Stochastic Cooling of Particle Beams

Nonfiction, Science & Nature, Science, Other Sciences, Weights & Measures, Physics, Nuclear Physics
Cover of the book Stochastic Cooling of Particle Beams by Dieter Möhl, Springer Berlin Heidelberg
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Author: Dieter Möhl ISBN: 9783642349799
Publisher: Springer Berlin Heidelberg Publication: January 8, 2013
Imprint: Springer Language: English
Author: Dieter Möhl
ISBN: 9783642349799
Publisher: Springer Berlin Heidelberg
Publication: January 8, 2013
Imprint: Springer
Language: English

This lecture note describes the main analytical approaches to stochastic cooling. The first is the time domain picture, in which the beam is rapidly sampled and a statistical analysis is used to describe the cooling behaviour. The second is the frequency domain picture, which is particularly useful since the observations made on the beam are mainly in this domain. This second picture is developed in detail to assess key components of modern cooling theory like mixing and signal shielding and to illustrate some of the diagnostic methods. Finally the use of a distribution function and the Fokker-Plank equation, which offer the most complete description of the beam during the cooling, are discussed.

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This lecture note describes the main analytical approaches to stochastic cooling. The first is the time domain picture, in which the beam is rapidly sampled and a statistical analysis is used to describe the cooling behaviour. The second is the frequency domain picture, which is particularly useful since the observations made on the beam are mainly in this domain. This second picture is developed in detail to assess key components of modern cooling theory like mixing and signal shielding and to illustrate some of the diagnostic methods. Finally the use of a distribution function and the Fokker-Plank equation, which offer the most complete description of the beam during the cooling, are discussed.

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