Beam-Wave Interaction in Periodic and Quasi-Periodic by Levi Schächter

By Levi Schächter

The major subject of this ebook 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 anxious with the textbook-like presentation of the elemental fabric, particularly reviewing user-friendly electromagnetic phenomena and electron dynamics. the second one a part of the booklet describes the present versions for beam-wave interactions with periodic and quasi-periodic constructions. this is often the root for introducing, within the final a part of the ebook, a couple of particle and radiation assets that relaxation on those rules, specifically the free-electron laser, wake-field acceleration schemes and several complex particle accelerator concepts.

This moment variation brings this basic textual content updated in view of the large advances which have been revamped the decade because the first variation used to be released. All chapters, in addition to the bibliography, were considerably revised and prolonged, and the variety of end-of-chapter routines has been extra elevated to reinforce 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

Example text

The other two expressions indicate that any discontinuity in the normal component of the electric induction is due to surface charge density ðrs Þ and the normal component of the magnetic induction is always continuous. 1. As in the case of Maxwell’s equations, it is sufficient to use the first two sets of boundary conditions since the latter two are then automatically satisfied. 2. One outcome of the boundary conditions as formulated above is that at the surface of an ideal metal (s ! 1) the tangential electric field vanishes.

Consequently, two processes occur. Firstly, the closer the electron is to the periodic surface the stronger the radiation field and therefore the deceleration is larger, causing a further motion upwards. Secondly, as it moves upwards its (dc) potential energy varies. Again, this is converted into electromagnetic energy. Two major differences between the magnetron and other radiation sources mentioned above, are evident: (1) in the magnetron, the beam generation, acceleration and collection occur all in the same region where the interaction takes place.

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. The simplest manifestation of their role is the representation of the spectrum of a moving charge in the laboratory frame of reference. For this purpose, we examine now the waves associated with a point charge ðeÞ moving in the z direction at a constant velocity v0 in vacuum; no boundaries are involved and the system is azimuthally symmetric (@=@f ¼ 0).

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