Abstract
The FEL oscillator consists of a resonator with an active medium — an electron beam in an undulator. A schematic illustration of the FEL oscillator is presented in Fig. 1.1. The problem of the interaction between the radiation and the active medium in the resonator refers to a class of self-consistent problems. To describe the FEL oscillator, the equations for the particle motion and Maxwell’s equations should be solved simultaneously taking into account the initial and boundary conditions for the electron beam and for the radiation. When analyzing the lasing process in the FEL oscillator, one should take into account that it starts from the shot noise in the electron beam. During the lasing process many longitudinal modes with different frequencies can be excited in the resonator. Their amplitudes change with time. These factors make the study much more complicated with respect to that performed in Chap. 2 for the steady-state theory of the FEL amplifier.
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Saldin, E.L., Schneidmiller, E.A., Yurkov, M.V. (2000). One-Dimensional Theory of the FEL Oscillator. In: The Physics of Free Electron Lasers. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04066-9_3
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DOI: https://doi.org/10.1007/978-3-662-04066-9_3
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