Modification of electron velocity distribution in bounded plasmas by secondary electron emission

IEEE Transactions on Plasma Science

Volumn 34, Issue 3 PART 2, 2006, Pages 815-824

  Sydorenko, Dmytro ^a   Smolyakov, Andrei ^a   Kaganovich, Igor ^b   Raitses, Yevgeny ^b  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

^b PRINCETON PLASMA PHYSICS LABORATORY   (United States)

Author keywords

Electron beams; Electron emission; Hall effect; Particle collisions; Plasma engines; Plasma sheaths

Indexed keywords

AVERAGE ENERGIES; BOUNDED PLASMAS; COULOMB COLLISIONS; DIELECTRIC WALLS; ELECTRON DISTRIBUTION FUNCTIONS; ELECTRON VELOCITY DISTRIBUTION FUNCTIONS; ELECTRON VELOCITY DISTRIBUTIONS; ENERGY OF ELECTRONS; EXTERNAL MAGNETIC FIELDS; HALL THRUSTER DISCHARGES; NEAR WALLS; NEUTRAL ATOMS; PARTICLE COLLISIONS; PARTICLE-IN-CELL CODES; PLASMA ENGINES; PLASMA POTENTIALS; PLASMA SLABS; SECONDARY ELECTRON EMISSIONS; SIMULATED SYSTEMS; VELOCITY COMPONENTS; WALL LOSS;

ATOMS; DISCHARGE (FLUID MECHANICS); DISTRIBUTION FUNCTIONS; ELECTRIC DISCHARGES; ELECTRIC FIELDS; ELECTRON BEAMS; ELECTRON VELOCITY ANALYZERS; GYRATORS; HALL EFFECT; KINETIC THEORY OF GASES; MAGNETIC FIELD EFFECTS; NORMAL DISTRIBUTION; PLASMA DEVICES; PLASMA DIAGNOSTICS; PLASMA SHEATHS; SECONDARY EMISSION; VELOCITY; VELOCITY CONTROL; VELOCITY DISTRIBUTION;

ELECTRONS;

EID: 34047112546     PISSN: 00933813     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPS.2006.875727     Document Type: Conference Paper

References (47)

