3 May 2013 Parametric beam instability of the electron bunch in a crystal
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Effect of the parametric beam instability (PBI) of the relativistic electron beam in a crystal was analyzed theoretically in1 (see also2). This effect is analogous to self-amplification of spontaneous emission (SASE) mechanism for X-ray Free Electron Laser (XFEL) with an undulator. However, in the case of PBI the transversal modulation of the beam is defined by channeling of the electron in a crystal and the longitudinal modulation arises because of the parametric X-ray radiation mechanism. It is shown in the present paper that the current density J in the electron bunch typical for FEL facility is enough for the beam self-modulation within the X-ray range if the crystal thickness is larger than the crystal absorption length L ≥ Labs. This process could be used for generation of the coherent X-ray pulses if the time τd of the crystal destruction affected by the electron bunch is less than its passing time τd < L=c. The value τd (J) is estimated for the case of the FLASH electron bunch propagating through a Si crystal.
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Aleksandr Leonov, Aleksandr Leonov, Andrei Benediktovitch, Andrei Benediktovitch, Dmitriy Ksenzov, Dmitriy Ksenzov, Ilya Feranchuk, Ilya Feranchuk, Ullrich Pietsch, Ullrich Pietsch, } "Parametric beam instability of the electron bunch in a crystal", Proc. SPIE 8778, Advances in X-ray Free-Electron Lasers II: Instrumentation, 877816 (3 May 2013); doi: 10.1117/12.2021262; https://doi.org/10.1117/12.2021262


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