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Scattering theory of strongly refracting microwaves in turbulent inhomogeneous plasma. Applications of the theory to the description of fluctuation reflectometry in thermonuclear fusion devices

,
Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation

We present the theory of propagation and scattering of strongly refracting microwaves in turbulent inhomogeneous plasmas. We calculate the scattered signal amplitude in the case of a linear scattering regime in the Born approximation and in the case of multiple small-angle scattering. We discuss the possibility of an analytic description of multiple Bragg backscattering in a closed form. Based on the results of a theoretical analysis of microwave scattering regimes in inhomogeneous turbulent plasmas, we discuss the main fluctuation reflectometry schemes that are broadly used in toroidal thermonuclear fusion devices to analyze turbulence characteristics. We describe the methods for interpreting experimental data and the experimental approaches relying on reflectometry diagnostics that enhance the locality of measurements and their resolution with respect to the wave vectors of fluctuations.

Fulltext pdf (955 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2020.08.038813
Keywords: microwave scattering, fluctuation reflectometry, drift turbulence, low-frequency density fluctuation, toroidal device, thermonuclear fusion
PACS: 52.35.Hr, 52.35.Mw, 52.70.−m (all)
DOI: 10.3367/UFNe.2020.08.038813
URL: https://ufn.ru/en/articles/2020/11/d/
000613920600004
2-s2.0-85101593551
2020PhyU...63.1114G
Citation: Gusakov E Z, Popov A Yu "Scattering theory of strongly refracting microwaves in turbulent inhomogeneous plasma. Applications of the theory to the description of fluctuation reflectometry in thermonuclear fusion devices" Phys. Usp. 63 1114–1139 (2020)
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Received: 25th, December 2019, revised: 5th, July 2020, 11th, August 2020

Оригинал: Гусаков Е З, Попов А Ю «Теория рассеяния сильно рефрагирующих СВЧ-волн в турбулентной неоднородной плазме. Приложение теории к описанию флуктуационной рефлектометрии в термоядерных установках» УФН 190 1189–1216 (2020); DOI: 10.3367/UFNr.2020.08.038813

References (94) ↓ Cited by (4) Similar articles (5)

