No data available.

Please log in to see this content.

You have no subscription access to this content.

No metrics data to plot.

The attempt to load metrics for this article has failed.

The attempt to plot a graph for these metrics has failed.

The full text of this article is not currently available.

f

Nonlinear δ ** ***F* simulation studies of high-intensity ion beam propagation in a periodic focusing field

### Abstract

This paper makes use of the nonlinear Vlasov–Poisson equations to describe the propagation of an intense, non-neutral ion beam through a periodic focusing solenoidal field with coupling coefficient in the thin-beam approximation The nonlinear formalism is developed for numerical simulation applications by dividing the total distribution function into a zero-order part that propagates through the average focusing field plus a perturbation which evolves nonlinearly in the zero-order and perturbed field configurations. To illustrate the application of the technique to axisymmetric, matched-beam propagation, nonlinear -simulation results are presented for the case where corresponds to a thermal equilibrium distribution, and the oscillatory component of the coupling coefficient, turns on adiabatically over many periods *S* of the focusing lattice. For adiabatic turn-on of over 20–100 lattice periods, the amplitude of the mismatch oscillation is reduced by more than one order of magnitude compared to the case where the field oscillation is turned on suddenly. Quiescent, matched-beam propagation at high beam intensities is demonstrated over several hundred lattice periods.

© 1999 American Institute of Physics

Received Tue Jul 28 00:00:00 UTC 1998
Accepted Thu Oct 01 00:00:00 UTC 1998

/content/aip/journal/pop/6/1/10.1063/1.873284

1.

1.R. C. Davidson, Physics of Nonneutral Plasmas (Addison–Wesley, Reading, MA, 1990), Chap. 10, and references therein.

2.

2.T. P. Wangler, Principles of RF Linear Accelerators (Wiley, New York, 1998).

3.

3.M. Reiser, Theory and Design of Charged Particle Beams (Wiley, New York, 1994).

4.

4.D. A. Edwards and M. J. Syphers, An Introduction to the Physics of High-Energy Accelerators (Wiley, New York, 1993).

5.

5.I. Kapchinskij and V. Vladimirskij, in Proceedings of the International Conference on High Energy Accelerators and Instrumentation (CERN Scientific Information Service, Geneva, 1959), p. 274.

6.

6.R. Gluckstern, in Proceedings of the 1970 Proton Linear Accelerator Conference, Batavia, IL, edited by M. R. Tracy (National Accelerator Laboratory, Batavia, IL, 1971).

7.

7.H. Uhm and R. Davidson, Part. Accel. 11, 65 (1980).

8.

8.I. Hofmann, L. Laslett, L. Smith, and I. Haber, Part. Accel. 13, 145 (1983).

9.

9.J. Struckmeier, J. Klabunde, and M. Reiser, Part. Accel. 15, 47 (1984).

10.

10.E. P. Lee, Nucl. Instrum. Methods Phys. Res. A 15, 576 (1987).

11.

11.F. Guy, P. Lapostolle, and T. Wangler, in Proceedings of the 1987 Particle-Accelerator Conference, edited by E. R. Lindstrom and L. S. Taylor (Institute of Electrical and Electronic Engineering Piscataway, NJ, 1987), p. 1149.

12.

12.D. Neuffer, E. Colton, D. Fitzgerald, T. Hardek, R. Hutson, R. Macek, M. Plum, H. Thiessen, and T.-S. Wang, Nucl. Instrum. Methods Phys. Res. A 321, 1 (1992).

13.

13.Q. Qian, R. C. Davidson, and C. Chen, Phys. Rev. E 51, 5216 (1995).

14.

14.Q. Qian, R. C. Davidson, and C. Chen, Phys. Plasmas 2, 2674 (1995).

15.

15.Q. Qian and R. C. Davidson, Phys. Rev. E 53, 5349 (1996).

16.

16.C. Chen, Q. Qian, and R. C. Davidson, Fusion Eng. Des. 32, 159 (1996).

17.

17.R. L. Gluckstern, W.-H. Cheng, S. S. Kurennoy, and H. Ye, Phys. Rev. E 54, 6788 (1996).

18.

