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Radiation Damping

Radiation Damping. Alex Bogacz, Geoff Krafft and Timofey Zolkin. Outline. Beam dynamics with synchrotron radiation: Define action-angle variables for describing symplectic motion of a particle along a beam line.

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Radiation Damping

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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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