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Nonlinear collective effects in photon-photon and photon-plasma interactions

Mattias Marklund* and Padma K. Shukla*

Mattias Marklund* and Padma K. Shukla*

  • Department of Physics, Umeå University, SE-901 87 Umeå, Sweden

  • *Also at Institut für Theoretische Physik IV, Ruhr-Universität Bochum, D-44780 Bochum, Germany; Centre for Fundamental Physics, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 0QX, U.K.
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Rev. Mod. Phys. 78, 591 – Published 31 May, 2006

DOI: https://doi.org/10.1103/RevModPhys.78.591

Abstract

Strong-field effects in laboratory and astrophysical plasmas and high intensity laser and cavity systems are considered, related to quantum electrodynamical (QED) photon-photon scattering. Current state-of-the-art laser facilities are close to reaching energy scales at which laboratory astrophysics will become possible. In such high energy density laboratory astrophysical systems, quantum electrodynamics will play a crucial role in the dynamics of plasmas and indeed the vacuum itself. Developments such as the free-electron laser may also give a means for exploring remote violent events such as supernovae in a laboratory environment. At the same time, superconducting cavities have steadily increased their quality factors, and quantum nondemolition measurements are capable of retrieving information from systems consisting of a few photons. Thus, not only will QED effects such as elastic photon-photon scattering be important in laboratory experiments, it may also be directly measurable in cavity experiments. Here implications of collective interactions between photons and photon-plasma systems are described. An overview of strong field vacuum effects is given, as formulated through the Heisenberg-Euler Lagrangian. Based on the dispersion relation for a single test photon traveling in a slowly varying background electromagnetic field, a set of equations describing the nonlinear propagation of an electromagnetic pulse on a radiation plasma is derived. The stability of the governing equations is discussed, and it is shown using numerical methods that electromagnetic pulses may collapse and split into pulse trains, as well as be trapped in a relativistic electron hole. Effects, such as the generation of novel electromagnetic modes, introduced by QED in pair plasmas is described. Applications to laser-plasma systems and astrophysical environments are also discussed.

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References (319)

  1. Adler, S. L., 1971, Ann. Phys. (N.Y.) 67, 599.
  2. Adler, S. L., J. N. Bahcall, C. G. Callan, and M. N. Rosenbluth, 1970, Phys. Rev. Lett. 25, 1061.
  3. Adler, S. L., and C. Shubert, 1996, Phys. Rev. Lett. 77, 1695.
  4. Agrawal, G., 2001, Nonlinear Fiber Optics (Academic, New York).
  5. Akhmadaliev, Sh. Zh., et al., 2002, Phys. Rev. Lett. 89, 061802.
  6. Alexandrov, E. B., A. A. Anselm, and A. N. Moskalev, 1985, Zh. Eksp. Teor. Fiz. 89, 1181 [Sov. Phys. JETP 62, 680 (1985)].