1. I. Kaganovich, M. Misina, S. V. Berezhnoi, and R. Gijbels, "Electron Boltzmann kinetic equation averaged over fast electron bouncing and pitch-angle scattering for fast modeling of electron cyclotron resonance discharge," Phys. Rev. E, vol. 61, pp. 1875-1889, 2000.
2. V. A. Godyak and R. B. Piejak, "Abnormally low electron energy and heating-mode transition in a low-pressure argon rf discharge at 13.56 MHz," Phys. Rev. Lett., vol. 65, pp. 996-999, 1990.
3. V. A. Godyak and V. I. Kolobov, "Effect of collisionless heating on electron energy distribution in an inductively coupled plasma," Phys. Rev. Lett., vol. 81, pp. 369-372, 1998.
4. V. A. Godyak, "Nonequilibrium EEDF in gas discharge plasmas," IEEE Trans. Plasma Sci., vol. 34, no. 3, pp. 755-766, Jun. 2006.
5. R. R. Arslanbekov and A. A. Kudravtsev, "Modeling of nonlocal electron kinetics in a low-pressure afterglow plasma," Phys. Rev. E, vol. 58, pp. 7785-7798, 1998.
6. G. D. Hobbs and J. A. Wesson, "Heat flow through a Langmuir sheath in the presence of electron emission," Plasma Phys., vol. 9, pp. 85-87, 1967.
7. E. Y. Choueiri, "Fundamental difference between the two Hall thruster variants," Phys. Plasmas, vol. 8, pp. 5025-5033, 2001.
8. M. Keidar, I. D. Boyd, and I. I. Beilis, "Plasma flow and plasma-wall transition in Hall thruster channel," Phys. Plasmas, vol. 8, pp. 5315-5322, 2001.
9. E. Ahedo, J. M. Gallardo, and M. Martinez-Sanchez, "Effects of the radial plasma-wall interaction on the Hall thruster discharge," Phys. Plasmas, vol. 10, pp. 3397-3409, 2003.
10. S. Barral, K. Makowski, Z. Peradzynski, N. Gascon, and M. Dudeck, "Wall material effects in stationary plasma thrusters. II. Near-wall and in-wall conductivity," Phys. Plasmas, vol. 10, pp. 4137-4152, 2003.
11. Y. Raitses, D. Staack, A. Smirnov, and N. J. Fisch, "Space charge saturated sheath regime and electron temperature saturation in Hall thrusters," Phys. Plasmas, vol. 12, p. 073507, 2005.
12. D. Staack, Y. Raitses, and N. J. Fisch, "Temperature gradient in Hall thrusters," Appl. Phys. Lett., vol. 84, pp. 3028-3030, 2004.
13. N. B. Meezan and M. A. Cappelli, "Kinetic study of wall collisions in a coaxial Hall discharge," Phys. Rev. E, vol. 66, p. 036401, 2002.
14. D. Sydorenko and A. Smolyakov, "Simulation of secondary electron emission effects in a plasma slab in crossed electric and magnetic fields," Bull. Amer. Phys. Soc., vol. 49, p. 261, 2004.
15. D. Sydorenko, A. Smolyakov, I. Kaganovich, and Y. Raitses, "Modification of electron velocity distribution in bounded plasmas by secondary electron emission," presented at the Workshop Nonlocal Collisionless Phenomena in Plasmas, Princeton Plasma Phys. Lab., Princeton, NJ, Aug. 2-4, 2005..
16. D. Sydorenko, A. Smolyakov, I. Kaganovich, and Y. Raitses, "Kinetic simulation of effects of secondary electron emission on electron temperature in Hall thrusters," in Proc. 29th Int. Electric Propulsion Conf.,, Princeton Univ., Princeton, NJ, Oct. 31-Nov. 4 2005.
17. A. B. Langdon, B. I. Cohen, and A. Friedman, "Direct implicit large time-step particle simulation of plasmas," J. Comput. Phys., vol. 51, pp. 107-138, 1983.
18. M. R. Gibbons and D. W. Hewett, "The Darwin direct implicit particle-in-cell (DADIPIC) method for simulation of low frequency plasma phenomena," J. Comput. Phys., vol. 120, pp. 231-247, 1995.
19. V. Vahedi and M. Surendra, "A Monte Carlo collision model for the particle-in-cell method: Applications to argon and oxygen discharges," Comput. Phys. Commun., vol. 87, pp. 179-198, 1995.
20. A. Smirnov, Y. Raitses, and N. Fisch, "Electron cross-field transport in a low power cylindrical Hall thruster," Phys. Plasmas, vol. 11, pp. 4922-4933, 2004.
21. M. Hirakawa and Y. Arakawa, "Particle simulation of plasma phenomena in Hall thrusters," presented at the Proc. of the 24th International Electric Propulsion Conference, Moscow, Russia, Sep. 1995, IEPC paper 95-164.
22. W. M. Manheimer,M. Lampe, and G. Joyce, "Langevin representation of Coulomb collisions in pic simulations," J. Comput. Phys., vol. 138, pp. 563-584, 1997.
