Stochastic Cooling of Particle Beams

1. Front Matter

   Pages I-X

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2. Stochastic Cooling of Particle Beams

   • Dieter Möhl

   Pages 1-3

3. Simplified Theory, Time-Domain Picture

   • Dieter Möhl

   Pages 5-34

4. Pickup and Kicker Impedance

   • Dieter Möhl

   Pages 35-45

5. Frequency-Domain Picture

   • Dieter Möhl

   Pages 47-60

6. A More Detailed Derivation of Betatron Cooling

   • Dieter Möhl

   Pages 61-77

7. Feedback via the Beam-Signal Shielding

   • Dieter Möhl

   Pages 79-90

8. The Distribution Function and Fokker-Planck Equations

   • Dieter Möhl

   Pages 91-104

9. Other Special Applications

   • Dieter Möhl

   Pages 105-113

10. Back Matter

    Pages 115-139

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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.

• Fokker-Plank equation
• Nobel Prize in Physics 1984
• Simon van der Meer
• accelerator physics
• beam cooling
• beam cooling methods and diagnostics
• betatron oscillations
• stochastic cooling of particle beams

From the reviews:

“For newcomers and researchers … there is no better place to learn about stochastic cooling than this book. Dieter Möhl was one of the foremost experts in the field … .  Insightful remarks based on his experience, invaluable calculation recipes, realistic numerical examples, as well as an excellent bibliography go together to round up the whole book. In this self-contained book, Möhl provides a superb pedagogical and concise treatment of the subject, from fundamental concepts up to advanced subjects.” (Christina Dimopoulou, CERN Courier, May, 2013)

• CERN, Geneva, Switzerland

  Dieter Möhl

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