  7. Alkhofer, R., et al., 2001, Phys. Rev. Lett. 87, 193902.
  8. Anderson, D., F. Cattani, and M. Lisak, 1999, Phys. Scr. T82, 32.
  9. Anderson, D., et al., 1999, Phys. Lett. A 258, 244.
  10. Arendt, P. N., Jr., and J. A. Eilek, 2002, Astrophys. J. 581, 451.
  11. Asseo, E., 2003, Plasma Phys. Controlled Fusion 45, 853.
  12. Avan, J., H. M. Fried, and Y. Gabellini, 2003, Phys. Rev. D 67, 016003.
  13. Avetisyan, G. K., A. K. Avetisyan, and Kh. V. Serdrakyan, 1991, Zh. Eksp. Teor. Fiz.99, 50 [ 72, 26 (1991)].
  14. Avetissian, H. K., et al., 2002, Phys. Rev. E 66, 016502.
  15. Bahk, S.-W., et al., 2004, Opt. Lett. 29, 2837.
  16. Baĭer,V. N., and V. M. Katkov, 1968, Zh. Eksp. Teor. Fiz. 55, 1542 [Sov. Phys. JETP 26, 854 (1968)].
  17. Baier, V. N., A. I. Milstein, and R. Z. Shaisultanov, 1996, Phys. Rev. Lett. 77, 1691.
  18. Bailey, J., et al., 1979, Nucl. Phys. B 150, 1.
  19. Bakalov, D., et al., 1994, Nucl. Phys. B 35, 180.
  20. Bakalov, D., et al., 1998, Quantum Semiclassic. Opt. 10, 239.
  21. Bamber, C., et al., 1999, Phys. Rev. D 60, 092004.
  22. Baring, M. G., and A. K. Harding, 1997, Astrophys. J. 482, 372.
  23. Baring, M. G., and A. K. Harding, 2001, Astrophys. J. 547, 929.
  24. Barton, G., 1990, Phys. Lett. B 237, 559.
  25. Barton, G., and K. Scharnhorst, 1993, J. Phys. A 26, 2037.
  26. Berestetskii, V. B., E. M. Lifshitz, and L. P. Pitaevskii, 1982, Quantum Electrodynamics (Pergamon, Oxford).
  27. Berezhiani, V. I., D. P. Garochava, S. V. Mikhladze, K. I. Sigua, N. L. Tsintsadze, S. M. Mahajan, Y. Kishimoto, and K. Nishikawa, 2005, Phys. Plasmas 12, 062308.
  28. Berezhiani, V. I., D. D. Tskhakaya, and P. K. Shukla, 1992, Phys. Rev. A 46, 6608.
  29. Berge, L., E. A. Kuznetsov, and J. J. Rasmussen, 1996, Phys. Rev. E 53, R1340.
  30. Berge, L., and J. J. Rasmussen, 1996, Phys. Plasmas 3, 324.
  31. Berge, L., J. J. Rasmussen, and M. R. Schmidt, 1998, Phys. Scr. T75, 18.
  32. Bernard, D., 1998, in Frontier Tests of QED and Physics of the Vacuum, edited by E. Zavattini, D. Bakalov, and C. Rizzo (Heron, Sofia, Hungary).
  33. Bernard, D., 1999, Nucl. Phys. B (Proc. Suppl.) 72, 201.
  34. Bernard, D., 2000, Nucl. Phys. B (Proc. Suppl.) 82, 439.
  35. Bernard, D., et al., 2000, Eur. Phys. J. D 10, 141.
  36. Beskin, V. I., A. V. Gurevich, and Ya. N. Istomin, 1993, Physics of the Pulsar Magnetosphere (Cambridge University Press, Cambridge).
