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Relativistic-nonlinear resonant absorption and generation of harmonics of electromagnetic radiation in an inhomogeneous plasma

†  a, b, ‡  b, c, §  a, b
a Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
b Dukhov Research Institute of Automatics, ul. Sushchevskaya 22, Moscow, 119017, Russian Federation
c M.V. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russian Federation

Since the pioneering work of V L Ginzburg and N G Denisov, who discovered the effect of linear absorption of electromagnetic radiation in an inhomogeneous plasma due to strong plasma resonance at near-critical density, the theory of this phenomenon has not been developed steadily in application to strong electromagnetic fields of practical interest today, primarily laser ones. This review is devoted to a systematic presentation of the results of an analytic relativistic-nonlinear theory of resonant absorption and generation of laser radiation harmonics in an inhomogeneous plasma with a strongly manifested plasma electron nonlinearity up to laser light intensities that make the motion of electrons in the vicinity of the critical density relativistic. Using the methods of the modern theory of transformation groups, we describe the structure of the nonlinear electromagnetic field in a plasma resonance, nonlinear effects of the suppression of the resonant absorption coefficient and the angle shift of the resonance absorption curve with increasing laser intensity, the formation of sufficiently smooth spectra of laser light harmonics, decreasing in accordance with a power law, the spectrum of laser light harmonics emitted by plasma near the breaking threshold of a nonlinear plasma field, and the basic properties of the electrostatic field generated in the vicinity of the critical density.

Fulltext pdf (1.6 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2023.06.039410
Keywords: laser plasma, resonant absorption, harmonic generation, nonlinear plasma oscillations, relativistic effects, plasma hydro„dynamics, renormalization group symmetries
PACS: 42.65.Ky, 52.25.Os, 52.30.−q, 52.35.−g, 52.35.Fp, 52.35.Hr, 52.38.−r, 52.40.Db, 52.50.Jm, 52.57.−z (all)
DOI: 10.3367/UFNe.2023.06.039410
URL: https://ufn.ru/en/articles/2024/5/a/
001318665600001
2-s2.0-85197633675
2024PhyU...67..429M
Citation: Metelskii I I, Kovalev V F, Bychenkov V Yu "Relativistic-nonlinear resonant absorption and generation of harmonics of electromagnetic radiation in an inhomogeneous plasma" Phys. Usp. 67 429–463 (2024)
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Received: 3rd, May 2023, revised: 14th, June 2023, 18th, June 2023

Оригинал: Метельский И И, Ковалев В Ф, Быченков В Ю «Релятивистски-нелинейное резонансное поглощение и генерация гармоник электромагнитного излучения в неоднородной плазме» УФН 194 457–494 (2024); DOI: 10.3367/UFNr.2023.06.039410

References (188) ↓ Similar articles (20)

  1. Denisov N G Sov. Phys. JETP 4 544 (1957); Denisov N G Zh. Eksp. Teor. Fiz. 31 609 (1956)
  2. Gershman B N, Ginzburg V L, Denisov N G Usp. Fiz. Nauk 61 561 (1957)
  3. Ginzburg V L The Propagation Of Electromagnetic Waves In Plasmas (Oxford: Pergamon Press, 1964); Translated from Russian, Ginzburg V L Rasprostranenie Elektromagnitnykh Voln V Plazme (Moscow: Nauka, 1967)
  4. Silin V P Sov. Phys. Usp. 28 136 (1985); Silin V P Usp. Fiz. Nauk 145 225 (1985)
  5. Artsimovich L A, Sagdeev R Z Fizika Plazmy Dlya Fizikov (Plasma Physics For Physicists) (Moscow: Atomizdat, 1979)
  6. Forslund D W et al Phys. Rev. A 11 679 (1975)
  7. Pert G J Plasma Phys. 20 175 (1978)
  8. Erokhin N S, Zakharov V E, Moiseev S S Sov. Phys. JETP 29 101 (1969); Erokhin N S, Zakharov V E, Moiseev S S Zh. Eksp. Teor. Fiz. 56 179 (1969)
  9. Vinogradov A V, Pustovalov V V Sov. Phys. JETP 36 492 (1973); Vinogradov A V, Pustovalov V V Zh. Eksp. Teor. Fiz. 63 940 (1972)
  10. Erokhin N S, Moiseev S S, Mukhin V V Nucl. Fusion 14 333 (1974)
  11. Vladimirskii A B, Silin V P Sov. J. Plasma Phys. 6 196 (1980); Vladimirskii A B, Silin V P Fiz. Plazmy 6 354 (1980)
  12. Basov N G et al Sov. J. Quantum Electron. 9 1081 (1979); Basov N G et al Kvantovaya Elektron. 6 1829 (1979)
  13. Trotsenko N P "Sil’no nelineinaya teoriya plazmy bez stolknovenii na osnove nelineinykh dielektricheskikh pronitsaemostei (Strongly nonlinear collisionless plasma theory based on non-linear dielectric constants)" Thesis for Candidate of Phys. and Math. Sci. (Moscow: Moscow Institute of Physics and Technology, 1983)
  14. Kovalev V F, Pustovalov V V Theor. Math. Phys. 81 1060 (1989); Kovalev V F, Pustovalov V V Teor. Matem. Fiz. 81 69 (1989)
  15. Teubner U, Gibbon P Rev. Mod. Phys. 81 445 (2009)
  16. Sandhu A S et al Phys. Rev. Lett. 95 025005 (2005)
  17. Abdullaev A Sh et al "Generatsiya staticheskikh elektricheskikh polei pri vozdeistvii na plazmu moshchnogo elektromagnitnogo izlucheniya (Generation of static electric fields when plasma is exposed to powerful electromagnetic radiation)" Preprint No. 8 (Moscow: Lebedev Physical Institute, USSR Acad. Sci., 1986)
  18. Albritton J, Koch P Phys. Fluids 18 1136 (1975)
  19. DeNeef P Phys. Rev. Lett. 39 997 (1977)
  20. Forslund D W, Kindel J M, Lee K Phys. Rev. Lett. 39 284 (1977)
  21. Bulanov S V, Kovrizhnykh L M, Sakharov A S Sov. Phys. JETP 45 1809 (1977); Bulanov S V, Kovrizhnykh L M, Sakharov A S Zh. Eksp. Teor. Fiz. 72 1873 (1977)
  22. Lee A Y et al Phys. Rev. Lett. 48 319 (1982)
  23. Gibbon P Phys. Rev. Lett. 73 664 (1994)
  24. Gibbon P, Förster E Plasma Phys. Control. Fusion 38 769 (1996)
  25. Gus’kov S Yu et al Quantum Electron. 41 886 (2011); Gus’kov S Yu et al Kvantovaya Elektron. 41 886 (2011)
  26. Colaïtis A et al Phys. Rev. E 94 041101 (2015)
  27. Basov N G, Krokhin O N Sov. Phys. JETP 19 123 (1964); Basov N G, Krokhin O N Zh. Eksp. Teor. Fiz. 46 171 (1964)
  28. Dawson J M Phys. Fluids 7 981 (1964)
  29. Max C E "Physics of the coronal plasma in laser fusion targets" Les Houches, Summer School on Laser-Plasma Interaction, Session XXXIV, 1980 (Eds R Balian, J C Adam) (Amsterdam: North-Holland Publ. Co., 1982) p. 301
  30. Tabak M et al Phys. Plasmas 1 1626 (1994)
  31. Craxton R S et al Phys. Plasmas 22 110501 (2015)
  32. Bel’kov S A et al J. Exp. Theor. Phys. 121 686 (2015); Bel’kov S A et al Zh. Eksp. Teor. Fiz. 148 784 (2015)
  33. Colaitis A et al Phys. Plasmas 23 072703 (2016)
  34. Rosenberg M J et al Phys. Rev. Lett. 120 055001 (2018)
  35. Demchenko N N J. Exp. Theor. Phys. 130 945 (2020); Demchenko N N Zh. Eksp. Teor. Fiz. 157 120 (2020)
  36. Pisarczyk T Plasma Phys. Control. Fusion 62 115020 (2020)
  37. Speziale T, Catto P J Phys. Fluids 20 990 (1977)
  38. Cai H et al Phys. Plasmas 13 094504 (2006)
  39. Xu H et al Phys. Plasmas 13 123301 (2006)
  40. Ding W-J et al Phys. Plasmas 16 042315 (2009)
  41. Rajouria S K, Magesh Kumar K K, Tripathi V K Phys. Plasmas 20 083112 (2013)
  42. Metelskii I I, Kovalev V F, Bychenkov V Yu Bull. Lebedev Phys. Inst. 43 16 (2016); Metelskii I I, Kovalev V F, Bychenkov V Yu Kratkie Soobshch. Fiz. FIAN 42 (12) 68 (2015)
  43. Metelskii I I, Kovalev V F, Bychenkov V Yu Plasma Phys. Rep. 43 175 (2017); Metelskii I I, Kovalev V F, Bychenkov V Yu Fiz. Plazmy 43 169 (2017)
  44. Metelskii I I "Relyativistski-nelineinoe rezonansnoe pogloshchenie i generatsiya vysshikh garmonik intensivnogo lazernogo izlucheniya v neodnorodnoi plazme (Relativistic nonlinear resonant absorption and generation of higher harmonics of intense laser radiation in an inhomogeneous plasma)" Thesis for Candidate of Phys. and Math. Sci. (Moscow: Lebedev Physical Institute RAS, 2022)
  45. Metelskii I I, Kovalev V F, Bychenkov V Yu J. Exp. Theor. Phys. 133 236 (2021); Metelskii I I, Kovalev V F, Bychenkov V Yu Zh. Eksp. Teor. Fiz. 160 283 (2021)
  46. Metelskii I I Bull. Lebedev Phys. Inst. 48 400 (2021); Metelskii I I Kratkie Soobshch. Fiz. FIAN (12) 49 (2021)
  47. Mendel C W (Jr.), Olsen J N Phys. Rev. Lett. 34 859 (1975)
  48. Donaldson T P, Lädrach P, Wägli P Phys. Lett. A 70 419 (1979)
  49. Yabe T et al Jpn. J. Appl. Phys. 20 L141 (1981)
  50. Estabrook K, Kruer W L Phys. Rev. Lett. 40 42 (1978)
  51. Adam J C, Heron A Phys. Fluids 31 2602 (1988)
  52. Tarasevitch A et al Phys. Rev. A 62 023816 (2000)
  53. Veisz L et al Phys. Plasmas 11 3311 (2004)
  54. Burnett N H et al Appl. Phys. Lett. 31 172 (1977)
  55. Carman R L, Rhodes C K, Benjamin R F Phys. Rev. A 24 2649 (1981)
  56. Metelskii I I, Kovalev V F, Bychenkov V Yu Phys. Plasmas 26 113113 (2019)
  57. Metelskii I I, Kovalev V F, Bychenkov V Yu J. Russ. Laser Res. 40 429 (2019)
  58. Askar’yan G A Sov. Phys. JETP 15 1088 (1962); Askar’yan G A Zh. Eksp. Teor. Fiz. 42 1568 (1962)
  59. Ginzburg V L, Gurevich A V Sov. Phys. Usp. 3 175 (1960); Ginzburg V L, Gurevich A V Usp. Fiz. Nauk 70 393 (1960)
  60. Askar’yan G A Sov. Phys. Usp. 16 680 (1974); Askar’yan G A Usp. Fiz. Nauk 111 249 (1973)
  61. Gurevich A V, Shvartsburg A B Nelineinaya Teoriya Rasprostraneniya Radiovoln V Ionosfere (Nonlinear Theory Of Radio Wave Propagation In The Ionosphere) (Moscow: Nauka, 1973)
  62. Gurevich A V Sov. Phys. Usp. 19 869 (1976); Gurevich A V Usp. Fiz. Nauk 120 319 (1976)
  63. Gurevich A V Phys. Usp. 50 1091 (2007); Gurevich A V Usp. Fiz. Nauk 177 1145 (2007)
  64. Estabrook K G, Valeo E J, Kruer W L Phys. Fluids 18 1151 (1975)
  65. Wilks S C Phys. Fluids B 5 2603 (1993)
  66. Gibbon P, Andreev A A, Platonov K Yu Plasma Phys. Control. Fusion 54 045001 (2012)
  67. Ahedo E, Sanmartin J R Plasma Phys. Control. Fusion 29 419 (1987)
  68. Kovalev V F, Shirkov D V Phys. Usp. 51 815 (2008); Kovalev V F, Shirkov D V Usp. Fiz. Nauk 178 849 (2008)
  69. Shirkov D V Renormalization Group’91, Second Intern. Conf., 3-6 September 1991, Dubna, USSR (Eds D V Shirkov, V B Priezzhev) (Singapore: World Scientific, 1992) p. 1
  70. Kovalev V F, Krivenko S V, Pustovalov V V Renormalization Group’91, Second Intern. Conf., 3-6 September 1991, Dubna, USSR (Eds D V Shirkov, V B Priezzhev) (Singapore: World Scientific, 1992) p. 300
  71. Shirkov D V Sov. Phys. Dokl. 27 197 (1982); Shirkov D V Dokl. Akad. Nauk SSSR 263 64 (1982)
  72. Bogoliubov N N, Shirkov D V Dokl. Akad. Nauk SSSR 103 391 (1955)
  73. Bogoliubov N N, Shirkov D V "Charge renormalization group in quantum field theory" Nuovo Cimento 3 845 (1956)
  74. Bogoliubov N N, Shirkov D V Sov. Phys. JETP 3 57 (1956); Bogoliubov N N, Shirkov D V Zh. Eksp. Teor. Fiz. 30 77 (1956)
  75. Bogoliubov N N, Shirkov D V Introduction To The Theory Of Quantized Fields (New York: John Wiley and Sons, 1980); Translated from Russian, Bogoliubov N N, Shirkov D V Vvedenie V Teoriyu Kvantovannykh Polei (Moscow: Nauka, 1984)
  76. Metelskii I I, Kovalev V F, Bychenkov V Yu J. Phys. Conf. Ser. 769 012083 (2016)
  77. Zhekulin L A Zh. Eksp. Teor. Fiz. 4 76 (1934)
  78. Zhekulin L A Izv. Akad. Nauk SSSR 4 409 (1940)
  79. Al’pert Ya L, Ginzburg V L, Feinberg E L Rasprostranenie Radiovoln (Radio Wave Propagation) (Moscow: GITTL, 1953)
  80. Försterling K Arch. Elektr. 3 115 (1949)
  81. Försterling K, Wüster H-O J. Atmos. Terr. Phys. 2 22 (1951)
  82. Golant V E, Piliya A D Sov. Phys. Usp. 14 413 (1972); Golant V E, Piliya A D Usp. Fiz. Nauk 104 413 (1971)
  83. Vas’kov V V, Gurevich A V Sov. Phys. JETP 42 91 (1975); Vas’kov V V, Gurevich A V Zh. Eksp. Teor. Fiz. 69 176 (1975)
  84. Gurevich A V Sov. Phys. Usp. 18 746 (1975); Gurevich A V Usp. Fiz. Nauk 117 184 (1975)
  85. Gurevich A V et al Phys. Usp. 43 1103 (2000); Gurevich A V et al Usp. Fiz. Nauk 170 1181 (2000)
  86. Akhiezer A I, Lyubarskii G Ya Dokl. Akad. Nauk SSSR 80 193 (1951)
  87. 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)
  88. Dawson J M Phys. Rev. 113 383 (1959)
  89. Coffey T P Phys. Fluids 14 1402 (1971)
  90. Kruer W L Phys. Fluids 22 1111 (1979)
  91. Milyutin S V, Frolov A A, Chizhonkov E V Vychisl. Metody Program. 14 295 (2013)
  92. Frolov A A, Chizhonkov E V Vychisl. Metody Program. 15 537 (2014)
  93. Drake J F et al Phys. Rev. Lett. 36 196 (1976)
  94. Tsintsadze N L Sov. Phys. JETP 32 684 (1971); Tsintsadze N L Zh. Eksp. Teor. Fiz. 59 1251 (1971)
  95. Bulanov S V, Naumova N M, Pegoraro F Phys. Plasmas 1 745 (1994)
  96. Ovsiannikov L V Group Analysis Of Differential Equations (New York: Academic Press, 1982); Translated from Russian: Gruppovoi Analiz Differentsial’nykh Uravnenii (Moscow: Nauka, 1978)
  97. Ibragimov N H Transformation Groups Applied To Mathematical Physics (Berlin: Springer, 1984); Translated from Russian, Ibragimov N H Gruppy Preobrazovanii V Matematicheskoi Fizike (Moscow: Nauka, 1983)
  98. Zhuravskii A M Spravochnik Po Ellipticheskim Funktsiyam (Handbook On Elliptic Functions) (Moscow: Izd. AN SSSR, 1941)
  99. Prudnikov A P, Brychkov Yu A, Marichev O I Integrals And Series (New York: Gordon and Breach Sci. Publ., 1986); Translated from Russian, Prudnikov A P, Brychkov Yu A, Marichev O I Integraly I Ryady. Elementarnye Funktsii (Moscow: Nauka, 1981)
  100. Gurevich A V, Zybin K P Phys. Usp. 38 687 (1995); Gurevich A V, Zybin K P Usp. Fiz. Nauk 165 723 (1995)
  101. Appell P Traité De Mécanique Rationnelle Vol. 1 (Paris: Gauthier-Villars, 1941); Translated into Russian, Appell P Teoreticheskaya Mekhanika Vol. 1 (Moscow: Fizmatlit, 1960)
  102. Bulanov S V et al Phys. Usp. 56 429 (2013); Bulanov S V et al Usp. Fiz. Nauk 183 449 (2013)
  103. Davydova T A Fiz. Plazmy 7 291 (1981)
  104. Kaplan A E Sov. Phys. JETP 45 896 (1977); Kaplan A E Zh. Eksp. Teor. Fiz. 72 1710 (1977)
  105. Brantov A V et al Phys. Plasmas 10 3385 (2003)
  106. Hirsch P, Shmoys J J. Res. Natl. Bur. Stand. D 69 521 (1965)
  107. Hirsch P Radio Sci. 2 407 (1967)
  108. Piliya A D Sov. Tech. Phys. 11 609 (1966); Piliya A D Zh. Tekh. Fiz. 36 818 (1966)
  109. Omel’chenko A Ya, Stepanov K N Ukr. Fiz. Zh. 12 1445 (1967)
  110. Tang T Radio Sci. 5 111 (1970)
  111. Omel’chenko A Ya, Panchenko V I, Stepanov K N Radiophys. Quantum Electron. 14 1166 (1971); Omel’chenko A Ya, Panchenko V I, Stepanov K N Izv. Vyssh. Uchebn. Zaved. Radiofiz. 14 1484 (1971)
  112. Kelly D L, Banos A (Jr.) UCLA Plasma Physics Group Report No. PPG-170 (1974)
  113. Budden K G Radio Waves In The Ionosphere (Cambridge: Univ. Press, 1961)
  114. Hinkel-Lipsker D E, Fried B D, Morales G J Phys. Rev. Lett. 62 2680 (1989)
  115. Hinkel-Lipsker D E, Fried B D, Morales G J Phys. Rev. Lett. 66 1862 (1991)
  116. Hinkel-Lipsker D E, Fried B D, Morales G J Phys. Fluids B 4 1772 (1992)
  117. Hinkel-Lipsker D E, Fried B D, Morales G J Phys. Fluids B 5 1746 (1993)
  118. Gil’denburg V B Sov. Phys. JETP 19 1456 (1964); Gil’denburg V B Zh. Eksp. Teor. Fiz. 46 2156 (1964)
  119. Zharov A A, Kondrat’ev I G, Miller M A JETP Lett. 25 330 (1977); Zharov A A, Kondrat’ev I G, Miller M A Pis’ma Zh. Eksp. Teor. Fiz. 25 355 (1977)
  120. Gil’denburg V B et al Sov. J. Plasma Phys. 7 399 (1981); Gil’denburg V B et al Fiz. Plazmy 7 732 (1981)
  121. Aliev Yu M et al JETP Lett. 42 539 (1985); Aliev Yu M et al Pis’ma Zh. Eksp. Teor. Fiz. 42 437 (1985)
  122. WOLFRAM. Wolfram Language and System. Doc. Center. Integrate, https://reference.wolfram.com/language/ref/Integrate.html
  123. Gil’denburg V B, Kondrat’ev I G, Markov G A Radiophys. Quantum Electron. 12 522 (1969); Gil’denburg V B, Kondrat’ev I G, Markov G A Izv. Vyssh. Uchebn. Zaved. Radiofiz. 12 655 (1969)
  124. Gil’denburg V B, Fraiman G M Sov. Phys. JETP 42 816 (1975); Gil’denburg V B, Fraiman G M Zh. Eksp. Teor. Fiz. 69 1601 (1975)
  125. Galeev A A et al JETP Lett. 21 251 (1975); Galeev A A et al Pis’ma Zh. Eksp. Teor. Fiz. 21 539 (1975)
  126. Ghen H-H, Liu O-S Phys. Rev. Lett. 39 1147 (1977)
  127. Shukla P K, Spatschek K H J. Plasma Phys. 19 387 (1978)
  128. Gil’denburg V B, Litvak A G, Fraiman G M JETP Lett. 28 401 (1978); Gil’denburg V B, Litvak A G, Fraiman G M Pis’ma Zh. Eksp. Teor. Fiz. 28 433 (1978)
  129. Demchenko N N, Rozanov V B, Tagviashvili M N Sov. J. Quantum Electron. 19 361 (1989); Demchenko N N, Rozanov V B, Tagviashvili M N Kvantovaya Elektron. 16 546 (1989)
  130. Tikhonchuk V T et al Matter Radiat. Extremes 6 025902 (2021)
  131. Caruso A et al Phys. Lett. A 33 29 (1970)
  132. Decroisette M, Meyer B, Piar G J. Phys. Colloq. 32 C56-119 (1971)
  133. Rupasov A A, Tsapenko V P, Shikanov A S Preprint No. 94 (Moscow: Lebedev Physical Institute USSR Acad. Sci., 1972)
  134. Vinogradov A V, Pustovalov V V Sov. Phys. JETP 36 492 (1973); Vinogradov A V, Pustovalov V V Zh. Eksp. Teor. Fiz. 63 940 (1973)
  135. Pustovalov V V et al II Mezhdunar. Konf. po Teorii Plazmy, Kiev, 28 Oktyabrya - 1 Noyabrya 1974 g. (II Intern. Conf. on Plasma Theory, Kiev, 28 October-1 November 1974) (Kiev: Inst. Teor. Fiz. AN Ukr.SSR, 1974)
  136. Saleres A, Decroisette M, Patou C Opt. Commun. 13 321 (1975)
  137. Gorokhov A A et al JETP Lett. 21 49 (1975); Gorokhov A A et al Pis’ma Zh. Eksp. Teor. Fiz. 21 111 (1975)
  138. Krokhin O N et al JETP Lett. 22 21 (1975); Krokhin O N et al Pis’ma Zh. Eksp. Teor. Fiz. 22 47 (1975)
  139. Fabre E et al Opt. Commun. 18 218 (1976)
  140. Bychenkov V Yu, Silin V P, Tikhonchuk V T Sov. J. Plasma Phys. 3 730 (1977); Bychenkov V Yu, Silin V P, Tikhonchuk V T Fiz. Plazmy 3 1314 (1977)
  141. Baldis H A, Pépin H, Grek B Appl. Phys. Lett. 27 291 (1975)
  142. McLean E A et al Appl. Phys. Lett. 31 825 (1977)
  143. Carman R L, Forslund D W, Kindel J M Phys. Rev. Lett. 46 29 (1981)
  144. Bezzerides B, Jones R D, Forslund D W Phys. Rev. Lett. 49 202 (1982)
  145. Isichenko M B, Yan’kov V V JETP Lett. 37 351 (1983); Isichenko M B, Yan’kov V V Pis’ma Zh. Eksp. Teor. Fiz. 37 297 (1983)
  146. Isichenko M B, Yan’kov V V Sov. Phys. JETP 60 1101 (1984); Isichenko M B, Yan’kov V V Zh. Eksp. Teor. Fiz. 87 1914 (1984)
  147. Kovalev V F, Pustovalov V V "Generatsiya garmonik goryachei lazernoi plazmoi pri ukruchenii profilya vozbuzhdaemoi lengmyurovskoi volny (Generation of harmonics by hot laser plasma upon steepening of the profile of the excited Langmuir wave)" Preprint No. 56 (Moscow: Lebedev Physical Institute USSR Acad. Sci., 1988)
  148. Kovalev V F, Pustovalov V V Sov. J. Quantum Electron. 18 463 (1988); Kovalev V F, Pustovalov V V Kvantovaya Elektron. 15 726 (1988)
  149. Kovalev V F, Pustovalov V V Kratkie Soobshch. Fiz. FIAN (3) 41 (1989)
  150. Kovalev V F, Pustovalov V V Sov. J. Plasma Phys. 15 27 (1989); Kovalev V F, Pustovalov V V Fiz. Plazmy 15 47 (1989)
  151. Kovalev V F, Pustovalov V V Sov. J. Plasma Phys. 15 327 (1989); Kovalev V F, Pustovalov V V Fiz. Plazmy 15 563 (1989)
  152. Kovalev V F, Pustovalov V V Quantum Electron. 19 1454 (1989); Kovalev V F, Pustovalov V V Kvantovaya Elektron. 16 2261 (1989)
  153. Kovalev V F, Pustovalov V V Kratkie Soobshch. Fiz. FIAN (2) 29 (1991)
  154. Bastiani S et al Phys. Rev. E 56 7179 (1997)
  155. Schlegel Th et al Phys. Rev. E 60 2209 (1999)
  156. Bulanov S V et al Kratkie Soobshch. Fiz. FIAN (6) 11 (1991)
  157. Bulanov S V, Esirkepov T, Tajima T Phys. Rev. Lett. 91 085001 (2003)
  158. Bulanov S V, Naumova N M, Pegoraro F Phys. Plasmas 1 745 (1994)
  159. Baeva T, Gordienko S, Pukhov A Phys. Rev. E 74 065401 (2006)
  160. Pirozhkov A S et al Phys. Plasmas 13 013107 (2006)
  161. Lichters R, Meyer-ter-Vehn J, Pukhov A Phys. Plasmas 3 3425 (1996)
  162. Norreys P A et al Phys. Rev. Lett. 76 1832 (1996)
  163. Tarasevitch A et al Phys. Rev. Lett. 98 103902 (2007)
  164. Kovalev V F, Bychenkov V Yu, Tikhonchuk V T Phys. Rev. A 61 033809 (2000)
  165. Kovalev V F, Popov K I, Bychenkov V Yu J. Exp. Theor. Phys. 114 25 (2012); Kovalev V F, Popov K I, Bychenkov V Yu Zh. Eksp. Teor. Fiz. 141 31 (2012)
  166. Kovalev V F, Bychenkov V Yu JETP Lett. 107 458 (2018); Kovalev V F, Bychenkov V Yu Pis’ma Zh. Eksp. Teor. Fiz. 107 484 (2018)
  167. Kovalev V F, Bychenkov V Yu Phys. Rev. E 99 043201 (2019)
  168. Bychenkov V Yu, Kovalev V F Radiophys. Quantum Electron. 63 742 (2021); Bychenkov V Yu, Kovalev V F Izv. Vyssh. Uchebn. Zaved. Radiofiz. 63 825 (2020)
  169. Ibragimov N H et al Int. J. Non-Linear Mech. 71 1 (2015)
  170. Kovalev V F, Bychenkov V Yu, Tikhonchuk V T JETP Lett. 74 10 (2001); Kovalev V F, Bychenkov V Yu, Tikhonchuk V T Pis’ma Zh. Eksp. Teor. Fiz. 74 12 (2001)
  171. Kovalev V F, Bychenkov V Yu, Tikhonchuk V T J. Exp. Theor. Phys. 95 226 (2002); Kovalev V F, Bychenkov V Yu, Tikhonchuk V T Zh. Eksp. Teor. Fiz. 122 264 (2002)
  172. Kovalev V F, Bychenkov V Yu Phys. Rev. Lett. 90 185004 (2003)
  173. Bychenkov V Yu et al Phys. Usp. 58 71 (2015); Bychenkov V Yu et al Usp. Fiz. Nauk 185 77 (2015)
  174. Kovalev V F, Bychenkov V Yu, Bochkarev S G Quantum Electron. 47 1023 (2017); Kovalev V F, Bychenkov V Yu, Bochkarev S G Kvantovaya Elektron. 47 1023 (2017)
  175. Bochkarev S G et al Sci. Rep. 8 9404 (2018)
  176. Kovalev V F, Bychenkov V Yu J. Exp. Theor. Phys. 121 1 (2015); Kovalev V F, Bychenkov V Yu Zh. Eksp. Teor. Fiz. 148 5 (2015)
  177. Stephens C R Int. J. Mod. Phys. B 12 1379 (1998)
  178. Tentori A et al Phys. Plasmas 28 103302 (2021)
  179. Strickland D, Mourou G Opt. Commun. 56 219 (1985)
  180. Naumova N M et al Phys. Rev. Lett. 92 063902 (2004)
  181. Bulanov S S et al Phys. Rev. E 73 049904 (2006)
  182. Bulanov S V et al Phys. Rev. Lett. 91 085001 (2003)
  183. Kulagin V V et al Phys. Plasmas 14 113101 (2007)
  184. Meyer-ter-Vehn J, Wu H-C Eur. Phys. J. D 55 433 (2009)
  185. Bulanov S S et al Phys. Lett. A 374 476 (2010)
  186. Bulanov S S et al Phys. Plasmas 19 020702 (2012)
  187. Esirkepov T Zh et al Phys. Rev. Lett. 103 025002 (2009)
  188. Mourou G, Tajima T Science 331 41 (2011)
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