18.R. L. Gluckstern, Phys. Rev. Lett. 73, 1247 (1994).

19.

19.N. Brown and M. Reiser, Phys. Plasmas 2, 965 (1995).

20.

20.C. Chen, R. Pakter, and R. C. Davidson, Phys. Rev. Lett. 79, 225 (1997).

21.

21.R. C. Davidson and C. Chen, Part. Accel. 59, 175 (1998).

22.

22.R. C. Davidson, W. W. Lee, and P. Stoltz, Phys. Plasmas 5, 279 (1998).

23.

23.C. Chen and R. C. Davidson, Phys. Rev. Lett. 72, 2195 (1994).

24.

24.M. Reiser, C. R. Chang, D. Kehne, K. Low, T. Shea, H. Rudd, and I. Haber, Phys. Rev. Lett. 61, 2933 (1988).

25.

25.I. Hoffman and J. Struckmeier, Part. Accel. 21, 69 (1987).

26.

26.J. Struckmeier and I. Hofmann, Part. Accel. 39, 219 (1992).

27.

27.I. Haber, D. A. Callahan, A. Friedman, D. P. Grote, and A. B. Langdon, Fusion Eng. Des. 32, 159 (1996).

28.

28.A. Friedman and D. P. Grote, Phys. Fluids B 4, 2203 (1992).

29.

29.W. W. Lee, Q. Qian, and R. C. Davidson, Phys. Lett. A 230, 347 (1997).

30.

30.Q. Qian, W. W. Lee, and R. C. Davidson, Phys. Plasmas 4, 1915 (1997).

31.

31.E. P. Lee and J. Hovingh, Fusion Technol. 15, 369 (1989).

32.

32.R. A. Jameson, in Advanced Accelerator Concepts, edited by J. S. Wurtele [AIP Conf. Proc. 279, 969 (1993)].

33.

33.R. W. Müller, in Nuclear Fusion by Inertial Confinement: A Comprehensive Treatise, edited by G. Velarde, Y. Ronen, and J. M. Martinez-Val (CRC Press, Boca Raton, FL, 1993), Chap. 17, pp. 437–453.

34.

34.See, e.g., Proceedings of the 1995 International Symposium on Heavy Ion Inertial Fusion, edited by J. J. Barnard, T. J. Fessenden, and E. P. Lee [Fusion Eng. Des. 32, 1 (1996)], and references therein.

35.

35.A. Friedman, R. O. Bangerter, and W. B. Hermannsfeldt, in Proceedings of the IAEA Technical Committee Meeting on Drivers for Inertial Confinement Fusion, Paris, France, 1994 (Commisariat a l’Energie Atomique, Saclay, France, 1995), p. 243.

36.

36.E. P. Lee and R. K. Cooper, Part. Accel. 7, 83 (1976).

37.

37.E. P. Lee and R. J. Briggs, LBNL Report No. 40774 (1997).

38.

38.A. M. Dimits and W. W. Lee, J. Comput. Phys. 107, 309 (1993).

39.

39.S. E. Parker and W. W. Lee, Phys. Fluids B 5, 77 (1993).

40.

40.G. Hu and J. A. Krommes, Phys. Plasmas 1, 863 (1994).

41.

41.P. H. Stoltz, W. W. Lee, and R. C. Davidson, Nucl. Instrum. Methods Phys. Res. 415, 433 (1998).

42.

42.See, e.g., Ref. 1, Chaps. 4 and 9.

43.

43.S. Y. Lee and A. Riabko, Phys. Rev. E 51, 1609 (1995).

44.

44.A. Riabko, M. Ellison, X. Kang, S. Y. Lee, D. Li, J. Y. Liu, X. Pei, and L. Wang, Phys. Rev. E 51, 3529 (1995).

45.

45.Z. Lin (private communication).

http://aip.metastore.ingenta.com/content/aip/journal/pop/6/1/10.1063/1.873284

Article metrics loading...

/content/aip/journal/pop/6/1/10.1063/1.873284

1999-01-01

2016-12-10

Full text loading...

###
Most read this month

Article

content/aip/journal/pop

Journal

5

3

true

Commenting has been disabled for this content