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Titlebook: Ultraviolet and Soft X-Ray Free-Electron Lasers; Introduction to Phys Peter Schmüser,Martin Dohlus,Jörg Rossbach Book 20091st edition Sprin

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Discussion of the High-Gain FEL Equations,deduced from the analytic description of the high-gain FEL although we have made rather simplifying assumptions in deriving (4.50), for example by neglecting any dependencies on the transverse coordinates . and .. The coupled first-order equations are evaluated in the second part. They contain even more physics.
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Refinements of the One-Dimensional FEL Theory,diffraction of the light wave play an important role. Moreover, energy spread in the electron beam and the longitudinal slippage of the FEL pulse with respect to the short electron bunch must be considered (in the 1D theory as described in Chaps. 4 and 5 the bunch is treated as being infinitely long, which is far from reality).
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Undulator Radiation,rection), the magnetic field points in the . direction (vertical). The period λu of the magnet arrangement is in the order of 30 mm. For simplicity we assume that the horizontal width of the pole shoes is larger than λu, then one can neglect the . dependence of the field in the vicinity of the tight
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Discussion of the High-Gain FEL Equations, understanding of the properties and peculiarities of high-gain Free-Electron Lasers. It will turn out that a remarkable number of predictions can be deduced from the analytic description of the high-gain FEL although we have made rather simplifying assumptions in deriving (4.50), for example by neg
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