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Theory of plasma emitter of positive ions

 a,  a, b
a Budker Institute of Nuclear Physics, Siberian Branch of the Russian Academy of Sciences, prosp. akad. Lavrenteva 11, Novosibirsk, 630090, Russian Federation
b Novosibirsk State University, ul. Pirogova2, Novosibirsk, 630090, Russian Federation

The results obtained to date by the one-dimensional theory of the emission of positive ions by a plasma are reviewed from a unified point of view. A simple and a generalized forms of the Bohm criterion are discussed. The unipolar sheath model and the two-scale theory are outlined. Kinetic and hydrodynamic models for the formation of the Debye sheath and of the ionization zone in the pre-sheath are described. It is shown that except for some artificial ionization models, the Bohm criterion is fulfilled in the equality form. The emission current from the plasma emitter is calculated in the hydrodynamic and kinetic approximations. Existing numerical codes for the simulation of positive ion sources in two and three dimensions are briefly described.

Text can be downloaded in Russian. English translation is available here.
Keywords: Bohm criterion, plasma sheaths, space-charge-dominated beams, plasma simulation
PACS: 41.75.Ak, 41.85.Ar, 52.25.Jm, 52.40.Kh, 52.59.Bi, 52.59.Sa, 52.65.−y (all)
DOI: 10.3367/UFNe.0185.201507c.0753
URL: https://ufn.ru/en/articles/2015/7/c/
Citation: Kotelnikov I A, Astrelin V T "Theory of plasma emitter of positive ions" Phys. Usp. 58 701–718 (2015)
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Received: 26th, March 2015, revised: 7th, May 2015, 12th, May 2015

:   ,    « » 185 753–771 (2015); DOI: 10.3367/UFNr.0185.201507c.0753

References (127) ↓ Cited by (8) Similar articles (3)

