Issues

 / 

1995

 / 

October

  

Reviews of topical problems


Dynamics of high-energy charged particles in straight and bent crystals

, , , ,
National Scientific Centre ‘Kharkov Physicotechnical Institute’, ul. Akademicheskaya 1, Kharkov, 310108, Ukraine

The problems of the dynamics of high-energy charged particles in straight and bent crystals are discussed. Various methods for describing particle scattering in crystals are considered, including the Born approximation, classical electrodynamics, and the eikonal approximation. These problems belong to the theory of nonlinear systems in which both regular and chaotic motion is possible. Various types of chennelling motion and above-barrier motion of particles in crystal along one of the crystallographic axes are discussed. Special attention is given to the studies of motion of particles in a bent crystal, which may be used to bend high-energy particle beams.

Fulltext pdf (905 KB)
Fulltext is also available at DOI: 10.1070/PU1995v038n10ABEH000114
PACS: 61.80.Az, 61.80.Mk, 05.45.+b
DOI: 10.1070/PU1995v038n10ABEH000114
URL: https://ufn.ru/en/articles/1995/10/c/
A1995TF63500003
Citation: Akhiezer A I, Shul’ga N F, Truten’ V I, Grinenko A A, Syshchenko V V "Dynamics of high-energy charged particles in straight and bent crystals" Phys. Usp. 38 1119–1145 (1995)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Àõèåçåð À È, Øóëüãà Í Ô, Òðóòåíü Â È, Ãðèíåíêî À À, Ñûùåíêî Â Â «Äèíàìèêà çàðÿæåííûõ ÷àñòèö âûñîêèõ ýíåðãèé â ïðÿìûõ è èçîãíóòûõ êðèñòàëëàõ» ÓÔÍ 165 1165–1192 (1995); DOI: 10.3367/UFNr.0165.199510c.1165

References (94) ↓ Cited by (46) Similar articles (20)