  37. Bethe, H. A., and W. Heitler, 1934, Proc. R. Soc. London, Ser. A 146, 83.
  38. Bialynicka-Birula, Z., and I. Bialynicki-Birula, 1970, Phys. Rev. D 2, 2341.
  39. Bingham, R., 2003, Nature (London) 424, 258.
  40. Bingham, R., J. T. Mendonça, and P. K. Shukla, 2004, Plasma Phys. Controlled Fusion 46, R1.
  41. Bloch, J. C. R., C. D. Roberts, and S. M. Schmidt, 2000, Phys. Rev. D 61, 117502.
  42. Bloch, J. C. R., et al., 1999, Phys. Rev. D 60, 116011.
  43. Bloembergen, N., 1996, Nonlinear Optics (World Scientific, Singapore).
  44. Bluhm, R., 2004, Nucl. Instrum. Methods Phys. Res. B 221, 6.
  45. Bluhm, R., V. A. Kostelecký, and N. Russel, 1999, Phys. Rev. Lett. 82, 2254.
  46. Boer, D., and J.-W. van Holten, 2002, e-print hep-ph/0204207.
  47. Bordag, M., U. Mohideen, and V. M. Mostepanenko, 2001, Phys. Rep. 353, 1.
  48. Borghesi, M., et al., 2002, Phys. Rev. Lett. 88, 135002.
  49. Bradley, R., et al., 2003, Rev. Mod. Phys. 75, 777.
  50. Breit, G., and J. A. Wheeler, 1934, Phys. Rev. 46, 1087.
  51. Bressi, G., G. Carugno, R. Onofrio, and G. Ruoso, 2002, Phys. Rev. Lett. 88, 041804.
  52. Brezin, E., and C. Itzykson, 1970, Phys. Rev. D 2, 1191.
  53. Brodin, G., M. Marklund, and L. Stenflo, 2001, Phys. Rev. Lett. 87, 171801.
  54. Brodin, G., M. Marklund, and L. Stenflo, 2002, Phys. Scr. T98, 127.
  55. Brodin, G., L. Stenflo, D. Anderson, M. Lisak, M. Marklund, and P. Johannisson, 2003, Phys. Lett. A 306, 206.
  56. Budil, K. S., et al., 2000, Astrophys. J., Suppl. Ser. 127, 261.
  57. Bujarbarua, S., and H. Schamel, 1981, J. Plasma Phys. 25, 515.
  58. Bula, C., et al., 1996, Phys. Rev. Lett. 76, 3116.
  59. Bulanov, S. S., 2004, Phys. Rev. E 69, 036408.
  60. Bulanov, S. S., A. M. Fedotev, and F. Pegoraro, 2005, Phys. Rev. E 71, 016404.
  61. Bulanov, S. V., T. Esirkepov, and T. Tajima, 2003, Phys. Rev. Lett. 91, 085001; 91, 085001(E) (2003).
  62. Bulanov, S. V., and A. S. Sakharov, 1991, JETP Lett. 54, 203.
  63. Bulanov, S. V., et al., 1999, Phys. Rev. Lett. 82, 3440.
  64. Bulanov, S. V., et al., 2000, JETP Lett. 71, 407.
  65. Bulanov, S. V., et al., 2004, Plasma Phys. Rep. 30, 196.
  66. Bunkin, F. V., and A. E. Kazakov, 1970, Dokl. Akad. Nauk SSSR 93, 1274 [Sov. Phys. Dokl. 15, 758 (1971).
  67. Burke, D. L., et al., 1997, Phys. Rev. Lett. 79, 1626.
  68. Cairns, R. A., A. Reitsma, and R. Bingham, 2004, Phys. Plasmas 11, 766.
  69. Calmet, J., et al., 1977, Rev. Mod. Phys. 49, 21.
  70. Cameron, R., et al., 1993, Phys. Rev. D 47, 3707.
  71. Casher, A., H. Neuberger, and S. Nussinov, 1979, Phys. Rev. D 20, 179.
  72. Casimir, H. B. G., 1948, Proc. K. Ned. Akad. Wet. 52, 793.
  73. Casimir, H. B. G., and D. Polder, 1948, Phys. Rev. 73, 360.
  74. Čerenkov, P. A., 1934, Dokl. Akad. Nauk SSSR 2, 451.
  75. Chefranov, S. G., 2004, Phys. Rev. Lett. 93, 254801.
  76. Chen, P., and T. Tajima, 1999, Phys. Rev. Lett. 83, 256.
  77. Chen, P., 2003, Phys. Rev. Lett. 13, 3.
  78. Chernev, P., and V. Petrov, 1992, Opt. Lett. 17, 172.
  79. Chistyakov, M. V., A. V. Kuznetsov, N. V. Mikheev, 1998, Phys. Lett. B 434, 67.
  80. Colladay, D., and V. A. Kostelecký, 1998, Phys. Rev. D 58, 116002.
  81. Curtis, M. F., 1982, Rev. Mod. Phys. 54, 1.
  82. de Groot, S. R., W. A. van Leeuwen, and C. G. van Weert, 1980, Relativistic Kinetic Theory: Principles and Applications (North-Holland, Amsterdam).
  83. Delbrück, M., 1933, Z. Phys. 84, 144.
  84. De Lorenci, V. A., R. Klippert, M. Novello, and J. M. Salim, 2000, Phys. Lett. B 482, 134.
  85. Desaix, M., D. Anderson, and M. Lisak, 1991, J. Opt. Soc. Am. B 8, 2082.
  86. DESY X-Ray Free Electron Laser, 2005, http://xfel.desy.de/
  87. Dewar, R. L., 1974, Phys. Rev. A 10, 2017.
  88. Dicus, D. A., C. Kao, and W. W. Repko, 1998, Phys. Rev. D 57, 2443.
  89. Dietrich, D. D., 2003, Phys. Rev. D 68, 105005.
  90. Ding, Y. J., and A. E. Kaplan, 1989, Phys. Rev. Lett. 63, 2725.
  91. Ding, Y. J., and A. E. Kaplan, 1990, Phys. Rev. Lett. 65, 2746.
  92. Ding, Y. J., and A. E. Kaplan, 1992, J. Nonlinear Opt. Phys. Mater. 1, 51.
  93. Dittrich, W., 1979, Phys. Rev. D 19, 2385.
  94. Dittrich, W., and H. Gies, 1998, Phys. Rev. D 58, 025004.
  95. Dittrich, W., and H. Gies, 2000, Probing the Quantum Vacuum (Springer-Verlag, Berlin).
  96. Dremin, I. M., 2002, JETP Lett. 75, 167.
  97. Duncan, R. C., 2002, e-print astro-ph/0002442.
  98. Dunne, G. V., 2004, in From Fields to Strings: Circumnavigating Theoretical Physics, edited by M. Shifman, A. Vainshtein, and J. Weather (World Scientific, Singapore, in press).
  99. Dupays, A., C. Rizzo, M. Roncadelli, and G. F. Bignami, 2005, Phys. Rev. Lett. 95, 211302.
  100. Eliasson, B., and P. K. Shukla, 2006, Phys. Rep. 422, 225.
  101. Eliezer, S., 2002, The Interaction of High-Power Lasers with Plasmas (IOP, Bristol).
  102. Elmfors, P., and B.-S. Skagerstam, 1995, Phys. Lett. B 348, 141; 348, 141(E) (1995).
  103. Erber, T., 1966, Rev. Mod. Phys. 38, 626.
  104. Eriksson, D., G. Brodin, M. Marklund, and L. Stenflo, 2004, Phys. Rev. A 70, 013808.
  105. Esirkepov, T., et al., 2004, Phys. Rev. Lett. 92, 175003.
  106. Esirkepov, T. Zh., et al., 1998, Pis'ma Zh. Eksp. Teor. Fiz. 68, 33 , [JETP Lett. 68, 36 (1998)].
  107. Esirkepov, T. Zh., et al., 1999, Pis'ma Zh. Eksp. Teor. Fiz. 70, 80 , [JETP Lett. 70, 82 (1999)].
  108. Farina, D., and S. V. Bulanov, 2001a, Phys. Rev. E 64, 066401.
  109. Farina, D., and S. V. Bulanov, 2001b, Phys. Rev. Lett. 86, 5289.
  110. Ford, G. W., and D. G. Steel, 1990, Phys. Rev. Lett. 65, 2745.
  111. Fradkin, E. S., D. M. Gitman, and Sh. M. Shvartsman, 1991, Quantum Electrodynamics with Unstable Vacuum (Springer-Verlag, Berlin).
  112. Fried, H. M., Y. Gabellini, B. H. J. McKellar, and J. Avan, 2001, Phys. Rev. D 63, 125001.
  113. Gaeta, A. L., 2003, Science 301, 54.
  114. Gahn, C., et al., 2000, Appl. Phys. Lett. 77, 2662.
  115. Gies, H., 1999a, Phys. Rev. D 60, 105002.
  116. Gies, H., 1999b, Phys. Rev. D 60, 105033.
  117. Gies, H., 2000, Phys. Rev. D 61, 085021.
  118. Goloviznin, V. V., and T. J. Schep, 1999, Pis'ma Zh. Eksp. Teor. Fiz. 70, 445 [JETP Lett. 70, 450 (1999)].
  119. Graber, J., 1993, Ph.D. dissertation (Cornell University); see also http://w4.lns.cornell.edu/public/CESR/SRF/BasicSRF/SRFBas1.html
  120. Greaves, R. G., and C. M. Surko, 1995, Phys. Rev. Lett. 75, 3846.
  121. Greaves, R. G., and C. M. Surko, 1997, Phys. Plasmas 4, 1528.
  122. Greaves, R. G., M. D. Tinkle, and C. M. Surko, 1994, Phys. Plasmas 1, 1439.
  123. Greiner, W., B. Müller, and J. Rafelski, 1985, Quantum Electrodynamics of Strong Fields (Springer, Berlin).
  124. Greisen, K., 1966, Phys. Rev. Lett. 16, 748.
  125. Grib, A. A., S. G. Mamaev, and V. M. Mostepanenko, 1988, Vacuum Effects in Strong Fields (Atomizdat, Moscow).
  126. Hall, J. L., J. Ye, and L.-S. Ma, 2000, Phys. Rev. A 62, 013815.
  127. Harber, D. M., J. M. Obrecht, J. M. McGuirk, and E. A. Cornell, 2005, Phys. Rev. A 72, 033610.
  128. Harding, A. K., 1991, Science 251, 1033.
  129. Harding, A. K., M. G. Baring, and P. L. Gonthier, 1997, Astrophys. J. 476, 246.
  130. Hasegawa, A., 1975, Plasma Instabilities and Nonlinear Effects (Springer-Verlag, Berlin).
  131. Hawking, S. W., 1974, Nature (London) 248, 30.
  132. Hayata, K., and M. Koshiba, 1993, Phys. Rev. E 48, 2312.
  133. HEDLA-2004, 2005, Proceedings of the 5th International Conference on High Energy Density Laboratory Astrophysics (Tuscon, Arizona, March 2004), Astrophys. Space Sci. 298, Issue 1–2.
