APS » Journals » Phys. Rev. ST Accel. Beams » Volume 7 » Issue 2
< Previous article | Next article >

Phys. Rev. ST Accel. Beams 7, 024201 (2004)

Three-dimensional stability theory of a continuous beam with axisymmetric Kapchinskij-Vladimirskij distribution

Tai-Sen F. Wang

Download: PDF (774 kB) or gzip'ed PS (744 kB) Export: BibTeX or EndNote (RIS)

(Some reference links may require a separate subscription.)

  1. See, for example, Proceedings of the 2001 Particle Accelerator Conference, New York (IEEE, Piscataway, NJ, 2001), pp. 1–4097.
  2. See, for example, Proceedings of the 14th International Heavy Ion Fusion Symposium [Laser Part. Beams, 20, 367 (2002)], and references therein.10.1017/S0263034602203006.
  3. R. A. Kishek, S. Bernal, C. L. Bohn, D. Grot, I. Haber, P. G. O’Shea, M. Reiser, and M. Walter, Phys. Plasmas 10, 2016 (2003) [SPIN][CAS].
  4. J. D. Lawson, The Physics of Charged-Particle Beams (Clarendon Press, Oxford, 1988).
  5. A. W. Chao, Physics of Collective Beam Instabilities in High Energy Accelerators (John Wiley & Son, Inc., New York, 1992).
  6. S. Y. Lee, Accelerator Physics (World Science Publishing Co. Pte. Ltd., River Edge, NJ, 1999).
  7. R. C. Davidson and H. Qin, Physics of Intense Charged Particle Beams in High Energy Accelerators (Imperial College Press and World Scientific Publishing Co., London, 2001).
  8. R. L. Gluckstern, in Proceedings of the 1970 Proton Linear Accelerator Conference, IL, 1971, edited by M. R. Tracy (National Accelerator Laboratory, Batavia, 1971), p. 811.
  9. A. H. W. Beck, Space-Charge Waves and Slow Electromagnetic Waves (Pergamon Press, New York, 1958).
  10. M. J. Lee, F. E. Mills, and P. L. Morton, SLAC Report No. SLAC-76, 1967.
  11. G. Krafft, J. W.-K. Mark, L. Smith, and T. F. Wang, SIAM J. Appl. Math. 43, 1390 (1983).
  12. T. F. Wang and L. Smith, Part. Accel. 12, 247 (1982) [INSPEC][CAS].
  13. I. M. Kapchinskij and V. V. Vladimirskij, in Proceedings of the 2nd International Conference on High Energy Accelerators and Instrumentation, 1959 (CERN Scientific Information Service, Geneva, 1959), p. 274.
  14. I. Haber, D. A. Callahan, A. Friedman, D. P. Grote, and A. B. Langdon, Fusion Eng. Des. 32–33, 169 (1996) [INSPEC].
  15. I. Haber, D. A. Callahan, A. Friedman, D. P. Grote, S. M. Lund, and T. F. Wang, Nucl. Instrum. Methods Phys. Res., Sect. A 415, 405 (1998) [CrossRef][CAS].
  16. S. M. Lund, D. A. Callahan, A. Friedman, D. P. Grote, I. Haber, and T. F. Wang, in Proceedings of the XIX International Linear Accelerator Conference, Chicago, IL, 1998, edited by C. E. Eyberger, R. C. Pardo, and M. M. White (Argonne National Laboratory, Argonne, IL, 1998), p. 372.
  17. E. G. Harris, Phys. Rev. Lett., 2, 34 (1959).
  18. S. M. Lund and R. C. Davidson, Phys. Plasmas 5, 3028 (1998) [SPIN][INSPEC][ADS][CAS].