  1. Laue M Ann. Phys. (Leipzig) 41 971 (1913)
  2. Bragg W L Proc. Camb. Philos. Soc. 17 43 (1913)
  3. Williams E K K Dan. Vidensk. Selsk Mat.-Fys. Medd. 13 4 (1935)
  4. Ferretti B Nuovo Cimento 7 118 (1950)
  5. Ter-Mikaelian M L Zh. Eksp. Teor. Fiz. 25 296 (1953)
  6. Uberall H Phys. Rev. 103 1055 (1956); Uberall H Z. Naturforsch. A 17 332 (1962)
  7. Fomin S P, Shul’ga N F Phys. Lett. A 73 131 (1979)
  8. Neskovic N Phys. Rev. B 33 6030 (1986)
  9. James R W The Optical Principles Of The Diffraction Of X-Rays revised edition (London: Bell, 1962)
  10. Ryazanov M I Elektrodinamika Kondensirovannogo Veshchestva (Electrodynamics Of Condensed Matter) (Moscow: Nauka, 1984)
  11. Krivoglaz M A Difraktsiya Rentgenovskikh Luchei I Neitronov V Neideal’nykh Kristallakh (Diffraction Of X Rays And Neutrons In Nonideal Crystals) (Kiev: Naukova Dumka, 1983)
  12. Ter-Mikaelian M L Vliyanie Sredy na Elektromagnitnye Protsessy pri Vysokikh Energiyakh (Influence of the Medium on Electromagnetic Processes at High Energies) (Erevan: Izd. Akad. Nauk Arm. SSR, 1969); Ter-Mikaelian M L High-Energy Electromagnetic Processes in Condensed Media (New York: Wiley, 1972)
  13. Saenz A W, Uberall H (Eds) Coherent Radiation Sources (Berlin: Springer, 1985)
  14. Akhiezer A I, Shul’ga N F Elektrodinamika Vy Sokikh Energii V Veshchestve (Electrodynamics Of High Energies In Matter) (Moscow: Nauka, 1993); Akhiezer A I, Shul’ga N F High-Energy Electrodynamics In Matter (Amsterdam: Gordon and Breach, 1996)
  15. Kalashnikov N P, Remizovich V S, Ryazanov M I Stolknoveniya Bystrykh Zaryazhennykh Chastits V Tverdykh Telakh (Collisions Of Fast Charged Particles In Solids) (Moscow: Atomizdat, 1980)
  16. Akhiezer A I, Boldyshev V F, Shul’ga N F Fiz. Elem. Chastits At. Yadra 10 51 (1979); Akhiezer A I, Boldyshev V F, Shul’ga N F Sov. J. Part. Nucl. 10 19 (1979)
  17. Stark J Phys. Z. 13 973 (1912)
  18. Robinson M T, Oen O S Phys. Rev. 132 2385 (1963)
  19. Lindhard J K. Dan. Vidensk. Selsk. Mat.-Fys. Medd. 34 ((14)) (1965)
  20. Thompson M W Contemp. Phys. 9 375 (1968)
  21. Gemmell D S Rev. Mod. Phys. 46 129 (1974)
  22. Tulinov A F Usp. Fiz. Nauk 87 585 (1965); Tulinov A F Sov. Phys. Usp. 8 864 (1966)
  23. Baryshevskii V G Kanalirovanie, Izluchenie I Reaktsii V Kristallakh Pri Vysokikh Energiyakh (High-Energy Channelling, Radiation, And Reactions In Crystals) (Minsk: Belorussian State University, 1982)
  24. Ohtsuki Y H Charged Beam Interaction With Solids (London: Taylor and Francis, 1983)
  25. Bazylev V A, Zhevago N K Izluchenie Bystrykh Chastits V Veshchestve I Vo Vneshnikh Polyakh (Radiation Emitted By Fast Particles In Matter And In External Fields) (Moscow: Nauka, 1987)
  26. Kumakhov M A, Shirmer G Atomnye Stolknoveniya V Kristallakh (Atomic Collisions In Crystals) (Moscow: Atomizdat, 1980)
  27. Ryabov V A Effekt Kanalirovaniya (Channelling Effect) (Moscow: Energoatomizdat, 1994)
  28. Bolotin Yu L, Gonchar V Yu, Truten’ V I, Shul’ga N F "Tezisy 15 Vsesoyuznogo Soveshchaniya po Fizike Vzaimodeistviya Zaryazhennykh Chastits s Kristallami, Moscow, 1985" Abstracts of Papers presented at Fifteenth All-Union meeting on Physics of the Interaction of Charged Particles with Crystals, Moscow (Moscow: Moscow State University, 1985) p. 71; Bolotin Yu L, Gonchar V Yu, Truten’ V I, Shul’ga N F Ukr. Fiz. Zh. 31 14 (1986)
  29. Khodyrev V A Phys. Lett. A 111 63 (1985)
  30. Ellison J A Local And Global Methods Of Nonlinear Dynamics (Eds A W Saenz, W W Zachary, R Crawley) (Berlin: Springer, 1986) p. 200
  31. Akhiezer A I, Truten’ V I, Shul’ga N F Phys. Rep. 203 289 (1991)
