By Levi Schächter
The major subject matter of this booklet is the interplay of electrons with electromagnetic waves within the presence of periodic and quasi-periodic buildings in vacuum, in view of functions within the layout and operation of particle accelerators.
The first a part of the e-book is worried with the textbook-like presentation of the elemental fabric, particularly reviewing common 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 buildings. this can be the foundation for introducing, within the final a part of the ebook, a few particle and radiation resources that leisure on those rules, particularly the free-electron laser, wake-field acceleration schemes and several complex particle accelerator concepts.
This moment variation brings this primary textual content updated in view of the large advances which have been revamped the decade because the first version 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 additional elevated to augment this book’s usefulness for educating really good graduate classes.
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Extra info for Beam-Wave Interaction in Periodic and Quasi-Periodic Structures
2 Radiation Sources: Brief Overview 15 cathode at a frequency which is directly related to the electrons’ density (plasma frequency). A review of the vircator’s theory has been given by Sullivan et al. (1987) and later Alyokhin et al. (1994) presented a review of the various studies. 7 Classification Criteria The variety of operation principles and consequently of devices does not allow to define a single criterion for their classification. We start our discussion with the trivial observation that any radiation source consists of at least two components: electron beam and electromagnetic wave.
Because of its complexity there is no analytical model which can describe its operation adequately as a whole. In recent years, great progress has been made in the understanding of the various processes with the aid of particle in cell (PIC) codes. Its operation combines potential and kinetic energy conversion. 11 illustrates the basic configuration. Electrons are generated on the cathode (inner surface) and since a perpendicular magnetic field is applied, they form a flow which rotates azimuthally.
For jkjc > o the wave decays exponentially in the x direction. This is an evanescent wave: it propagates in one direction and decays exponentially in another. In the opposite case, for jkjc < o, the wave propagates at an angle y ¼ cosÀ1 ðkc=oÞ relative to the z axis. 12) in the time domain. 14) With this definition, we observe that in a two dimensional case, an evanescent wave is characterized by a phase velocity smaller than c. 4 Waves of a Moving Charge Evanescent waves play an important role in the interaction process of particles and waves.
Beam-Wave Interaction in Periodic and Quasi-Periodic Structures by Levi Schächter