  1. Doyle E J et al Rev. Sci. Instrum. 61 3016 (1990)
  2. Golant V E Sverkhvysokochastotnye Metody Issledovaniya Plazmy (M.: Nauka, 1968)
  3. Mazzucato E, Nazikian R Phys. Rev. Lett. 71 1840 (1993)
  4. Costley A E et al Rev. Sci. Instrum. 61 2823 (1990)
  5. Vershkov V A et al Nucl. Fusion 39 1775 (1999)
  6. Bretz N Phys. Fluids B 4 2414 (1992)
  7. Hutchinson I H Plasma Phys. Control. Fusion 34 1225 (1992)
  8. Gusakov E Z, Tyntarev M A Fusion Eng. Design 34-35 501 (1997)
  9. Ginsburg V L J. Phys. USSR 7 289 (1943)
  10. Tatarskii V I Teoriya Fluktuatsionnykh Yavlenii (M.: Izd-vo AN SSSR, 1959); Per. na angl. yaz., Tatarski V I Wave Propagation In A Turbulent Media (New York: McGraw-Hill, 1961)
  11. Rytov S M, Kravtsov Yu A, Tatarskii V I Vvedenie v Statisticheskuyu Radiofiziku (M.: Nauka, 1977-1978); Per. na angl. yaz., Rytov S M, Kravtsov Yu A, Tatarski V I Principles Of Statistical Radiophysics (Berlin: Springer-Verlag, 1987-1989)
  12. Klyatskin V I Usp. Fiz. Nauk 179 547 (2009); Klyatskin V I Phys. Usp. 52 514 (2009)
  13. Born M Z. Phys. 38 803 (1926)
  14. Joachain C J Quantum Collision Theory (Amsterdam: North-Holland Publ. Co., 1975)
  15. Gusakov E Z, Popov A Yu Plasma Phys. Control. Fusion 44 2327 (2002)
  16. Gusakov E Z, Popov A Yu Plasma Phys. Control. Fusion 46 1393 (2004)
  17. Gusakov E Z, Surkov A V, Popov A Yu Plasma Phys. Control. Fusion 47 959 (2005)
  18. Gusakov E Z, Heuraux S, Popov A Yu Plasma Phys. Control. Fusion 51 065018 (2009)
  19. Golant V E, Piliya A D Usp. Fiz. Nauk 104 413 (1971); Golant V E, Piliya A D Sov. Phys. Usp. 14 413 (1972)
  20. Shalashov A G, Gospodchikov E D Usp. Fiz. Nauk 182 157 (2012); Shalashov A G, Gospodchikov E D Phys. Usp. 55 147 (2012)
  21. Piliya A D Zh. Tekh. Fiz. 36 2195 (1966); Piliya A D Sov. Phys. Tech. Phys. 11 1639 (1967)
  22. Gusakov E Z, Piliya A D Pis’ma ZhTF 18 (10) 63 (1992); Gusakov E Z, Piliya A D Sov. Tech. Phys. Lett. 18 325 (1992)
  23. Novik K M, Piliya A D Plasma Phys. Control. Fusion 36 357 (1994)
  24. Brusehaber B, Gusakov E Z, Kramer M, Piliya A D Plasma Phys. Control. Fusion 36 997 (1994)
  25. Gusakov E Z et al Plasma Phys. Control. Fusion 42 1033 (2000)
  26. Gusakov E Z, Surkov A V Fizika Plazmy 27 1027 (2001); Gusakov E Z, Surkov A V Plasma Phys. Rep. 27 971 (2001)
  27. Gusakov E Z, Surkov A V Fizika Plazmy 28 898 (2002); Gusakov E Z, Surkov A V Plasma Phys. Rep. 28 827 (2002)
  28. Gusakov E Z Fizika Plazmy 28 627 (2002); Gusakov E Z Plasma Phys. Rep. 28 580 (2002)
  29. Gusakov E Z, Surkov A V Fizika Plazmy 29 49 (2003); Gusakov E Z, Surkov A V Plasma Phys. Rep. 29 42 (2003)
  30. Gusakov E Z, Surkov A V Pis’ma ZhTF 29 (16) 89 (2003); Gusakov E Z, Surkov A V Tech. Phys. Lett. 29 698 (2003)
  31. Arkhipenko V I i dr Pis’ma ZhETF 59 393 (1994); Arkhipenko V I et al JETP Lett. 59 420 (1994)
  32. Arkhipenko V I et al Plasma Phys. Control. Fusion 37 A347 (1995)
  33. Bulyiginskiy D G et al Phys. Plasmas 8 2224 (2001)
  34. Gurchenko A D i dr Fizika Plazmy 31 521 (2005); Gurchenko A D et al Plasma Phys. Rep. 31 476 (2005)
  35. Gusakov E Z et al Plasma Phys. Control. Fusion 48 B443 (2006)
  36. Gospodchikov E D, Khusainov T A, Shalashov A G Fizika Plazmy 42 695 (2016); Gospodchikov E D, Khusainov T A, Shalashov A G Plasma Phys. Rep. 42 723 (2016)
  37. Khusainov T A, Gospodchikov E D, Shalashov A G Zh. Eksp. Teor. Fiz. 153 366 (2018); Khusainov T A, Gospodchikov E D, Shalashov A G J. Exp. Theor. Phys. 126 302 (2018)
  38. Shalashov A G et al Plasma Phys. Control. Fusion 60 105009 (2018)
  39. Gusakov E Z, Kosolapova N V Plasma Phys. Control. Fusion 53 045012 (2011)
  40. Ginzburg B L Rasprostranenie Elektromagnitnykh Voln v Plazme 2-e izd., pererab. (M.: Nauka, 1967); Per. na angl. yaz., Ginzburg V L The Propagation Of Electromagnetic Waves In Plasmas (Oxford: Pergamon Press, 1970)
  41. Piliya A D, Popov A Yu Plasma Phys. Control. Fusion 44 467 (2002)
  42. Akhiezer A I i dr Elektrodinamika Plazmy (M.: Nauka, 1974); Per. na angl. yaz., Akhiezer A I et al Plasma Electrodynamics (Intern. Ser. of Monographs in Natural Philosophy) Vol. 68 (Oxford: Pergamon Press, 1975)
  43. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred 2-e izd., ispr. (M.: Nauka, 1982); Per. na angl. yaz., Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  44. Afeyan B B, Chou A E, Cohen B I Plasma Phys. Control. Fusion 37 315 (1994)
  45. Heuraux S et al Rev. Sci. Instrum. 74 1501 (2003)
  46. Gusakov E Z, Yakovlev B O Plasma Phys. Control. Fusion 44 2525 (2002)
  47. Gusakov E Z, Surkov A V Plasma Phys. Control. Fusion 46 1143 (2004)