  32. Shul’ga N F Pis’ma Zh. Eksp. Teor. Fiz. 32 179 (1980); Shul’ga N F JETP Lett. 32 166 (1980)
  33. Kimball J C, Cue N Phys. Rep. 125 69 (1985)
  34. Baryshevskii V G, Tikhomirov V V Usp. Fiz. Nauk 159 529 (1989); Baryshevskii V G, Tikhomirov V V Sov. Phys. Usp. 32 1013 (1989)
  35. Baier V N, Katkov V M, Strakhovenko V M Elektromagnitnye Protsessy pri Vysokikh Energiyakh v Orientirovannykh Kristallakh (High-Energy Electromagnetic Processes in Oriented Crystals) (Novosibirsk: Nauka, 1989)
  36. Akhiezer A I, Shul’ga N F Phys. Rep. 234 297 (1993)
  37. Akhiezer A I, Shul’ga N F Pis’ma Zh. Tekh. Fiz. 32 318 (1980); Akhiezer A I, Shul’ga N F JETP Lett. 32 294 (1980); Akhiezer A I, Shul’ga N F Zh. Eksp. Teor. Fiz. 85 94 (1983); Akhiezer A I, Shul’ga N F Sov. Phys. JETP 58 55 (1983)
  38. Baier V N, Katkov V M, Strakhovenko V M Itogi Nauki Tekh. Ser. Puchki Zaryazh. Chastits Tverd. Telo 4 57 (1992); Baier V N, Katkov V M, Strakhovenko V M Nucl. Instrum. Methods Phys. Res. Sect. B 27 360 (1987)
  39. Tsyganov E N Fermilab Reports TM-682, TM-684 (Batavia, IL: Fermi National Accelerator Laboratory, 1976)
  40. Carrigan R A Jr, Ellison J A (Eds) Relativistic Channelling (NATO ASI Series B) Vol. Vol. 165 (New York: Plenum Press, 1987)
  41. Moller S P Crystal Channeling Or How To Build A 1000 Tesla Magnet, CERN Report 94-05 (Geneva: CERN Accelerator School, 1994)
  42. Bak J F, Jensen P R, Madsboll H, et al Nucl. Phys. B 242 1 (1984)
  43. Biryukov V M, Kotov V I, Chesnokov Yu A Usp. Fiz. Nauk 164 1017 (1994); Biryukov V M, Kotov V I, Chesnokov Yu A Phys.-Usp. 37 937 (1994)
  44. Akhiezer A I, Berestetskii V B Quantum Electrodynamics (New York: Interscience, 1965)
  45. Syshchenko V V, Shul’ga N F Ukr. Fiz. Zh. 40 ((1)) 15 (1995)
  46. Landau L D, Lifshitz E M The Classical Theory Of Fields 4th edition (Oxford: Pergamon Press, 1975)
  47. Ford K W, Wheeler J A Ann. Phys. (New York) 7 259 (1959)
  48. Newton R G Scattering Theory Of Waves And Particles (New York: McGraw-Hill, 1966)
  49. Shul’ga N F, Truten’ V I Phys. Lett. A 96 307 (1983)
  50. Shul’ga N F, Truten’ V I, Fomin S P Zh. Eksp. Teor. Fiz. 87 250 (1984); Shul’ga N F, Truten’ V I, Fomin S P Sov. Phys. JETP 60 145 (1984)
  51. Lichtenberg A J, Lieberman M A Regular And Stochastic Motion (Berlin: Springer, 1983)
  52. Zaslavskii G M, Sagdeev R Z Vvedenie V Nelineinuyu Fiziku: Ot May Atnika Do Turbulentnosti I Khaosa (Introduction To Nonlinear Physics: From Pendulum To Turbulence And Chaos) (Moscow: Nauka, 1988)
  53. Henon M, Heiles C Astron J. 69 73 (1964)
  54. Bolotin Yu L, Gonchar V Yu, Inopin E V, et al Fiz. Elem. Chastits At. Yadra 20 878 (1989); Bolotin Yu L, Gonchar V Yu, Inopin E V, et al Sov. J. Part. Nucl. 20 372 (1989)
  55. Gaspard P, Rice S A J. Chem. Phys. 90 2225 (1989)
  56. "Fractals in Physics" Proceedings of Sixth International Symposium, Trieste, 1985 Eds L Pietronero, E Tosatti (Amsterdam: North-Holland, 1986)
  57. Gaspard P, Rice S A J. Chem. Phys. 90 2255 (1989)
  58. Jensen R V Chaos 1 101 (1991)
  59. Gaspard P "Scattering and Resonances: Classical and Quantum Dynamics" Proceedings of International School of Physics ’Enrico Fermi’, Course 119, Varenna, Italy, 1993 (Bologna: Editrice Compositori, 1993) p. 307
  60. Eckhardt B J. Phys. A 20 5971 (1987)
  61. Eckhardt B, Jung C J. Phys. A 19 L829 (1986)
  62. Jung C, Scholz H J J. Phys. A 20 3607 (1987)
  63. Shul’ga N F, Bolotin Yu L, Gonchar V Yu, Truten’ V I Phys. Lett. A 123 357 (1987)
  64. Arnold V I Mathematical Methods In Classical Mechanics (Berlin: Springer, 1982)
  65. Robnik M, Berry M V J. Phys. A 18 1361 (1985)
