By D. A. Edwards
The 1st part bargains with the movement of a unmarried particle lower than the impression of digital and magnetic fields. the elemental language of linear and round accelerators is constructed. the main of part balance is brought besides part oscillations in linear accelerators and synchrotrons. offers a therapy of betatron oscillations through an expedition into nonlinear dynamics and its program to accelerators. the second one part discusses depth based results, fairly house cost and coherent instabilities. comprises tables of parameters for a variety of accelerators that are utilized in the varied difficulties supplied on the finish of every bankruptcy.
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Additional resources for An Introduction to the Physics of High Energy Accelerators
12. Electron linacs are usually designed for high frequency. The radar S-band near 3 GHz was the choice for the Stanford two mile electron linac at SLAC. Further discussion of accelerating structure technology would be out of place in this text. A number of the references in the bibliography pursue this subject in greater depth. 2 PHASE STABILITY The rudimentary view of an accelerator that has emerged thus far is one in which a particle traverses a number of accelerating devices-a possibly long sequence of them in the case of a linear accelerator, and perhaps only one for a circular accelerator, to which bending magnetic fields return the particle from turn to turn.
Naturally, this implies that the synchronous phase jump occurs precisely at transition. 77 becomes -d2A+ - - - -1 dA# dt2 t dt ( khc2eVcos 4, tA4=0. 78) Under our two assumptions above, this equation of motion is exact. We expect its solutions to match at large t the forms of the preceeding subsection. 78 remains a good approximation. =47 PHASE STABILITY Consider the regimes I > 0 and t < 0 separately. 79) whereas for t < 0, we have cos tPs > 0, and if we define t - = -t, then We see that the two equations are formally identical.
Although the structures actually used in these devices are generally more complex, our simple cavity could be used and is adequate for the main purpose of this chapter, namely the discussion of the principle of phase stability. We do not explore the technology of accelerating structures; that is a rich subject in itself. But we do conclude with a few remarks on the sorts of accelerating structures that are employed in practice. 1 DC Accelerators The first accelerator in the modern sense was the electrostatic accelerator that Cockcroft and Walton used to demonstrate the disintegration of lithium nuclei upon bombardment with protons.
An Introduction to the Physics of High Energy Accelerators by D. A. Edwards