Abstract
Periodic structures play an important role in the interaction of electrons with waves since they support harmonics of phase-velocity smaller than \( c \) and with an adequate design, this velocity can be set equal to the average velocity of the electrons. In particular, in extraction structures, as the electrons interact with the wave and lose energy, they slip out of phase and consequently, the interaction is degraded. In order to avoid this situation the phase velocity of the wave has to be adjusted and the geometry change associated with this process should be designed for minimum reflections, otherwise the system oscillates. In a similar way, in photo-injectors, electron bunches are accelerated from zero velocity to virtually the speed of light in a relatively short distance (typically 1.5 period) and therefore, the design needs to account for the accelerating bunch such that the latter experiences maximum (rf) electric field.
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© 2011 Springer-Verlag Berlin Heidelberg
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Schächter, L. (2011). Quasi-Periodic Structures. In: Beam-Wave Interaction in Periodic and Quasi-Periodic Structures. Particle Acceleration and Detection. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19848-9_6
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DOI: https://doi.org/10.1007/978-3-642-19848-9_6
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