  66. Akhiezer A I, Shul’ga N F Usp. Fiz. Nauk 151 385 (1987); Akhiezer A I, Shul’ga N F Sov. Phys. Usp. 30 197 (1987)
  67. Beloshitskii V V, Kumakhov M A Fiz. Tverd. Tela (Leningrad) 15 1588 (1973); Beloshitskii V V, Kumakhov M A Sov. Phys. Solid State 15 1061 (1974)
  68. Golovchenko J A Phys. Rev. B 13 4672 (1976)
  69. Shul’ga N F, Truten’ V I, Fomin S P Zh. Tekh. Fiz. 52 2279 (1982); Shul’ga N F, Truten’ V I, Fomin S P Sov. Phys. Tech. Phys. 27 1399 (1982)
  70. Greenenko A A, Shul’ga N F Nucl. Instrum. Methods Phys. Res. Sect. B 90 179 (1994)
  71. Carrigan R A Jr, Dong Chen, Colestock P, et al Nucl. Instrum. Methods Phys. Res. Sect. B 90 128 (1994)
  72. Ellison J A Nucl. Phys. B 206 205 (1982)
  73. Elishev A F, Filatova N A, Golovatyuk V M, et al Phys. Lett. B 88 387 (1979)
  74. Sun C R, Gibson W M, Kim L J, et al Nucl. Instrum. Methods Phys. Res. Sect. B 230 60 (1984)
  75. Andreev V A, Baublis V V, Damaskinskii E A, et al Pis’ma Zh. Eksp. Teor. Fiz. 36 340 (1982); Andreev V A, Baublis V V, Damaskinskii E A, et al Pis’ma Zh. Eksp. Teor. Fiz. 39 58 (1984); Andreev V A, Baublis V V, Damaskinskii E A, et al JETP Lett. 36 415 (1982); Andreev V A, Baublis V V, Damaskinskii E A, et al JETP Lett. 39 67 (1984)
  76. Afonin A G, et al Preprint No. IFBE 87-121 (Protvino, Institute of High-Energy Physics, 1987)
  77. Chesnokov Yu A, Galyaev N A, Kotov V I, et al Nucl. Instrum. Methods Phys. Res. Sect. B 69 247 (1992)
  78. Biryukov V M, Chesnokov Yu A, Galyaev N A, et al Nucl. Instrum. Methods Phys. Res. Sect. B 86 245 (1994)
  79. Bak J F, Melchart G, Uggerhoj E, et al Phys. Lett. B 93 505 (1980)
  80. Moller S P, Uggerhoj E, Atherton H W, et al Phys. Lett. B 256 91 (1991)
  81. Jensen B N, Moller S P, Uggerhoj E, et al Nucl. Instrum. Methods Phys. Res. Sect. B 71 155 (1992)
  82. Forster J S, Hatton H, Tune R J, et al Nucl. Instrum. Methods Phys. Res. Sect. B 318 301 (1989)
  83. Baker S I, Carrigan R A Jr, Crawford C, et al Phys. Lett. B 137 129 (1984)
  84. Gibson W M, Kim I J, Pisharody M, et al Nucl. Instrum. Methods Phys. Res. Sect. B 230 54 (1984)
  85. Baker S I, Carrigan R A Jr, Dixon R L, et al Nucl. Instrum. Methods Phys. Res. Sect. A 248 301 (1986)
  86. Andersen S K, Fich O, Nielsen H, et al Nucl. Phys. B 167 1 (1980)
  87. Chen D, Albuquerque I F, Baublis V V, et al Phys. Rev. Lett. 69 3286 (1992)
  88. Baublis V V, Carrigan R A Jr, Chen D, et al Nucl. Instrum. Methods Phys. Res. Sect. B 90 112 (1994)
  89. Grinenko A A, Shul’ga N F Pis’ma Zh. Eksp. Teor. Fiz. 54 520 (1991); Grinenko A A, Shul’ga N F JETP Lett. 54 524 (1991)
  90. Greenenko A A, Shul’ga N F Nucl. Instrum. Methods Phys. Res. Sect. B 67 212 (1992)
  91. Grinenko A A, Shul’ga N F Tezisy Dokladov 24 Mezhnatsional’nogo Soveshchaniya po Fizike Vzaimodeistviya Zaryazhennykh Chastits s Kristallami, Moscow, 1993 (Moscow: Moscow State University, 1993) p. 21, Abstracts of Papers presented at Twenty-Fourth International meeting on Physics of Interaction of Charged Particles with Crystals, Moscow
  92. Shul’ga N F, Truten’ V I, Nikiforov V I, Kirochkin A Yu Tezisy Dokladov 24 Mezhnatsional’nogo Soveshchaniya po Fizike Vzaimodeistviya Zaryazhennykh Chastits s Kristallami, Moscow, 1993 (1993) p. 57, Abstracts of Papers presented at Twenty-Fourth International meeting on Physics of Interaction of Charged Particles with Crystals, Moscow
  93. Pokhil G P, Tulinov A F Itogi Nauki Tekh. Ser. Puchki Zaryazh. Chastits Tverd. Telo 1 3 (1990)
  94. Shulga N F, Greenenko A A Phys. Lett. B 353 373 (1995)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions