated regimes. It includes electron-beam longitudinal velocity spread effects that are caused by energy spread, transverse emittance and betatron motion. The model provides solutions for the EM-wave amplitude and phase profiles for any initial transverse profiles of the electron beam and of the EM wave, given at the entrance to the interaction region. The matrix gain-dispersion equation consists of angular spectrum components and therefore it is applicable for free-space FEL schemes and for rectangular waveguide schemes as well. Different linear three-dimensional effects, such as optical guiding, gain focusing, reduction of space-charge effects, bending of the radiation beam, off axis-gain, etc., are all inherently included in the presented model. Figurative results, derived according to the parameter sets of two representative high-gain FELs, are demonstrated.
AB - This paper introduces a generalized, linear, three-dimensional model of the FEL amplifier. This 3-D model that is represented by a matrix gain-dispersion equation is valid in the various FEL gain regimes; the low and high gain regimes and the space-charge dominated regimes. It includes electron-beam longitudinal velocity spread effects that are caused by energy spread, transverse emittance and betatron motion. The model provides solutions for the EM-wave amplitude and phase profiles for any initial transverse profiles of the electron beam and of the EM wave, given at the entrance to the interaction region. The matrix gain-dispersion equation consists of angular spectrum components and therefore it is applicable for free-space FEL schemes and for rectangular waveguide schemes as well. Different linear three-dimensional effects, such as optical guiding, gain focusing, reduction of space-charge effects, bending of the radiation beam, off axis-gain, etc., are all inherently included in the presented model. Figurative results, derived according to the parameter sets of two representative high-gain FELs, are demonstrated.
UR - http://www.scopus.com/inward/record.url?scp=0024087812&partnerID=8YFLogxK
U2 - 10.1016/0168-9002(88)90255-0
DO - 10.1016/0168-9002(88)90255-0
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AN - SCOPUS:0024087812
SN - 0168-9002
VL - 272
SP - 380
EP - 385
JO - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
JF - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
IS - 1-2
ER -