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Understanding Radiation Damping Effects in Particle Accelerators

Explore beam dynamics in storage rings with synchrotron radiation effects, covering damping times, Sand's integrals, quantum excitation, and equilibrium emittances. Learn from experts Alex Bogacz, Geoff Krafft, and Timofey Zolkin at USPAS 2013.

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Understanding Radiation Damping Effects in Particle Accelerators

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  1. Radiation Damping Alex Bogacz, Geoff Krafft and Timofey Zolkin USPAS, Fort Collins, CO, June 10-21, 2013

  2. Outline • Beam dynamics with synchrotron radiation: • Define action-angle variables for describing symplectic motion of a particle along a beam line. • Discuss the effect of synchrotron radiation on the (linear) motion of particles in storage rings. • Derive expressions for the damping times of the vertical, horizontal and longitudinal emittances. • Introduce the synchrotron radiation integrals (Sand’s Integrals). • Discuss the effects of quantum excitation, and derive expressions for the equilibrium horizontal and longitudinal beam emittances in an electron storage ring. • M. Sands, “The physics of electron storage rings, an introduction” SLAC-121. 1970 • A. Wolski, University of Liverpool and the Cockcroft Institute,CAS 2009, http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf USPAS, Fort Collins, CO, June 10-21, 2013

  3. Coordinate system USPAS, Fort Collins, CO, June 10-21, 2013

  4. Longitudinal coordinate USPAS, Fort Collins, CO, June 10-21, 2013

  5. Energy deviation USPAS, Fort Collins, CO, June 10-21, 2013

  6. Canonical variables USPAS, Fort Collins, CO, June 10-21, 2013

  7. Symplectic matrices U U U U USPAS, Fort Collins, CO, June 10-21, 2013

  8. Twiss parameters and the particle action USPAS, Fort Collins, CO, June 10-21, 2013

  9. Cartesian variables and action-angle variables USPAS, Fort Collins, CO, June 10-21, 2013

  10. Action and Emittance USPAS, Fort Collins, CO, June 10-21, 2013

  11. Action and Radiation USPAS, Fort Collins, CO, June 10-21, 2013

  12. Radiation damping of vertical emittance USPAS, Fort Collins, CO, June 10-21, 2013

  13. Radiation damping of vertical emittance USPAS, Fort Collins, CO, June 10-21, 2013

  14. Radiation damping of vertical emittance USPAS, Fort Collins, CO, June 10-21, 2013

  15. Radiation damping of vertical emittance USPAS, Fort Collins, CO, June 10-21, 2013

  16. Radiation damping of vertical emittance USPAS, Fort Collins, CO, June 10-21, 2013

  17. Synchrotron radiation energy loss U0 USPAS, Fort Collins, CO, June 10-21, 2013

  18. Synchrotron radiation energy loss USPAS, Fort Collins, CO, June 10-21, 2013

  19. The first synchrotron radiation integral USPAS, Fort Collins, CO, June 10-21, 2013

  20. Damping of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  21. Horizontal-longitudinal coupling USPAS, Fort Collins, CO, June 10-21, 2013

  22. Damping of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  23. Radiation damping of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  24. Appendix A: Damping of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  25. Appendix A: Damping of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  26. Appendix A: Damping of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  27. Appendix A: Damping of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  28. Appendix A: Damping of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  29. Appendix A: Damping of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  30. Damping of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  31. Damping of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  32. Damping of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  33. Damping of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  34. Damping of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  35. Damping of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  36. Damping of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  37. Damping of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  38. Damping of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  39. Summary: Synchrotron radiation damping USPAS, Fort Collins, CO, June 10-21, 2013

  40. Quantum excitation USPAS, Fort Collins, CO, June 10-21, 2013

  41. Quantum excitation of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  42. Quantum excitation of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  43. Appendix B: Quantum excitation of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  44. Appendix B: Quantum excitation of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  45. Appendix B: Quantum excitation of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  46. Appendix B: Quantum excitation of horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  47. Equilibrium horizontal emittance USPAS, Fort Collins, CO, June 10-21, 2013

  48. Quantum excitation of vertical emittance USPAS, Fort Collins, CO, June 10-21, 2013

  49. Quantum excitation of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

  50. Quantum excitation of synchrotron oscillations USPAS, Fort Collins, CO, June 10-21, 2013

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