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Inhomogeneous and Homogeneous Losses and Magnetic Field Effect in Planar Undulator Radiation
Progress In Electromagnetics Research B, Vol. 59, 245-256, 2014
We construct an analytical model for the description of emission of undulator radiation (UR) harmonics with account for several sources of line broadening, including the effect of a constant magnetic constituent. We compare it with that of the beam energy spread, emittance and focusing components. The analytical expressions obtained for the UR intensity and spectrum allow for profound analysis of homogeneous and inhomogeneous losses in their explicit form. We analyse the contributions to the fundamental frequency as well as to higher harmonics in long undulators. We study a possibility to compensate for the off-axis effects in undulators by a properly imposed constant magnetic field and obtain an expression for the intensity of such compensating effect. The results obtained are discussed in the context of their possible applications to free electron lasers (FEL). Recommendations for improvement of an UR harmonic line quality, profitable for FEL, are also proposed.
Konstantin V. Zhukovsky, "Inhomogeneous and Homogeneous Losses and Magnetic Field Effect in Planar Undulator Radiation," Progress In Electromagnetics Research B, Vol. 59, 245-256, 2014.

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