  48. Evgrafov M A Analiticheskie Funktsii 3-e izd., pererab. i dop. (M.: Nauka, 1991); Per. na angl. yaz., Evgrafov M A Analytic Functions (Mineola, NY: Dover Publ., 2019)
  49. Hutchinson I H Plasma Phys. Control. Fusion 34 1225 (1992)
  50. Kosolapova N V, Gusakov E Z, Heuraux S Plasma Phys. Control. Fusion 54 035008 (2012)
  51. Schirmer J et al and the ASDEX Upgrade Team Plasma Phys. Control. Fusion 49 1019 (2007)
  52. Gusakov E Z, Popov A Yu Proc. of the 10th Intern. Reflectometry Workshop, Padova, Italy, May, 4 - 6, 2011; Gusakov E Z, Popov A Yu https://www.igi.cnr.it/irw10/proceedings/PopovAYu.pdf
  53. Gusakov E Z, Popov A Yu Proc. Of The 38th EPS Conf. On Plasma Physics, Strasbourg, France, 27 June - 1 July 2011 (Europhysics Conference Abstracts) Vol. 35G (Eds A Becoulet, T Hoang, U Stroth) (Mulhouse: European Physical Society, 2011) p. P4.056
  54. Gusakov E, Irzak M, Popov A Plasma Phys. Control. Fusion 56 025009 (2014)
  55. Blanco E, Estrada T Plasma Phys. Control. Fusion 55 125006 (2013)
  56. Gusakov E Z, Irzak M A, Popov A Yu, Teplova N V Plasma Phys. Control. Fusion 57 075009 (2015)
  57. Gusakov E Z et al Phys. Plasmas 24 022119 (2017)
  58. Gusakov E Z, Krutkin O L Fizika Plazmy 43 503 (2017); Gusakov E Z, Krutkin O L Plasma Phys. Rep. 43 605 (2017)
  59. Abramowitz M, Stegun I A Handbook Of Mathematical Functions With Formulas, Graphs, And Mathematical Tables (United States. National Bureau of Standards. Applied Mathematics Series) Vol. 55 (Washington, DC: U.S. Govt. Print. Off., 1964)
  60. Valeo E J, Kramer G J, Nazikian R Plasma Phys. Control. Fusion 44 L1 (2002)
  61. Gusakov E Z et al Plasma Phys. Control. Fusion 44 1565 (2002)
  62. Gusakov E, Yakovlev B Proc. of the 28th EPS Conf. Controlled Fusion and Plasma Physics, 18 - 22 June 2001, Madeira, Portugal (Europhysics Conference Abstracts) Vol. 25A (Eds C Silva, C Varandas, D Campbell) (Mulhouse: European Physical Society, 2001) p. 361
  63. Nazikian R et al Phys. Rev. Lett. 94 135002 (2005)
  64. Kolmogoroff A Grundbegriffe Der Wahrscheinlichkeitsrechnung (Berlin: J. Springer, 1933); Per. na angl. yaz., Kolmogorov A N Foundations Of The Theory Of Probability 2nd ed. (New York: Chelsea Publ. Co., 1956)
  65. Gusakov E, Heuraux S, Popov A, Schubert M Plasma Phys. Control. Fusion 54 045008 (2012)
  66. Shelukhin D A i dr Fizika Plazmy 32 771 (2006); Shelukhin D A et al Plasma Phys. Rep. 32 707 (2006)
  67. Nazikian R, Mazzucato E Rev. Sci. Instrum. 66 392 (1995)
  68. Leclert G et al Proc. of the 30th EPS Conf. Controlled Fusion and Plasma Physics, St. Petersburg, July 7 - 11, 2003 (Europhysics Conference Abstracts) Vol. 27A (Eds R Koch, S Lebedev) (Mulhouse: European Physical Society, 2003)
  69. Leclert G et al Plasma Phys. Control. Fusion 48 1389 (2006)
  70. Altukhov A B et al Phys. Plasmas 25 082305 (2018)
  71. Altukhov A B et al Plasma Phys. Control. Fusion 58 105004 (2016)
  72. Happel T et al and the ASDEX Upgrade Team Plasma Phys. Control. Fusion 59 054009 (2017)
  73. Altukhov A B et al Phys. Plasmas 25 112503 (2018)
  74. Hirsch M et al Plasma Phys. Control. Fusion 43 1641 (2001)
  75. Krutkin O L, Gusakov E Z, Heuraux S, Lechte C Plasma Phys. Control. Fusion 61 045010 (2019)
  76. Pinzón J R et al Plasma Phys. Control. Fusion 59 035005 (2017)
  77. Clairet F et al Rev. Sci. Instrum. 73 1481 (2003)
  78. Boucher I et al Plasma Phys. Control. Fusion 40 1489 (1998)
  79. Gusakov E et al Phys. Scr. 84 045504 (2011)
  80. Piliya A D Zh. Eksp. Teor. Fiz. 64 1237 (1973); Piliya A D Sov. Phys. JETP 37 629 (1973)
  81. Erdelyi A (Ed.) Higher Transcendental Functions Vol. 2 (New York: McGraw-Hill, 1953)
  82. Hacquin S et al J. Comput. Phys. 174 1 (2001)
  83. Chou A E, Afeyan B B, Cohen B I Rev. Sci. Instrum. 66 1216 (1995)
  84. Sysoeva E V, Gusakov E Z, Heuraux S Plasma Phys. Control. Fusion 55 115001 (2013)
  85. Leerink S et al Contrib. Plasma Phys. 50 242 (2010)
  86. Leerink S et al Phys. Rev. Lett. 109 165001 (2012)
  87. Hillesheim J C et al Rev. Sci. Instrum. 83 10E331 (2012)
  88. Holland C et al Nucl. Fusion 52 063028 (2012)
  89. Gusakov E Z et al Plasma Phys. Control. Fusion 55 124034 (2013)
  90. Stroth U et al Nucl. Fusion 55 083027 (2015)
  91. Ernst D R et al and the DIII-D Team Phys. Plasmas 23 056112 (2016)
  92. Lechte C et al and the ASDEX Upgrade Team Plasma Phys. Control. Fusion 59 075006 (2017)
  93. Heikkinen J A et al J. Comput. Phys. 227 5582 (2008)
  94. Krutkin O L et al Nucl. Fusion 59 096017 (2019)
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