By Levi Schächter
ISBN-10: 3662033984
ISBN-13: 9783662033982
ISBN-10: 366203400X
ISBN-13: 9783662034002
The major topic of this e-book is the interplay of electrons with electromagnetic waves within the presence of periodic and quasi-periodic constructions in vacuum, in view of purposes within the layout and operation of particle accelerators.
The first a part of the publication is worried with the textbook-like presentation of the elemental fabric, specifically reviewing ordinary 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 e-book, a couple of particle and radiation assets that relaxation on those ideas, specifically the free-electron laser, wake-field acceleration schemes and several other complicated particle accelerator concepts.
This moment variation brings this basic textual content updated in view of the big advances which were 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 workouts has been extra elevated to reinforce this book’s usefulness for instructing really expert graduate courses.
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Extra resources for Beam-Wave Interaction in Periodic and Quasi-Periodic Structures
Sample text
For this purpose we take advantage of the fact that the divergence of the magnetic induction is zero (\7 . 36) and by virtue of which the former equation becomes an identity. 26) we obtain \7 x (E+ jwA) = O. 38) where eti is the scalar electric potential. 40) provided that the divergence of the vector function A is chosen to be \7 . A + jw c~ eti c = O. 41) This is the so-called Lorentz gauge. Consistency with the special theory of relativity dictates this choice OVer the well-known Coulomb gauge; c == 1/VILoco is the phase velocity of a plane electromagnetic wave in vacuum.
The latter observation was investigated theoretically [Schachter (1991)] and it was concluded that it is a result of amplified noise at frequencies selected by the interference of the two waves bouncing between the ends of the last stage. In fact we have shown [Schachter and N ation (1992)] that what we call amplifier and oscillator are the two extremes 24 1. Introduction of possible operation regimes and any practical device operates somewhere in between, according to the degree of control we have on the reflection process.
In Sect. 4 we present some basics of beam propagation in free space with uniform or periodic magnetic field and in a uniform and disk-loaded waveguide. The section concludes with the basic measures of beam quality: emittance and brightness. The last section is dedicated to space-charge waves. After introducing the basic concepts of fast and slow space-charge waves, we consider two instabilities which can develop when these waves are present. One is the resistive wall instability and the other is the two-beam instability.
Beam-Wave Interaction in Periodic and Quasi-Periodic Structures by Levi Schächter
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