23. V. P. Gopinath, J. P. Verboncoeur, and C. K. Birdsall, "Multipactor electron discharge physics using an improved secondary emission model," Phys. Plasmas, vol. 5, pp. 1535-1540, 1998.
24. H. Seiler, "Secondary electron emission in the scanning electron microscope," J. Appl. Phys., vol. 54, pp. R1-R18, 1983.
25. J. R. M.Vaughan, "A newformula for secondary emission yield," IEEE Trans. Electron Devices, vol. 36, no. 9, pp. 1963-1967, Sep. 1989.
26. A. Dunaevsky, Y. Raitses, and N. J. Fisch, "Secondary electron emission from dielectric materials of a Hall thruster with segmented electrodes," Phys. Plasmas, vol. 10, pp. 2574-2577, 2003.
27. L. A. Schwager, "Effects of secondary and thermionic electron emission on the collector and source sheaths of a finite ion temperature plasma using kinetic theory and numerical simulation," Phys. Fluids B, vol. 5, pp. 631-645, 1993.
28. A. B. Mikhailovskii, Theory of Plasma Instabilities. New York: Consultants Bureau, 1974, vol. 1.
29. N. G. Matsiborko, I. N. Onishchenko, V. D. Shapiro, and V. I. Shevchenko, "On non-linear theory of instability of a mono-energetic electron beam in plasma," Plasma Phys., vol. 14, pp. 591-600, 1972.
30. A. I. Morozov and V. V. Savel'ev, "Theory of the near-wall conductivity," Plasma Phys. Rep., vol. 27, pp. 570-575, 2001.
31. D. Sydorenko, A. Smolyakov, I. Kaganovich, and Y. Raitses, "Kinetic simulation of secondary electron emission effects in Hall thrusters," Phys. Plasmas, vol. 13, p. 014501, 2006.
32. Y. Raitses, D. Staack, M. Keidar, and N. J. Fisch, "Electron wall interaction in Hall thrusters," Phys. Plasmas, vol. 12, p. 057104, 2005.
33. J. P. Boeuf and L. Garrigues, "Low frequency oscillations in a stationary plasma thruster," J. Appl. Phys., vol. 84, pp. 3541-3554, 1998.
34. I. D. Kaganovich and L. D. Tsendin, "The space-time-averaging procedure and modeling of the rf discharge. Part II: Model of collisional low-pressure rf discharge," IEEE Trans. Plasma Sci., vol. 20, no. 2, pp. 66-75, Apr. 1992.
35. I. Kaganovich, "Modeling of collisionless and kinetic effects in thruster plasmas," in Proc. 29th Int. Electric Propulsion Conf., Princeton, NJ, Oct. 31-Nov. 4 2005, IEPC-2005-096.
36. L. D. Tsendin, "Energy distribution of electrons in a weakly ionized current-carrying plasma with transverse inhomogeneity," Sov. Phys. JETP, vol. 39, p. 805, 1974.
37. M. Gryzinski, "Two-particle collisions. II. Coulomb collisions in the laboratory system of coordinates," Phys. Rev. A, vol. 138, pp. A322-A335, 1965.
38. C. Y. Ma and D. Summers, "Formation of power-law energy spectra in space plasmas by stochastic acceleration due to whistler-mode waves," Geophys. Res. Lett., vol. 25, pp. 4099-4102, 1998.
39. B. Abel and R. M. Thorne, "Electron scattering loss in Earth's inner magnetosphere - 1. Dominant physical processes," J. Geophys. Res. Space Phys., vol. 103, pp. 2385-2396, 1998.
40. U. Kortshagen and H. Schluter, "On the influence of Coulomb collisions on the electron-energy distribution function of surface-wave produced argon plasmas," J. Phys. D, vol. 25, pp. 644-651, 1992.
41. A. V. Vasenkov and M. J. Kushner, "Electron energy distributions and anomalous skin depth effects in high-plasma-density inductively coupled discharges," Phys. Rev. E, vol. 66, p. 066411, 2002.
42. M. A. Lieberman and A. J. Lichtenberg, Principles of Plasma Discharges and Materials Processing. New York: Wiley, 1994, ch. 3.
43. L. Spitzer, Physics of Fully Ionized Gases. New York: Interscience Publishers, 1962, ch. 5.
44. R. J. Goldston and P. H. Rutherford, Introduction to Plasma Physics Philadelphia, PA: Inst.Phys., 1995, ch. 11.
45. A. I. Morozov, A. I. Bugrova, and A. V. Desyatskov et al., "Atonthruster plasma accelerator," Plasma Phys. Rep., vol. 23, pp. 587-597, 1997.
46. D. Sydorenko, "Particle-in-cell simulations of electron dynamics in low-pressure discharges with magnetic fields," Ph.D. dissertation, University of Saskatchewan, Saskatchewan, Canada, 2006.
47. E. Ahedo and F. I. Parra, "Partial trapping of secondary-electron emission in a Hall thruster plasma," Phys. Plasmas, vol. 12, p. 073503, 2005.