Issues

 / 

2023

 / 

May

  

Reviews of topical problems


Dynamics and radiation of charged particles in ultra-intense laser fields

  a,   b
a Prokhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russian Federation
b National Research Nuclear University ‘MEPhI’, Kashirskoe shosse 31, Moscow, 115409, Russian Federation

The current state of research on high-intensity laser fields and their interaction with charged particles is reviewed. Data on petawatt-class laser facilities are presented, and advanced methods for characterizing ultra-intense laser pulses are discussed. Effects that occur in the interaction of such pulses with matter in the regime dominated by radiation friction are considered. Methods applied to describe nonlinear quantum-electrodynamic processes, including higher-order effects, are described in detail. Some theoretical results and concepts are criticized, including the predicted influence of strong laser fields on decays of nuclei and elementary particles and the concept of Unruh radiation.

Fulltext pdf (1.2 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2023.03.039335
Keywords: ultra-intense laser fields, nonlinear quantum electro„dynamics, electromagnetic wave radiation, quantum processes, radiation friction, decays of nuclei and elementary particles
PACS: 41.75.Jv, 52.38.−r, 52.40.Mj (all)
DOI: 10.3367/UFNe.2023.03.039335
URL: https://ufn.ru/en/articles/2023/5/b/
001112604700002
2-s2.0-85167903099
2023PhyU...66..460P
Citation: Popruzhenko S V, Fedotov A M "Dynamics and radiation of charged particles in ultra-intense laser fields" Phys. Usp. 66 460–493 (2023)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 28th, August 2021, revised: 13th, March 2023, 15th, March 2023

Оригинал: Попруженко С В, Федотов А М «Динамика и излучение заряженных частиц в лазерных полях экстремальной интенсивности» УФН 193 491–527 (2023); DOI: 10.3367/UFNr.2023.03.039335

References (370) ↓ Cited by (3) Similar articles (20)

  1. Mourou G A, Umstadter D Sci. Am. 286 (5) 80 (2002)
  2. Reiss H R J. Math. Phys. 3 59 (1962)
  3. Nikishov A I, Ritus V I Sov. Phys. JETP 19 529 (1964); Nikishov A I, Ritus V I Zh. Eksp. Teor. Fiz. 46 776 (1964)
  4. Nikishov A I, Ritus V I Sov. Phys. JETP 19 1191 (1964); Nikishov A I, Ritus V I Zh. Eksp. Teor. Fiz. 46 1768 (1964)
  5. Keldysh L V Sov. Phys. JETP 20 1307 (1965); Keldysh L V Zh. Eksp. Teor. Fiz. 47 1945 (1964)
  6. Nikishov A I, Ritus V I XII Mezhdunarodnaya Konf. po Fizike Vysokikh Energii, Dubna, 5-15 Avg. 1964 g. (Proc. of 12th Intern. Conf. on High Energy Physics, Dubna August 5-15) Vol. 1 (Eds Ya A Smorodinskii et al.) (Moscow: Atomizdat, 1964) p. 968
  7. Nikishov A I, Ritus V I Sov. Phys. Usp. 13 303 (1970); Nikishov A I, Ritus V I Usp. Fiz. Nauk 100 724 (1970)
  8. Kryukov P G et al J. Russ. Laser Res. 15 351 (1994)
  9. Korzhimanov A V et al Phys. Usp. 54 9 (2011); Korzhimanov A V et al Usp. Fiz. Nauk 181 9 (2011)
  10. Danson C N et al High Power Laser Sci. Eng. 7 e54 (2019)
  11. Mourou G A, Tajima T, Bulanov S V Rev. Mod. Phys. 78 309 (2006)
  12. Di Piazza A et al Rev. Mod. Phys. 84 1177 (2012)
  13. Burton D A, Noble A Contemp. Phys. 55 110 (2014)
  14. Bulanov S V et al Plasma Phys. Rep. 41 1 (2015); Bulanov S V et al Fiz. Plazmy 41 3 (2015)
  15. Bulanov S V et al Eur. Phys. J. D 55 483 (2009)
  16. Macchi A, Borghesi M, Passoni M Rev. Mod. Phys. 85 751 (2013)
  17. Marklund M, Shukla P K Rev. Mod. Phys. 78 591 (2006)
  18. Ehlotzky F, Krajewska K, Kamiński J Z Rep. Prog. Phys. 72 046401 (2009)
  19. Heinzl T Int. J. Mod. Phys. A 27 1260010 (2012)
  20. Narozhny N B, Fedotov A M Contemp. Phys. 56 249 (2015)
  21. Titov A I et al Phys. Part. Nucl. 47 456 (2016); Titov A I et al Fiz. Elem. Chastits Atom. Yadra 47 834 (2016)
  22. Hartin A Int. J. Mod. Phys. A 33 1830011 (2018)
  23. Zhang P et al Phys. Plasmas 27 050601 (2020)
  24. Blackburn T G Rev. Mod. Plasma Phys. 4 5 (2020)
  25. Shi Y, Qin H, Fisch N J Phys. Plasmas 28 042104 (2021)
  26. Bulanov S V Phys. Wave Phenom. 29 1 (2021)
  27. Nedorezov V G, Rykovanov S G, Savel’ev A B Phys. Usp. 64 1214 (2021); Nedorezov V G, Rykovanov S G, Savel’ev A B Usp. Fiz. Nauk 191 1281 (2021)
  28. Gonoskov A et al Rev. Mod. Phys. 94 045001 (2022)
  29. Fedotov A et al Phys. Rep. 1010 1 (2023)
  30. Landau L D, Lifshitz E M The Classical Theory Of Fields 4th ed. (Berlin: Butterworth-Heinemann, 1980); Translated from Russian, Landau L D, Lifshitz E M Teoriya Polya (Moscow: Nauka, 1988)
  31. Ritus V I J. Sov. Laser Res. 6 497 (1985); Translated from Russian, Ritus V I Trudy Fiz. Inst. Akad. Nauk 111 5 (1979); Nikishov A I J. Sov. Laser Res. 6 619 (1985); Translated from Russian, Nikishov A I Trudy Fiz. Inst. Akad. Nauk 111 152 (1979)
  32. Sauter F Z. Phys. 69 742 (1931)
  33. Heisenberg W, Euler H Z. Phys. 98 714 (1936)
  34. Schwinger J Phys. Rev. 82 664 (1951)
  35. Altarelli M et al (Eds) "The European X-ray Free-Electron Laser" Technical Design Report DESY 2006-097 (Hamburg: DESY, 2007)
  36. Bostedt C et al Rev. Mod. Phys. 88 015007 (2016)
  37. Bula C et al Phys. Rev. Lett. 76 3116 (1996)
  38. Bamber C et al Phys. Rev. D 60 092004 (1999)
  39. Cole J M et al Phys. Rev. X 8 011020 (2018)
  40. Poder K et al Phys. Rev. X 8 031004 (2018)
  41. Bulanov S S et al AIP Conf. Proc. 1507 825 (2012)
  42. Bulanov S S et al J. Exp. Theor. Phys. 102 9 (2006); Bulanov S S et al Zh. Eksp. Teor. Fiz. 129 14 (2006)
  43. Bulanov S S et al Phys. Rev. Lett. 104 220404 (2010)
  44. Khazanov E A, Mironov S Yu, Mourou G Phys. Usp. 62 1096 (2019); Khazanov E A, Mironov S Yu, Mourou G Usp. Fiz. Nauk 189 1173 (2019)
  45. Strickland D, Mourou G Opt. Commun. 55 447 (1985)
  46. Dubietis A, Jonušauskas G, Piskarskas A Opt. Commun. 88 437 (1992)
  47. Perry M D et al Opt. Lett. 24 160 (1999)
  48. Yanovsky V et al Opt. Express 16 2109 (2008)
  49. Yoon J W et al Optica 8 630 (2021)
  50. Chambaret J-P et al Proc. SPIE 7721 77211D (2010)
  51. Weber S et al Matter Radiat. Extrem. 2 149 (2017)
  52. Papadopoulos D N et al High Power Laser Sci. Eng. 4 E34 (2016)
  53. Guo Z et al Opt. Express 26 26776 (2018)
  54. Gan Z et al Opt. Express 25 5169 (2017)
  55. Li W et al Opt. Lett. 43 5681 (2018)
  56. Leng Y X Chin. J. Lasers 46 5 (2019)
  57. Sung J H et al Opt. Lett. 42 2058 (2017)
  58. Bashinov A V et al Eur. Phys. J. Spec. Top. 223 1105 (2014)
  59. Shaykin A et al Rev. Laser Eng. 42 141 (2014)
  60. Cartlidge E Science 359 382 (2018)
  61. Bahk S-W et al Opt. Lett. 29 2837 (2004)
  62. Kiriyama H et al Opt. Lett. 43 2595 (2018)
  63. Bromage J et al High Power Laser Sci. Eng. 7 E4 (2019)
  64. Har-Shemesh O, Di Piazza A Opt. Lett. 37 1352 (2012)
  65. He C Z et al Opt. Express 27 30020 (2019)
  66. Blackburn T G et al Phys. Rev. Accel. Beams 23 064001 (2020)
  67. Mackenroth F, Holkundkar A R, Schlenvoigt H-P New J. Phys. 21 123028 (2019)
  68. Vais O E et al New J. Phys. 22 023003 (2020)
  69. Chowdhury E A, Barty C P J, Walker B C Phys. Rev. A 63 042712 (2001)
  70. Yamakawa K et al Phys. Rev. A 68 065403 (2003)
  71. Link A et al Rev. Sci. Instrum. 77 10E723 (2006)
  72. Ciappina M F et al Phys. Rev. A 99 043405 (2019)
  73. Ciappina M F, Popruzhenko S V Laser Phys. Lett. 17 025301 (2020)
  74. Ciappina M F, Peganov E E, Popruzhenko S V Matter Radiat. Extrem. 5 044401 (2020)
  75. Sarachik E S, Schappert G T Phys. Rev. D 1 2738 (1970)
  76. Berestetskii V B, Lifshitz E M, Pitaevskii L P Quantum Electrodynamics (Berlin: Butterworth-Heinemann, 1982); Translated from Russian, Berestetskii V B, Lifshitz E M, Pitaevskii L P Kvantovaya Elektrodinamika (Moscow: Nauka, 1989)
  77. Kibble T W B Phys. Rev. 150 1060 (1966)
  78. Vais O E, Bychenkov V Yu Appl. Phys. B 124 211 (2018)
  79. Yandow A, Toncian T, Ditmire T Phys. Rev. A 100 053406 (2019)
  80. Popov V S Phys. Usp. 47 855 (2004); Popov V S Usp. Fiz. Nauk 174 921 (2004)
  81. Popruzhenko S V J. Phys. B 47 204001 (2014)
  82. Karnakov B M, Mur V D, Popruzhenko S V, Popov V S Phys. Usp. 58 3 (2015); Karnakov B M, Mur V D, Popruzhenko S V, Popov V S Usp. Fiz. Nauk 185 3 (2015)
  83. Popruzhenko S V JETP Lett. 117 281 (2023); Popruzhenko S V Pis’ma Zh. Eksp. Teor. Fiz. 117 279 (2023)
  84. Perelomov A M, Popov V S, Terent’ev M V Sov. Phys. JETP 23 924 (1966); Perelomov A M, Popov V S, Terent’ev M V Zh. Eksp. Teor. Fiz. 50 1393 (1966)
  85. Perelomov A M, Popov V S Sov. Phys. JETP 25 336 (1967); Perelomov A M, Popov V S Zh. Eksp. Teor. Fiz. 52 514 (1967)
  86. Bagayev S N et al Opt. Lett. 39 1517 (2014)
  87. Sampat S et al Appl. Opt. 57 9571 (2018)
  88. Cerchez M et al High Power Laser Sci. Eng. 7 E37 (2019)
  89. Ginzburg V N et al Quantum Electron. 50 331 (2020); Ginzburg V N et al Kvantovaya Elektron. 50 331 (2020)
  90. Mourou G et al Eur. Phys. J. Spec. Top. 223 1181 (2014)
  91. Ginzburg V et al Opt. Express 29 28297 (2021)
  92. Giordmaine J, Duguay M, Hansen J IEEE J. Quantum Electron. 4 252 (1968)
  93. Fisher R A, Kelley P L, Gustafson T K Appl. Phys. Lett. 14 140 (1969)
  94. Yumoto H et al Nat. Photon. 7 43 (2013)
  95. Bulanov S V, Esirkepov T, Tajima T Phys. Rev. Lett. 91 085001 (2003)
  96. Bulanov S V et al Phys. Usp. 56 429 (2013); Bulanov S V et al Usp. Fiz. Nauk 183 449 (2013)
  97. Kando M et al Phys. Rev. Lett. 99 135001 (2007)
  98. Kando M et al Phys. Rev. Lett. 103 235003 (2009)
  99. Gordienko S et al Phys. Rev. Lett. 94 103903 (2005)
  100. Abraham M "Prinzipien der Dynamik des Elektrons" Ann. Physik 10 105 (1903)
  101. Dirac P A M Proc. R. Soc. Lond. A 167 148 (1938)
  102. Jackson J D Classical Electrodynamics 3rd ed. (New York: Wiley, 1999); Translated into Russian, Jackson J D Klassicheskaya Elektrodinamika (Moscow: Mir, 1965)
  103. Ginzburg V L Applications Of Electrodynamics In Theoretical Physics And Astrophysics 2nd rev. English ed. (New York: Gordon and Breach Science Publishers, 1989); Translated from Russian, Ginzburg V L Teoreticheskaya Fizika I Astrofizika. Dopolnitel’nye Glavy (Theoretical Physics And Astrophysics. Additional Chapters) 3rd ed., rev., exp. (Moscow: Ripol Klassik, 1987)
  104. Zel’dovich Ya B Sov. Phys. Usp. 18 79 (1975); Zel’dovich Ya B Usp. Fiz. Nauk 115 161 (1975)
  105. Baier V N, Katkov V M, Strakhovenko V M Electromagnetic Processes At High Energies In Oriented Crystals (Singapore: World Scientific, 1998)
  106. Kirk J G, Bell A R, Arka I Plasma Phys. Control. Fusion 51 085008 (2009)
  107. Sokolov A A, Klepikov N P, Ternov I M Zh. Eksp. Teor. Fiz. 24 249 (1953)
  108. Schwinger J Proc. Natl. Acad. Sci. USA 40 132 (1954)
  109. Niel F et al Phys. Rev. E 97 043209 (2018)
  110. Di Piazza A Lett. Math. Phys. 83 305 (2008)
  111. Tamburini M et al New J. Phys. 12 123005 (2010)
  112. Tamburini M et al Nucl. Instrum. Meth. Phys. Res. A 653 181 (2011)
  113. Tamburini M et al Phys. Rev. E 85 016407 (2012)
  114. Capdessus R, McKenna P Phys. Rev. E 91 053105 (2015)
  115. Vshivkov V A et al Phys. Plasmas 5 2727 (1998)
  116. Gelfer E G et al Phys. Rev. E 101 033204 (2020)
  117. Gelfer E, Elkina N, Fedotov A Sci. Rep. 8 6478 (2018)
  118. Gelfer E G, Fedotov A M, Weber S Plasma Phys. Control. Fusion 60 064005 (2018)
  119. Chen M et al Plasma Phys. Control. Fusion 53 014004 (2011)
  120. Gelfer E, Fedotov A, Weber S New J. Phys. 23 095002 (2021)
  121. Nakamura T et al Phys. Rev. Lett. 108 195001 (2012)
  122. Liseykina T V, Popruzhenko S V, Macchi A New J. Phys. 18 072001 (2016)
  123. Akhiezer A I, Polovin R V Sov. Phys. JETP 3 696 (1956); Akhiezer A I, Polovin R V Zh. Eksp. Teor. Fiz. 30 915 (1956)
  124. Liseykina T V, Macchi A, Popruzhenko S V Eur. Phys. J. Plus 136 170 (2021)
  125. Bashinov A V, Kim A V Phys. Plasmas 20 113111 (2013)
  126. Pitaevskii L P Sov. Phys. JETP 12 1008 (1961); Pitaevskii L P Zh. Eksp. Teor. Fiz. 39 1450 (1960)
  127. Pershan P S Phys. Rev. 130 919 (1963)
  128. van der Ziel J P, Pershan P S, Malmstrom L D Phys. Rev. Lett. 15 190 (1965)
  129. Capdessus R et al Phys. Plasmas 21 123120 (2014)
  130. Macchi A et al Phys. Rev. Lett. 94 165003 (2005)
  131. Schlegel T, Tikhonchuk V T New J. Phys. 14 073034 (2012)
  132. Popruzhenko S V, Liseykina T V, Macchi A New J. Phys. 21 033009 (2019)
  133. Oleinik V P Sov. Phys. JETP 26 1132 (1968); Oleinik V P Zh. Eksp. Teor. Fiz. 53 1997 (1968)
  134. Brown L S, Kibble T W B Phys. Rev. 133 A705 (1964)
  135. Gol’dman I I Sov. Phys. JETP 19 954 (1964); Gol’dman I I Zh. Eksp. Teor. Fiz. 46 1412 (1964)
  136. Narozhnyi N B, Nikishov A I, Ritus V I Sov. Phys. JETP 20 622 (1965); Narozhnyi N B, Nikishov A I, Ritus V I Zh. Eksp. Teor. Fiz. 47 930 (1965)
  137. Peskin M E, Schroeder D V An Introduction To Quantum Field Theory (Boca Raton, FL: CRC Press, 2018)
  138. Tiesinga E et al Rev. Mod. Phys. 93 025010 (2021)
  139. Kibble T W B Phys. Rev. 138 B740 (1965)
  140. Frantz L M Phys. Rev. 139 B1326 (1965)
  141. Glauber R J Phys. Rev. 131 2766 (1963)
  142. Bialynicki-Birula I, Bialynicka-Birula Z Phys. Rev. A 8 3146 (1973)
  143. Furry W H Phys. Rev. 81 115 (1951)
  144. Reiss H R Laser Phys. 15 1486 (2005)
  145. Bagrov V G, Gitman D M Exact Solutions Of Relativistic Wave Equations (Mathematics and its Applications, Soviet Ser.) Vol. 39 (Dordrecht: Kluwer Acad. Publ., 1990)
  146. Wolkow D M Z. Phys. 94 250 (1935)
  147. Taub A H Rev. Mod. Phys. 21 388 (1949)
  148. Ritus V I Ann. Physics 69 555 (1972)
  149. Bargmann V, Michel L, Telegdi V L Phys. Rev. Lett. 2 435 (1959)
  150. Kibble T W B Phys. Rev. Lett. 16 1054 (1966)
  151. Bauer D, Mulser P, Steeb W-H Phys. Rev. Lett. 75 4622 (1995)
  152. Lau Y Y et al Phys. Plasmas 10 2155 (2003)
  153. Eberly J H Progress In Optics Vol. 7 (Ed. E Wolf) (Amsterdam: Elsevier, 1969) p. 359
  154. Harvey C et al Phys. Rev. Lett. 109 100402 (2012)
  155. Vallée O, Soares M Airy Functions And Applications To Physics (Singapore: World Scientific, 2004)
  156. Nikishov A I, Ritus V I Sov. Phys. JETP 25 1135 (1967); Nikishov A I, Ritus V I Zh. Eksp. Teor. Fiz. 52 1707 (1967)
  157. Harvey C N, Ilderton A, King B Phys. Rev. A 91 013822 (2015)
  158. Di Piazza A et al Phys. Rev. A 98 012134 (2018)
  159. Ilderton A, King B, Seipt D Phys. Rev. A 99 042121 (2019)
  160. Harvey C, Heinzl T, Ilderton A Phys. Rev. A 79 063407 (2009)
  161. Tamburini M, Meuren S Phys. Rev. D 104 L091903 (2021); Tamburini M, Meuren S arXiv:1912.07508
  162. Dinu V, Heinzl T, Ilderton A Phys. Rev. D 86 085037 (2012)
  163. Boca M, Florescu V Phys. Rev. A 80 053403 (2009)
  164. Mackenroth F, Di Piazza A Phys. Rev. A 83 032106 (2011)
  165. Heinzl T, Seipt D, Kämpfer B Phys. Rev. A 81 022125 (2010)
  166. Seipt D, Kämpfer B Phys. Rev. A 83 022101 (2011)
  167. Krajewska K, Kamiński J Z Phys. Rev. A 85 062102 (2012)
  168. Seipt D, Kämpfer B Phys. Rev. A 88 012127 (2013)
  169. Ivanov D Y, Kotkin G L, Serbo V G Eur. Phys. J. C 36 127 (2004)
  170. Krajewska K, Kamiński J Z Laser Part. Beams 31 503 (2013)
  171. Seipt D, King B Phys. Rev. A 102 052805 (2020)
  172. Baier V N, Katkov V M Sov. Phys. JETP 26 854 (1968); Baier V N, Katkov V M Zh. Eksp. Teor. Fiz. 53 1478 (1968)
  173. Bordovitsyn V A, Ternov I M, Bagrov V G Phys. Usp. 38 1037 (1995); Bordovitsyn V A, Ternov I M, Bagrov V G Usp. Fiz. Nauk 165 1083 (1995)
  174. Heinzl T, Ilderton A, King B Phys. Rev. Lett. 127 061601 (2021)
  175. Di Piazza A, Audagnotto G Phys. Rev. D 104 016007 (2021)
  176. Di Piazza A Phys. Rev. Lett. 117 213201 (2016)
  177. Di Piazza A Phys. Rev. A 95 032121 (2017)
  178. Di Piazza A Phys. Rev. D 103 076011 (2021)
  179. Abramowicz H et al Eur. Phys. J. Spec. Top. 230 2445 (2021)
  180. Meuren S et al "Probing Strong-field QED at FACET-II, experimental proposal approved as E-320" (2018), unpublished
  181. Krajewska K, Kamiński J Z Phys. Rev. A 86 052104 (2012)
  182. Titov A I et al Phys. Rev. Lett. 108 240406 (2012)
  183. Titov A I et al Phys. Rev. A 87 042106 (2013)
  184. Jansen M J A, Müller C Phys. Rev. D 93 053011 (2016)
  185. Meuren S, Keitel C H, Di Piazza A Phys. Rev. D 93 085028 (2016)
  186. Burke D L et al Phys. Rev. Lett. 79 1626 (1997)
  187. Eberly J H, Reiss H R Phys. Rev. 145 1035 (1966)
  188. Mackenroth F et al Phys. Rev. E 99 033205 (2019)
  189. Bassompierre G et al Phys. Lett. B 355 584 (1995)
  190. Akhmedov E Kh Phys. Atom. Nucl. 74 1299 (2011); Akhmedov E Kh Yad. Fiz. 74 1326 (2011)
  191. Fedotov A M, Mironov A A Radiophys. Quantum Electron. 61 930 (2019); Fedotov A M, Mironov A A Izv. Vyssh. Uchebn. Zaved. Radiofiz. 61 1147 (2018)
  192. Khokonov M Kh, Bekulova I Z Tech. Phys. 55 728 (2010); Khokonov M Kh, Bekulova I Z Zh. Tekh. Fiz. 80 (5) 136 (2010)
  193. Seipt D et al Phys. Rev. Lett. 118 154803 (2017)
  194. King B Phys. Rev. A 101 042508 (2020)
  195. Lv Q Z et al New J. Phys. 23 065005 (2021)
  196. King B Phys. Rev. D 103 036018 (2021)
  197. Heinzl T, King B, MacLeod A J Phys. Rev. A 102 063110 (2020)
  198. Gelfer E G et al Phys. Rev. D 106 056013 (2022)
  199. Fedotov A J. Phys. Conf. Ser. 826 012027 (2017)
  200. Ritus V I JETP Lett. 12 289 (1970); Ritus V I Pis’ma Zh. Eksp. Teor. Fiz. 12 416 (1970)
  201. Mitter H Electromagnetic Interactions and Field Theory. Proc. of the XIV Intern. Universitätswochen für Kernphysik 1975 der Karl-Franzens-Universität Graz at Schladming, Steiermark, Austria, 24th February - 7th March, 1975 (Acta Physica Austriaca. Supplementum) Vol. 14 (Ed. P Urban) (Wien: Springer-Verlag, 1975) p. 397-468
  202. Baier V N, Katkov V I, Strakhovenko V M Sov. J. Nucl. Phys. 14 572 (1972); Baier V N, Katkov V I, Strakhovenko V M Yad. Fiz. 14 1020 (1971)
  203. Ritus V I Nucl. Phys. B 44 236 (1972)
  204. Hu H, Müller C, Keitel C H Phys. Rev. Lett. 105 080401 (2010)
  205. Ilderton A Phys. Rev. Lett. 106 020404 (2011)
  206. King B, Ruhl H Phys. Rev. D 88 013005 (2013)
  207. Krajewska K, Kaminski J Z J. Phys. Conf. Ser. 594 012024 (2015)
  208. Dinu V, Torgrimsson G Phys. Rev. D 97 036021 (2018)
  209. King B, Fedotov A M Phys. Rev. D 98 016005 (2018)
  210. Mackenroth F, Di Piazza A Phys. Rev. D 98 116002 (2018)
  211. Acosta U H, Kämpfer B Plasma Phys. Control. Fusion 61 084011 (2019)
  212. Dinu V, Torgrimsson G Phys. Rev. D 101 056017 (2020)
  213. Morozov D A, Ritus V I Nucl. Phys. B 86 309 (1975)
  214. Lötstedt E, Jentschura U D Phys. Rev. Lett. 103 110404 (2009)
  215. Lötstedt E, Jentschura U D Phys. Rev. A 80 053419 (2009)
  216. Seipt D, Kämpfer B Phys. Rev. D 85 101701 (2012)
  217. Mackenroth F, Di Piazza A Phys. Rev. Lett. 110 070402 (2013)
  218. King B Phys. Rev. A 91 033415 (2015)
  219. Dinu V, Torgrimsson G Phys. Rev. D 99 096018 (2019)
  220. Bogoliubov N N, Shirkov D V Introduction To The Theory Of Quantized Fields 2nd American ed. (New York: John Wiley, 1980); Translated from Russian: Vvedenie V Teoriyu Kvantovannykh Polei 4th ed., rev. (Moscow: Nauka, 1984)
  221. Dinu V, Torgrimsson G Phys. Rev. D 102 016018 (2020)
  222. Chen P et al Nucl. Instrum. Meth. Phys. Res. A 355 107 (1995)
  223. Rimbault C et al 2007 IEEE Particle Accelerator Conf., Proc. (Piscataway, NJ: IEEE, 2007) p. 2728
  224. Elkina N V et al Phys. Rev. Accel. Beams 14 054401 (2011)
  225. Duclous R, Kirk J G, Bell A R Plasma Phys. Control. Fusion 53 015009 (2010)
  226. Ridgers C P et al J. Comput. Phys. 260 273 (2014)
  227. Arber T D et al Plasma Phys. Control. Fusion 57 113001 (2015)
  228. Gonoskov A et al Phys. Rev. E 92 023305 (2015)
  229. Grismayer T et al Phys. Rev. E 95 023210 (2017)
  230. Arefiev A V et al Phys. Plasmas 22 013103 (2015)
  231. Di Piazza A, Hatsagortsyan K Z, Keitel C H Phys. Rev. Lett. 105 220403 (2010)
  232. Shen C S, White D Phys. Rev. Lett. 28 455 (1972)
  233. Blackburn T G et al Phys. Rev. Lett. 112 015001 (2014)
  234. Sokolov I V et al Phys. Rev. Lett. 105 195005 (2010)
  235. Bulanov S S et al Phys. Rev. A 87 062110 (2013)
  236. Mironov A A, Narozhny N B, Fedotov A M Phys. Lett. A 378 3254 (2014)
  237. Mironov A A, Gelfer E G, Fedotov A M Phys. Rev. A 104 012221 (2021)
  238. Dobrotin N A et al Usp. Fiz. Nauk 49 185 (1953)
  239. Bell A R, Kirk J G Phys. Rev. Lett. 101 200403 (2008)
  240. Fedotov A M et al Phys. Rev. Lett. 105 080402 (2010)
  241. Nerush E N et al Phys. Rev. Lett. 106 035001 (2011)
  242. Raether H Electron Avalanches And Breakdown In Gases (Washington, DC: Butterworths, 1964)
  243. Vranic M et al Comput. Phys. Commun. 191 65 (2015)
  244. Nerush E N, Bashmakov V F, Kostyukov I Yu Phys. Plasmas 18 083107 (2011)
  245. King B, Elkina N, Ruhl H Phys. Rev. A 87 042117 (2013)
  246. Seipt D et al New J. Phys. 23 053025 (2021)
  247. Artemenko I I et al Plasma Phys. Control. Fusion 61 074003 (2019)
  248. Bashmakov V F et al Phys. Plasmas 21 013105 (2014)
  249. Jirka M et al Phys. Rev. E 93 023207 (2016)
  250. Slade-Lowther C, Del Sorbo D, Ridgers C P New J. Phys. 21 013028 (2019)
  251. Brady C S et al Phys. Plasmas 21 033108 (2014)
  252. Jirka M et al Sci. Rep. 7 15302 (2017)
  253. Fedotov A, Narozhny N, Mironov A J. Phys. Conf. Ser. 691 012023 (2016)
  254. Grismayer T et al Phys. Plasmas 23 056706 (2016)
  255. Narozhny N B et al Phys. Lett. A 330 1 (2004)
  256. Fedotov A M Laser Phys. 19 214 (2009)
  257. Tang S, Ilderton A, King B Phys. Rev. A 100 062119 (2019)
  258. Bragin S, Di Piazza A Phys. Rev. D 102 116012 (2020)
  259. Tamburini M, Di Piazza A, Keitel C H Sci. Rep. 7 5694 (2017)
  260. Artemenko I I, Kostyukov I Yu Phys. Rev. A 96 032106 (2017)
  261. Ridgers C P et al Phys. Rev. Lett. 108 165006 (2012)
  262. Kirk J G, Bell A R, Ridgers C P Plasma Phys. Control. Fusion 55 095016 (2013)
  263. Zhu X L et al Nat. Commun. 7 13686 (2016)
  264. Samsonov A S, Nerush E N, Kostyukov I Yu Sci. Rep. 9 11133 (2019)
  265. Samsonov A S, Kostyukov I Y, Nerush E N Matter Radiat. Extremes 6 034401 (2021)
  266. Ridgers C P et al Phys. Plasmas 20 056701 (2013)
  267. Nerush E N et al Phys. Plasmas 21 013109 (2014)
  268. Ji L L et al Phys. Plasmas 21 023109 (2014)
  269. Gu Y-J et al Commun. Phys. 1 93 (2018)
  270. Wan F et al Phys. Lett. B 800 135120 (2020)
  271. Vranic M et al Sci. Rep. 8 4702 (2018)
  272. Gelfer E G et al Phys. Rev. A 92 022113 (2015)
  273. Gonoskov A et al Phys. Rev. X 7 041003 (2017)
  274. Magnusson J et al Phys. Rev. A 100 063404 (2019)
  275. Ritus V I Sov. Phys. JETP 30 1181 (1970); Ritus V I Zh. Eksp. Teor. Fiz. 57 2176 (1970)
  276. Baier V N et al Sov. Phys. JETP 42 400 (1975); Baier V N et al Zh. Eksp. Teor. Fiz. 69 783 (1975)
  277. Meuren S, Di Piazza A Phys. Rev. Lett. 107 260401 (2011)
  278. Narozhnyi N B Sov. Phys. JETP 28 371 (1969); Narozhnyi N B Zh. Eksp. Teor. Fiz. 55 714 (1969)
  279. Batalin I A, Shabad A E Sov. Phys. JETP 33 483 (1971); Batalin I A, Shabad A E Zh. Eksp. Teor. Fiz. 60 894 (1971)
  280. Baier V N, Katkov V M, Strakhovenko V M Sov. Phys. JETP 41 198 (1975); Baier V N, Katkov V M, Strakhovenko V M Zh. Eksp. Teor. Fiz. 68 405 (1975)
  281. Meuren S, Keitel C H, Di Piazza A Phys. Rev. D 88 013007 (2013)
  282. Morozov D A, Narozhnyi N B, Ritus V I Sov. Phys. JETP 53 1103 (1981); Morozov D A, Narozhnyi N B, Ritus V I Zh. Eksp. Teor. Fiz. 80 2113 (1981)
  283. Di Piazza A, Lopez-Lopez M A Phys. Rev. D 102 076018 (2020)
  284. Adler S L et al Phys. Rev. Lett. 25 1061 (1970)
  285. Bialynicka-Birula Z, Bialynicki-Birula I Phys. Rev. D 2 2341 (1970)
  286. Adler S L Ann. Physics 67 599 (1971)
  287. Papanyan V O, Ritus V I Sov. Phys. JETP 34 1195 (1972); Papanyan V O, Ritus V I Zh. Eksp. Teor. Fiz. 61 2231 (1972)
  288. Papanyan V O, Ritus V I Sov. Phys. JETP 38 879 (1974); Papanyan V O, Ritus V I Zh. Eksp. Teor. Fiz. 65 1756 (1974)
  289. Baier V N, Mil’shtein A I, Shaisultanov R Zh Sov. Phys. JETP 63 665 (1986); Baier V N, Mil’shtein A I, Shaisultanov R Zh Zh. Eksp. Teor. Fiz. 90 1141 (1986)
  290. Gies H, Karbstein F, Kohlfürst C Phys. Rev. D 97 036022 (2018)
  291. Karbstein F Phys. Rev. D 88 085033 (2013)
  292. Karbstein F J. High Energy Phys. 2021 1 (2021)
  293. Goldstein D H Polarized Light (Boca Raton, FL: CRC Press, 2017)
  294. Mironov A A, Meuren S, Fedotov A M Phys. Rev. D 102 053005 (2020)
  295. Baier R, Breitenlohner P Nuovo Cimento B 47 117 (1967)
  296. Kotkin G L, Serbo V G Phys. Lett. B 413 122 (1997)
  297. Landau L D, Lifshitz E M, Pitaevskii L P Electrodynamics Of Continuous Media 2nd ed. (Amsterdam: Elsevier, 2013); Translated from Russian, Landau L D, Lifshitz E M, Pitaevskii L P Elektrodinamika Sploshnykh Sred (Moscow: Nauka, 1982)
  298. Boyd R W Nonlinear Optics (San Diego, CA: Academic Press, 2020)
  299. Zavattini G et al Int. J. Mod. Phys. A 27 1260017 (2012)
  300. Heinzl T et al Opt. Commun. 267 318 (2006)
  301. Karbstein F et al Phys. Rev. D 92 071301 (2015)
  302. Shen B et al Plasma Phys. Control. Fusion 60 044002 (2018)
  303. Marx B et al Phys. Rev. Lett. 110 254801 (2013)
  304. Schmitt A T et al Optica 8 56 (2021)
  305. Bernhardt H et al Phys. Rev. Res. 2 023365 (2020)
  306. Becker W Physica A 87 601 (1977)
  307. Dremin I M JETP Lett. 76 151 (2002); Dremin I M Pis’ma Zh. Eksp. Teor. Fiz. 76 185 (2002)
  308. Macleod A J, Noble A, Jaroszynski D A Phys. Rev. Lett. 122 161601 (2019)
  309. Schwinger J, Tsai W Y, Erber T Ann. Physics 281 1019 (2000)
  310. Bulanov S V et al Phys. Rev. D 100 016012 (2019)
  311. Artemenko I I, Nerush E N, Kostyukov I Yu New J. Phys. 22 093072 (2020)
  312. Soljačić M, Segev M Phys. Rev. A 62 043817 (2000)
  313. Rozanov N N Sov. Phys. JETP 86 284 (1988); Rozanov N N Zh. Eksp. Teor. Fiz. 113 513 (1998)
  314. Sauerbrey R, Kohlfürst C arXiv:2105.08006
  315. Morozov D A, Narozhnyi N B Sov. Phys. JETP 45 23 (1977); Morozov D A, Narozhnyi N B Zh. Eksp. Teor. Fiz. 72 44 (1977)
  316. Narozhny N B Phys. Rev. D 20 1313 (1979)
  317. Narozhny N B Phys. Rev. D 21 1176 (1980)
  318. Podszus T, Di Piazza A Phys. Rev. D 99 076004 (2019)
  319. Ilderton A Phys. Rev. D 99 085002 (2019)
  320. Blackburn T G et al New J. Phys. 21 053040 (2019)
  321. Yakimenko V et al Phys. Rev. Lett. 122 190404 (2019)
  322. Di Piazza A et al Phys. Rev. Lett. 124 044801 (2020)
  323. Baumann C et al Sci. Rep. 9 9407 (2019)
  324. Baumann C, Pukhov A Plasma Phys. Control. Fusion 61 074010 (2019)
  325. Blatt J M, Weisskopf V F Theoretical Nuclear Physics (New York: Dover Publ., 1991)
  326. Pfützner M et al Rev. Mod. Phys. 84 567 (2012)
  327. Qi C, Liotta R, Wyss R Prog. Part. Nucl. Phys. 105 214 (2019)
  328. Ritus V I Sov. Phys. JETP 29 532 (1969); Ritus V I Zh. Eksp. Teor. Fiz. 56 986 (1969)
  329. Akhmedov E Kh Sov. Phys. JETP 58 883 (1983); Akhmedov E Kh Zh. Eksp. Teor. Fiz. 85 1521 (1983)
  330. Nikishov A I, Ritus V I Sov. Phys. JETP 58 14 (1983); Nikishov A I, Ritus V I Zh. Eksp. Teor. Fiz. 85 24 (1983)
  331. Pálffy A, Popruzhenko S V Phys. Rev. Lett. 124 212505 (2020)
  332. Becker W et al Phys. Lett. A 94 131 (1983)
  333. Narozhny N B, Fedotov A M Phys. Rev. Lett. 100 219101 (2008)
  334. Wistisen T N, Keitel C H, Di Piazza A New J. Phys. 23 065007 (2021)
  335. Gamow G Z. Phys. 51 204 (1928)
  336. Fermi E Nuclear Physics (Chicago, IL: Univ. of Chicago Press, 1950)
  337. Cortés H M C et al New J. Phys. 13 063007 (2011)
  338. Becker W et al Phys. Rev. Lett. 47 1262 (1981)
  339. Reiss H R Phys. Rev. C 27 1199 (1983)
  340. Reiss H R Phys. Rev. C 27 1229 (1983)
  341. Liu A H, Li S M, Berakdar J Phys. Rev. Lett. 98 251803 (2007)
  342. Delion D S, Ghinescu S A Phys. Rev. Lett. 119 202501 (2017)
  343. Queisser F, Schützhold R Phys. Rev. C 100 041601 (2019)
  344. Darbinyan S M et al JETP Lett. 51 110 (1990); Darbinyan S M et al Pis’ma Zh. Eksp. Teor. Fiz. 51 97 (1990)
  345. Chen P, Tajima T Phys. Rev. Lett. 83 256 (1999)
  346. Schützhold R, Schaller G, Habs D Phys. Rev. Lett. 97 121302 (2006)
  347. Brodin G et al Class. Quantum Grav. 25 145005 (2008)
  348. Thirolf P G et al Eur. Phys. J. D 55 379 (2009)
  349. Unruh W G Phys. Rev. D 14 870 (1976)
  350. Fulling S A Phys. Rev. D 7 2850 (1973)
  351. Hawking S W Commun. Math. Phys. 43 199 (1975)
  352. Nikishov A I, Ritus V I Sov. Phys. JETP 67 1313 (1988); Nikishov A I, Ritus V I Zh. Eksp. Teor. Fiz. 94 31 (1988)
  353. Silaev P K, Khrustalev O A Theor. Math. Phys. 91 481 (1992); Silaev P K, Khrustalev O A Teor. Mat. Fiz. 91 217 (1992)
  354. Belinskii V A et al JETP Lett. 65 902 (1997); Belinskii V A et al Pis’ma Zh. Eksp. Teor. Fiz. 65 861 (1997)
  355. Fedotov A M et al Phys. Lett. A 254 126 (1999)
  356. Narozhny N B et al Phys. Rev. D 65 025004 (2001)
  357. Gelfer E G et al Theor. Math. Phys. 182 356 (2015); Gelfer E G et al Teor. Matem. Fiz. 182 405 (2015)
  358. Grib A A JETP Lett. 67 95 (1998); Grib A A Pis’ma Zh. Eksp. Teor. Fiz. 67 86 (1998)
  359. Belinskii V A et al JETP Lett. 67 96 (1998); Belinskii V A et al Pis’ma Zh. Eksp. Teor. Fiz. 67 87 (1998)
  360. Fulling S A, Unruh W G Phys. Rev. D 70 048701 (2004)
  361. Narozhny N B et al Phys. Rev. D 70 048702 (2004)
  362. Crispino L C B, Higuchi A, Matsas G E A Rev. Mod. Phys. 80 787 (2008)
  363. Arageorgis A, Earman J, Ruetsche L Philos. Sci. 70 164 (2003)
  364. Earman J Stud. Hist. Philos. Sci. B 42 81 (2011)
  365. Peña I, Sudarsky D Found. Phys. 44 689 (2014)
  366. Higuchi A, Matsas G E A, Sudarsky D Phys. Rev. D 45 R3308 (1992)
  367. Vanzella D A T, Matsas G E A Phys. Rev. Lett. 87 151301 (2001)
  368. Zeldovich I B, Rozhanskii L V, Starobinskii A A JETP Lett. 43 523 (1986); Zeldovich I B, Rozhanskii L V, Starobinskii A A Pis’ma Zh. Eksp. Teor. Fiz. 43 407 (1986)
  369. Unruh W G, Wald R M Phys. Rev. D 29 1047 (1984)
  370. Birrell N D, Davies P C W Quantum Fields In Curved Space (Cambridge: Cambridge Univ. Press, 1982); Translated into Russian, Birrell N D, Davies P C W Kvantovannye Polya V Iskrivlennom Prostranstve-Vremeni (Moscow: Mir, 1984)

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