  1. Gabovich M D Fizika i Tekhnika Plazmennykh Istochnikov Ionov (M.: Atomizdat, 1972)
  2. Gabovich M D, Pleshivtsev N V, Semashko N N Puchki Ionov i Atomov dlya Upravlyaemogo Termoyadernogo Sinteza i Tekhnologicheskikh Tselei (M.: Energoatomizdat, 1986); Gabovich M D, Pleshivtsev N V, Semashko N N Ion And Atomic Beams For Controlled Fusion And Technology (New York: Consultants Bureau, 1989)
  3. Gabovich M D Usp. Fiz. Nauk 121 259 (1977); Gabovich M D Sov. Phys. Usp. 20 134 (1977)
  4. Forrester A T Large Ion Beams: Fundamentals Of Generation And Propagation (New York: Wiley, 1988), Ch. 3
  5. Kreindel’ Yu E Plazmennye Istochniki Elektronov (M.: Energoatomizdat, 1977)
  6. Koval’ N N i dr. Emissionnaya Elektronika (Ser. Elektronika, Pod red. Yu S Protasova) (M.: Izd-vo MGTU im. N.E. Baumana, 2009)
  7. Bohm D "Minimum ionic kinetic energy for a stable sheath" The Characteristics Of Electrical Discharges In Magnetic Fields (National Nuclear Energy Ser. Manhattan Project Technical Section, Division I) Vol. 5 (Eds A Guthrie, R K Wakerling) (New York: McGraw-Hill, 1949) p. 77 - 86
  8. Chen F F Plasma Diagnostic Techniques (Pure and Applied Physics) Vol. 21 (Eds R H Huddlestone, S L Leonard) (New York: Academic Press, 1965), Ch. 3
  9. Chapman B Glow Discharge Processes: Sputtering And Plasma Etching (New York: Wiley, 1980), Ch. 4
  10. Chen F F Introduction To Plasma Physics And Controlled Fusion Vol. 1 (New York: Plenum Press, 1984), Ch. 8
  11. Lieberman M A, Lichtenberg A J Principles Of Plasma Discharges And Materials Processing (New York: Wiley, 1994), Ch. 6
  12. Chen F F, Chang J P Lecture Notes On Principles Of Plasma Processing (New York: Kluwer Acad./Plenum Publ., 2003)
  13. Humphries S Charged Particle Beams (Mineola: Dover Publ., 2013), Ch. 7
  14. Stangeby P C The Plasma Boundary Of Magnetic Fusion Devices (Plasma Physics Series) Vol. 7 (Bristol: Institute of Physics Publ., 2000)
  15. Langmuir I General Electric Rev. 26 731 (1923)
  16. Langmuir I, Mott-Smith H General Electric Rev. 27 449 (1924)
  17. Langmuir I Proc. Natl. Acad. Sci. USA 14 627 (1928)
  18. Langmuir I Phys. Rev. 33 954 (1929)
  19. Tonks L, Langmuir I Phys. Rev. 34 876 (1929)
  20. Kagan Yu M, Perel’ V I Usp. Fiz. Nauk 81 409 (1963); Kagan Yu M, Perel’ V I Sov. Phys. Usp. 6 767 (1964)
  21. Huddlestone R H, Leonard S L (Eds) Plasma Diagnostic Techniques (New York: Academic Press, 1965); Khaddlstoun R, Leonard S (Red.) Diagnostika Plazmy (M.: Mir, 1967)
  22. Kozlov O V Elektricheskii Zond v Plazme (M.: Atomizdat, 1969)
  23. Lochte-Holtgreven W Plasma Diagnostics (Amsterdam: North-Holland, 1968); Lokhte-Khol’tgreven V (Red.) Metody Issledovaniya Plazmy. Spektroskopiya, Lazery, Zondy (M.: Mir, 1971)
  24. Davydenko V I, Ivanov A A, Vaisen G Eksperimental’nye Metody Diagnostiki Plazmy (Novosibirsk: Izd. Tsentr NGU, 1999)
  25. Riemann K U, TsendL J. Appl. Phys. 90 5487 (2001)
  26. Child C D Phys. Rev. I 32 492 (1911)
  27. Langmuir I Phys. Rev. 2 450 (1913)
  28. Riemann K U Phys. Plasmas 10 3432 (2003)
  29. Caruso A, Cavaliere A Nuovo Cimento 10 26 1389 (1962)
  30. Riemann K U J. Phys. D Appl. Phys. 24 493 (1991)
  31. Riemann K U J. Tech. Phys. 41 89 (2000)
  32. Riemann K U J. Phys. D Appl. Phys. 36 2811 (2003)
  33. Riemann K U Phys. Plasmas 13 063508 (2006)
  34. Hall L S Phys. Fluids 4 388 (1961)
  35. Cohen R H, Ryutov D D Contrib. Plasma Physics 44 111 (2004)
  36. Cipolla J W, Silevitch M B J. Plasma Phys. 25 373 (1981)
  37. Allen J E Plasma Sources Sci. Technol. 18 014004 (2009)
  38. Kotel’nikov I A Lektsii Po Fizike Plazmy (M.: Binom, 2013)
  39. Nikulin S P Trudy 2-go Kreindelevskogo seminara "Plazmennaya emissionnaya elektronika", Ulan-Ude, 17 - 24 iyunya 2005 g. (2005) p. 51 - 53
  40. Londer Ya I, Ul’yanov K N Fizika Plazmy 39 949 (2013); Londer Ya I, Ul’yanov K N Plasma Phys. Rep. 39 849 (2013)
  41. Allen J E, Thonemann P C Proc. Phys. Soc. B 67 768 (1954)
  42. Scheuer J T, Emmert G A Phys. Fluids 31 3645 (1988)
  43. Godyak V A Phys. Lett. A 89 80 (1982)
  44. Godyak V A, Sternberg N Phys. Rev. A 42 2299 (1990)
  45. Braun S Usp. Fiz. Nauk 133 693 (1981); Brown S C Gaseous Electronics Vol. 1 Electrical Discharges (Eds M N Hirsh, H J Oskam) (New York: Academic Press, 1978) p. 1
  46. Kotel’nikov I A Vestnik NGU (3) 108 (2008)
  47. Franklin R N, Snell J Phys. Plasmas 7 3077 (2000)
  48. Franklin R N, Snell J Phys. Plasmas 8 643 (2001)
  49. Ul’yanov K N Teplofiz. Vysokikh Temperatur 38 367 (2000); Ul’yanov K N High Temp. 38 344 (2000)
  50. Nikulin S P Izv. Vuzov. Fizika (4) 3 (2011); Nikulin S P Russ. Phys. J. 54 393 (2011)
  51. Kino G S, Shaw E K Phys. Fluids 9 587 (1966)
  52. Lam S H Phys. Fluids 8 73 (1965)
  53. Lam S H Phys. Fluids 8 1002 (1965)
  54. Franklin R N, Ockendon J R J. Plasma Phys. 4 371 (1970)
  55. Riemann K U Phys. Plasmas 4 4158 (1997)
  56. Godyak V, Sternberg N Phys. Plasmas 9 4427 (2002)
  57. Allen J E Phys. Plasmas 10 1528 (2003)
  58. Tskhakaya D D, Shukla P K Phys Plasmas 10 3437 (2003)
  59. Benilov M S Phys. Plasmas 10 4584 (2003)
  60. Franklin R N Phys. Plasmas 10 4589 (2003)
  61. Harrison E R, Thompson W B Proc. Phys. Soc. 74 145 (1959)
  62. Boyd R L F, Thompson J B Proc. R. Soc. Lond. A 252 102 (1959)
  63. Bertotti B, Cavaliere A Nuovo Cimento 10 35 1244 (1965)
  64. Allen J E Plasma Physics Vol. 1 (Ed B E Keen) (London: Institute of Physics, 1974)
  65. Allen J E J. Phys. D Appl. Phys. 9 2331 (1976)
  66. Cavaliere A, Engelmann F, Sestero A Phys. Fluids 11 158 (1968)
  67. Franklin R N Plasma Phenomena In Gas Discharges (Oxford: Clarendon Press, 1976)
  68. Prewett P D, Allen J E Proc. R. Soc. Lond. A 348 435 (1976)
  69. Braithwaite N St J, Allen J E J. Phys. D Appl. Phys. 21 1733 (1988)
  70. Raadu M A, Rasmussen J J Astrophys. Space Sci. 144 43 (1988)
  71. Raadu M A Phys. Rep. 178 25 (1989)
  72. Baalrud S D, Hegna C C Phys. Plasmas 18 023505 (2011)
  73. Dubinov A E, Senilov L A Zh. Tekh. Fiz. 82 (8) 50 (2012); Dubinov A E, Senilov L A Tech. Phys. 57 1090 (2012)
  74. Humphries S (Jr.) J. Comput. Phys. 204 587 (2005)
  75. Emmert G A et al. Phys. Fluids 23 803 (1980)
  76. Riemann K U Phys. Fluids 24 2163 (1981)
  77. FAR-TECH Inc PBGUNS Manual, FAR-TECH, Inc., 2013, http://far-tech.com/pbguns/manuals.html
  78. Astrelin V et al. 15th Intern. Symp. on High-Current Electronics, September 21 - 26, 2008, Tomsk, Russia
  79. Astrelin V T Uspekhi Prikladnoi Fiziki 1 574 (2013)
  80. Dubinov A E, Senilov L A Pis’ma ZhTF 37 (19) 23 (2011); Dubinov A E, Senilov L A Tech. Phys. Lett. 37 900 (2011)
  81. Davydenko V I, Dimov G I, Roslyakov G V DAN 271 1380 (1983); Davydenko V I, Dimov G I, Roslyakov G V Sov. Phys. Dokl. 28 685 (1983)
  82. Kotel’nikov I A, Skovorodin D I Fizika Plazmy (2015), napravlena v zhurnal
  83. Abdrashitov G F et al. Plasma Science, 1995. IEEE Conf. Record — Abstracts., 1995 IEEE Intern. Conf. (1995) p. 121
  84. Davydenko V I et al. Rev. Sci. Instrum. 68 1418 (1997)
  85. Ivanov A A et al. Rev. Sci. Instrum. 71 3728 (2000)
  86. Abdrashitov G F et al. Rev. Sci. Instrum. 72 594 (2001)
  87. Davydenko V I, Ivanov A A Rev. Sci. Instrum. 75 1809 (2004)
