Van der Pol behavior of virtual anode oscillations in the sheath around a grid in a double plasma device

Physics of Plasmas

Volumn 4, Issue 7, 1997, Pages 2406-2412

  Klostermann, H ^a   Rohde, A ^a   Piel, A ^a  

^a UNIVERSITY OF KIEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANODES; ELECTRIC CURRENTS; ELECTRIC SPACE CHARGE; FREQUENCIES; GEOMETRY; ION BEAMS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PLASMA DIODES; PLASMA OSCILLATIONS; PLASMA SIMULATION;

ION DIODE; POTENTIAL ENERGY; VAN DER POL EQUATION; VIRTUAL ANODE OSCILLATIONS;

PLASMA DEVICES;

EID: 0031192209     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.872221     Document Type: Article

References (35)

1. P. J. Barrett and R. G. Greaves, Phys. Fluids B 1, 1776 (1989).
2. N. Ohno, A. Komori, M. Tanaka, and Y. Kawai, Phys. Fluids B 3, 228 (1991).
3. J. Chutia, S. Sato, H. Kubo, and Y. Nakamura, J. Plasma Phys. 46, 463 (1991).
4. G. Popa and R. Schrittwieser, Phys. Plasmas 1, 32 (1994).
5. A. Piel, H. Klostermann, A. Rohde, N. Jelić, and R. W. Schrittwieser, Phys. Lett. A 216, 296 (1996).
6. R. L. Stenzel, Phys. Fluids B 1, 2273 (1989).
7. A. Sarma, H. Bailung, and J. Chutia, Phys. Plasmas 3, 3245 (1996).
8. Y. Saitou, T. Honzawa, and T. Hada, Phys. Plasmas 2, 3605 (1995).
9. N. Ohno, M. Tanaka, A. Komori, and Y. Kawai, J. Phys. Soc. Jpn. 58, 28 (1989).
10. A. Buragohain, J. Chutia, and Y. Nakamura, Phys. Lett. A 163, 425 (1992).
11. A. Komori, M. Kono, T. Norimine, and Y. Kawai, Phys. Fluids B 4, 3573 (1992).
12. B. K. Sarma, A. Buragohain, and J. Chutia, Int. J. Bifurc. Chaos 3, 455 (1993).
13. A. Buragohain, H. Bailung, B. K. Sarma, and J. Chutia, Chaos, Solitons Fractals 4, 677 (1994).
14. B. van der Pol, Philos. Mag. 3, 65 (1927).
15. H. Lashinsky, in Proceedings of the 7th International Conference on Phenomena in Ionized Gases (Gradjevinska Knjiga Pub, Belgrade, Yugoslavia, 1965), p. 710.
16. H. Lashinsky, in Symposium on Turbulence of Fluids and Plasmas, edited by J. Fox (Polytechnic, Brooklyn, NY, 1968), p. 29.
17. M. E. Koepke and D. M. Hartley, Phys. Rev. A 44, 6877 (1991).
18. T. Klinger, A. Piel, F. Seddighi, and C. Wilke, Phys. Lett. A 182, 312 (1993).
19. M. E. Koepke, M. J. Alport, T. E. Sheridan, W. E. Amatucci, and J. J. Carroll, III, Geophys. Res. Lett. 21, 1011 (1994).
20. T. Klinger, F. Greiner, A. Rohde, A. Piel, and M. E. Koepke, Phys. Rev. E 52, 4316 (1995).
21. M. E. Koepke, T. Klinger, F. Seddighi, and A. Piel, Plasma Phys. 3, 4421 (1996).
22. C. K. Birdsall and W. B. Bridges, Electron Dynamics of Diode Regions (Academic, New York, 1966).
23. T. J. T. Kwan, Phys. Fluids 27, 228 (1984).
24. T. J. T. Kwan and L. E. Thode, Phys. Fluids 27, 1570 (1984).
25. E. A. Coutsias and D. J. Sullivan, Phys. Rev. A 27, 1535 (1983).
26. A. Kadish, R. J. Faehl, and C. M. Snell, Phys. Fluids 29, 4192 (1986).
27. V. D. Selemir, B. V. Alekhin, V. E. Vatrunin, A. E. Dubinov, N. V. Stepanov, O. A. Shamro, and K. V. Shibalko, Plasma Phys. Rep. 20, 621 (1994).
28. W. Jiang, K. Masugata, and K. Yatsui, Phys. Plasmas 2, 982 (1995).
29. M. Armand, Proc. IEEE 57, 798 (1969).
30. Code created by J. Verboncœur, V. Vahedi, M. V. Alves, and C. K. Birdsall (PDP1 Plasma Device Planar 1-Dimensional Bounded Electrostatic Code), Plasma Physics and Simulation Group, University of California, Berkeley, 1990, (also see Ref. 31).
31. C. K. Birdsall, IEEE Trans. Plasma Sci. 19, 65 (1991).
32. R. A. Mahaffey, P. Sprangle, J. Golden, and C. A. Kapetanakos, Phys. Rev. Lett. 39, 843 (1977).
33. R. Mettin, U. Parlitz, and W. Lauterborn, Int. J. Bifurcation Chaos 3, 1529 (1993).
34. B. E. Keen and W. H. W. Fletcher, J. Phys. D Appl. Phys. 3, 1868 (1970).
35. P. Michelsen, H. L. Pécseli, J. J. Rasmussen, and R. Schrittwieser, Plasma Phys. 21, 61 (1979).