  19. I. Haber, A. Friedman, D. P. Grote, S. M. Lund, and R. A. Kishek, Phys. Plasmas 6, 2254 (1999) [CAS].
  20. H. Qin, R. C. Davidson, and W. W.-L. Lee, Phys. Rev. ST Accel. Beams 3, 084401 (2000) [SPIRES].
  21. R. C. Davidson and S. Strasburg, Phys. Plasmas 7, 2657 (2000) [CAS].
  22. R. A. Kishek, S. Bernal, P. G. O’Shea, M. Reiser, and I. Haber, Nucl. Instrum. Methods Phys. Res., Sect. A 464, 484 (2001) [CrossRef][CAS].
  23. H. Qin, R. C. Davidson, W. W.-L. Lee, and R. Kolesnikov, Nucl. Instrum. Methods Phys. Res., Sect. A 464, 477 (2001) [CrossRef][CAS].
  24. I. Haber, A. Friedman, D. P. Grote, S. M. Lund, S. Bernal, and R. A. Kishek, Nucl. Instrum. Methods Phys. Res., Sect. A 464, 343 (2001) [CrossRef][CAS].
  25. R. C. Davidson, H. Qin, W. W.-L. Lee, and S. Strasburg, Nucl. Instrum. Methods Phys. Res., Sect. A 464, 358 (2001) [CrossRef][CAS].
  26. R. C. Davidson, H. Qin, S. I. Tzenov, and E. A. Startsev, Phys. Rev. ST Accel. Beams 5, 084402 (2002) [SPIRES].
  27. R. C. Davidson, W. W.-L. Lee, H. Qin, and E. Startsev, Phys. Plasmas 9, 340 (2002) [CAS].
  28. E. A. Startsev, R. C. Davidson, and H. Qin, Phys. Plasmas 9, 3138 (2002) [SPIN][CAS].
  29. E. A. Startsev, R. C. Davidson, and H. Qin, Phys. Rev. ST Accel. Beams 6, 084401 (2003).
  30. L. Smith, Lawrence Berkeley Laboratory Heavy Ion Fusion Project Technical Note No. HIFAN-13, 1977.
  31. I. Hofmann, L. J. Laslett, L. Smith, and I. Haber, Part. Accel. 13, 145 (1983) [INSPEC][CAS][SPIRES].
  32. I. Hofmann, Adv. Electron. Electron Phys. Suppl. 13C, 49 (1983) [CAS].
  33. J. Struckmeier, J. Klabunde, and M. Reiser, Part. Accel. 15, 47 (1984) [INSPEC][SPIRES].
  34. W. W. Lee, Q. Qian, and R. C. Davidson, Phys. Lett. A 230, 347 (1997) [CAS].
  35. Q. Qian, W. W. Lee, and R. C. Davidson, Phys. Plasmas 4, 1915 (1997) [SPIN][INSPEC][ADS][CAS].
  36. R. L. Gluckstern, W.-H. Cheng, and H. Ye, Phys. Rev. Lett. 75, 2835 (1995) [SPIN][INSPEC][CAS][SPIRES][MEDLINE].
  37. R. L. Gluckstern, W.-H. Cheng, S. S. Kurennoy, and H. Ye, Phys. Rev. E 54, 6788 (1996) [SPIN][INSPEC][CAS][MEDLINE].
  38. N. A. Krall and A. W. Trivelpiece, Principles of Plasma Physics (McGraw-Hill Book Co., New York, 1973) [ADS].
  39. W. C. Hahn, Gen. Elec. Rev. 42, 258 (1939).
  40. S. Ramo, Phys. Rev. 56, 276 (1939).
  41. For example, see Sec. 4.8.2 of Ref. [38] and Sec. 6.2.3 of Ref. [4].
  42. I. M. Gel’fand, R. A. Minlos, and Z. Ya. Shapiro, Representations of the Rotational and Lorentz Groups and Their Applications (Pergamon Press, New York, 1963), Pt. I, Chap. 2.
  43. See Chap. 22 of Handbook of Mathematical Functions, by edited by M. Abramowitz and I. A. Stegun, Natl. Bur. Stand. (U.S.) Circular No. 55 (U.S. GPO, Washington, DC, 1964).
  44. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1965), 4th ed [ADS].
  45. See item 7.253 on p. 826 of Ref. [44].