  88. Davydenko V I, Ivanov A A, Korepanov S A, Kotelnikov I A Rev. Sci. Instrum. 77 03B902 (2006)
  89. Den Hartog D J et al. Rev. Sci. Instrum. 77 10F122 (2006)
  90. Davydenko V I, Ivanov A A, Kotelnikov I A, Tiunov M A Nucl. Instrum. Meth. Phys. Res. A 576 259 (2007)
  91. Kotelnikov I A t al. Rev. Sci. Instrum. 79 02B702 (2008)
  92. Listopad A A et al. Rev. Sci. Instrum. 81 02B104 (2010)
  93. Sorokin A et al. Rev. Sci. Instrum. 81 02B108 (2010)
  94. Belchenko Yu I et al. AIP Conf. Proc. 1515 167 (2013)
  95. Becker R Rev. Sci. Instrum. 67 1132 (1996)
  96. Turek M et al. Prib. Tekh. Eksp. (1) 101 (2009); Turek M et al. Instrum. Exp. Tech. 52 90 (2009)
  97. Lawrie S R et al. Rev. Sci. Instrum. 81 02A707 (2010)
  98. Miyamoto K et al. Appl. Phys. Lett. 102 023512 (2013)
  99. Il’in V P Chislennye Metody Resheniya Zadach Elektrofiziki (M.: Nauka, 1985)
  100. Tozoni O V Matematicheskie Modeli dlya Rascheta Elektricheskikh i Magnitnykh Polei (Kiev: Naukova dumka, 1964); Tozoni O V Mathematical Models For The Evaluation Of Electric And Magnetic Fields (London: Iliffe, 1968)
  101. Strang G, Fix G J An Analysis Of The Finite Element Method (Englewood Cliffs, N.J.: Prentice-Hall, 1973); Streng G, Fiks Dzh Teoriya Metoda Konechnykh Elementov (M.: Mir, 1977)
  102. Grigor’ev Yu N, Vshivkov V A, Fedoruk M P Chislennoe Modelirovanie Metodami Chastits v Yacheikakh (Novosibirsk: Izd-vo SO RAN, 2004)
  103. Whealton J H et al. J. Appl. Phys. 64 6210 (1988)
  104. Boers J E Plasma Science, 1993. IEEE Intern. Conf. p. 213
  105. Boers J E Proc. of the Particle Accelerator Conf., 1995 Vol. 4 (1995) p. 2312 - 2313
  106. Spädtke P, Mühle C Rev. Sci. Instrum. 71 820 (2000)
  107. Spädtke P Rev. Sci. Instrum. 75 1643 (2004)
  108. Spädtke P The Physics And Technology Of Ion Sources (Ed. I G Brown) 2nd ed. (New York: Wiley, 2006) p. 41 - 60
  109. Litovko I V Cybernetics Syst. Analysis 44 780 (2008)
  110. Spaedtke P "AXCEL code" Ing. Buro fur Naturwissenschaft und Programmentwicklung (1983)
  111. Spaedtke P "AXCEL-GSI Code" Report GSI GSI-38-9 (1983)
  112. Spaedtke P Proc. 1984 Linear Accelerator Conf., Seeheim, Germany (1984) p. 356
  113. Astrelin V T, Ivanov V Ya Avtometriya 3 92 (1980)
  114. Astrelin V T, Ivanov V Ya Trudy IV Vsesoyuznogo seminara "Metody rascheta elektronno-opticheskikh sistem" (Novosibirsk, 1982) p. 10 - 14
  115. Astrelin V T, Ivanov V Ya Avtometriya 4 87 (1982)
  116. Astrelin V T Zababakhinskie nauchnye chteniya: Sbornik materialov IX Mezhdunarodnoi konf. Tezisy (Snezhinsk, 2007) p. 115 - 116
  117. Astrelin V T, Kandaurov I V, Trunev Yu A Zh. Tekh. Fiz. 84 (2) 106 (2014); Astrelin V T, Kandaurov I V, Trunev Yu A Tech. Phys. 59 258 (2014)
  118. Astrelin V T, Davydenko V I, Kolmogorov A V Izv. Vuzov. Fizika 57 (11-3) 128 (2014)
  119. Boris J P Proc. Of The 4th Conf. On Numerical Simulation Of Plasmas (Washington, D.C.: Naval Res. Lab., 1970) p. 3 - 67
  120. Petrovich O N, Gruzdev V A Prikladnaya Fizika (2) 79 (2012)
  121. Petrovich O N "Modelirovanie elektronno-opticheskikh sistem s plazmennym emitterom" Diss. ... Kand. Tekh. Nauk (Novopolotsk, Belarus’: Polotskii gosudarstvennyi universitet, 2013)
  122. Sveshnikov V M, Zalesskii V G, Petrovich O N Prikladnaya Fizika (2) 40 (2012)
  123. Kenichi A et al. Jpn. J. Appl. Phys. 15 1343 (1976)
  124. Pierce J R J. Appl. Phys. 11 548 (1940)
  125. Pierce J R Theory And Design Of Electron Beams (New York: Van Nostrand, 1954)
  126. Radley D E J. Electron. Control 4 125 (1958)
  127. Sorokin A V (2015), Chastnoe soobshchenie

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