By Levi Schächter
The major subject matter of this publication is the interplay of electrons with electromagnetic waves within the presence of periodic and quasi-periodic buildings in vacuum, in view of purposes within the layout and operation of particle accelerators.
The first a part of the booklet is anxious with the textbook-like presentation of the fundamental fabric, specifically reviewing straightforward electromagnetic phenomena and electron dynamics. the second one a part of the ebook describes the present types for beam-wave interactions with periodic and quasi-periodic constructions. this can be the foundation for introducing, within the final a part of the booklet, a couple of particle and radiation assets that leisure on those ideas, particularly the free-electron laser, wake-field acceleration schemes and several complicated particle accelerator concepts.
This moment variation brings this primary textual content updated in view of the big advances which were revamped the decade because the first variation was once released. All chapters, in addition to the bibliography, were considerably revised and prolonged, and the variety of end-of-chapter workouts has been extra elevated to augment this book’s usefulness for instructing really good graduate classes.
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Additional info for Beam-Wave Interaction in Periodic and Quasi-Periodic Structures
There are basically two ways to pre-bunch a beam: either in a two (or more) stage system as in a klystron or to form the bunches at the same place where the electrons are generated, namely to produce bunches in which all electrons have the same velocity. In this regard the way the electrons are generated is critical and may have a dramatic impact on the performance of the device. 3 Accelerators 17 Finally, the amount of current injected into the system can also be used for classification of sources.
As a result, a relativistic electron experiences a constant electric field. A detail of the processes associated with this acceleration process is discussed in more detail in Chap. 8. In this section we adopt a system-oriented approach and consider the next central component of a linear collider, this is the damping ring. It was pointed out above that an electron moving at a constant velocity in vacuum does not radiate however, if it accelerates then it may radiate. In fact, if the acceleration is perpendicular to the trajectory, the power emitted (synchrotron radiation) is proportional to g4 thus the electron is decelerated.
Electrons are generated on the cathode (inner surface) and since a perpendicular magnetic field is applied, they form a flow which rotates azimuthally. The magnetic field and the voltage applied on the anode are chosen in such a way that, in equilibrium, the average velocity of the electrons equals the phase velocity of the wave supported by the periodic structure at the frequency of interest. Cathode Fig. 10 The schematic of a free electron laser S N S N S N S N N S N S N S N S 14 1 Introduction Fig.
Beam-Wave Interaction in Periodic and Quasi-Periodic Structures by Levi Schächter