  134. Heisenberg, W., and H. Euler, 1936, Z. Phys. 98, 714.
  135. Helander, P., and D. J. Ward, 2003, Phys. Rev. Lett. 90, 135004.
  136. Heyl, J. S., and L. Hernquist, 1997a, J. Phys. A 30, 6485.
  137. Heyl, J. S., and L. Hernquist, 1997b, Phys. Rev. D 55, 2449.
  138. Heyl, J. S., and L. Hernquist, 1999, Phys. Rev. D 59, 045005.
  139. Heyl, J. S., and N. J. Shaviv, 2002, Phys. Rev. D 66, 023002.
  140. Heyl, J. S., N. J. Shaviv, and D. Lloyd, 2003, Mon. Not. R. Astron. Soc. 342, 134.
  141. Iacopini, E., and E. Zavattini, 1979, Phys. Lett.85B, 151.
  142. Institute for Laser Engineering, Osaka University, 2005, http://www.ile.osakau.ac.jp/
  143. Jackiw, R., and V. A. Kostelecký, 1999, Phys. Rev. Lett. 82, 3572.
  144. Jarlskog, G., et al., 1973, Phys. Rev. D 8, 3813.
  145. Jeah-Sheng, W., N. Wei-Tou, and C. Sheng-Jui, 2004, Class. Quantum Grav. 21, S1259.
  146. Kaplan, A. E., and Y. J. Ding, 2000, Phys. Rev. A 62, 043805.
  147. Karpman, V. I., 1971, Plasma Phys. 13, 477.
  148. Karpman, V. I., 1998, Phys. Plasmas 5, 932.
  149. Karpman, V. I., and H. Washimi, 1977, J. Plasma Phys. 18, 173.
  150. Kaw, P. K., et al., 1992, Phys. Rev. Lett. 68, 3172.
  151. Khokonov, M. Kh., and H. Nitta, 2002, Phys. Rev. Lett. 89, 094801.
  152. Kim, A., et al., 2000, JETP Lett. 72, 241.
  153. Kirsebom, K., et al., 2001, Phys. Rev. Lett. 87, 054801.
  154. Kivshar, Y. S., and G. P. Agrawal, 2003, Optical Solitons (Academic, San Diego).
  155. Klein, J. J., and B. P. Nigam, 1964a, Phys. Rev. 136, B1279.
  156. Klein, J. J., and B. P. Nigam, 1964b, Phys. Rev. 136, B1540.
  157. Kluger, Y., et al., 1991, Phys. Rev. Lett. 67, 2427.
  158. Kondratyev, V. N., 2002, Phys. Rev. Lett. 88, 221101.
  159. Kouveliotou, C., et al., 1998, Nature (London) 393, 235.
  160. Kozlov, V. A., et al., 1979, Zh. Eksp. Teor. Fiz. 76, 148 , [Sov. Phys. JETP 49, 75 (1979)].
  161. Kuznetsov, E. A., J. J. Rasmussen, K. Rypdal, and S. K. Turitsyn, 1995, Physica D 87, 273.
  162. Lamoreaux, S. K., 1997, Phys. Rev. Lett. 78, 5; 81, 5475(E) (1998).
  163. Latorre, J. I., P. Pascual, and R. Tarrach, 1995, Nucl. Phys. B 437, 60.
  164. Lee, R. W., et al., 1995, Science on High-Energy Lasers (Lawrence Livermore National Laboratory, Livermore).
  165. Lee, S. A., and W. M. Fairbanks, 2002, in Laser Physics at the Limits, edited by H. Figger, D. Meschede, and C. Zimmermann (Springer-Verlag, Berlin).
  166. Liang, E. P., S. C. Wilks, and M. Tabak, 1998, Phys. Rev. Lett. 81, 4887.
  167. Liepe, M., e-print physics/0009098.
  168. Lipa, J. A., J. A. Nissen, S. Wang, D. A. Stricker, and D. Avaloff, 2003, Phys. Rev. Lett. 90, 060403.
  169. Lodenqual, J., et al., 1974, Astrophys. J. 190, 141.
  170. Lontano, M., et al., 2003, Phys. Plasmas 10, 639.
  171. Luiten, A. N., and J. C. Petersen, 2004a, Phys. Lett. A 330, 429.
  172. Luiten, A. N., and J. C. Petersen, 2004b, Phys. Rev. A 70, 033801.
  173. Lundström, E., et al., 2006, Phys. Rev. Lett. 96, 083602.
  174. Luo, Q., et al., 2002, Phys. Rev. E 66, 026405.
  175. Luther, G. G., A. C. Newell, and J. V. Moloney, 1994, Physica D 74, 59.
  176. Mamaev, S. G., V. M. Mostepanenko, and M. I. Eĭdes, 1981, Sov. J. Nucl. Phys. 33, 569.
  177. Marinov, M. S., and V. S. Popov, 1977, Fortschr. Phys. 25, 373.
  178. Marklund, M., 2004, Phys. Scr. T113, 59.
  179. Marklund, M., G. Brodin, and L. Stenflo, 2003, Phys. Rev. Lett. 91, 163601.
  180. Marklund, M., G. Brodin, L. Stenflo, and P. K. Shukla, 2005, New J. Phys. 7, 70.
  181. Marklund, M., B. Eliasson, and P. K. Shukla, 2004, JETP Lett. 79, 262.
  182. Marklund, M., P. K. Shukla, G. Brodin, and L. Stenflo, 2004a, Proceedings of the 12th International Congress on Plasma Physics, Nice, France, 2004, 03–0100; e-Proceedings available at http://hal.ccsd.cnrs.fr/ccsd-00003094/en
  183. Marklund, M., P. K. Shukla, G. Brodin, and L. Stenflo, 2004b, New J. Phys. 6, 172.
  184. Marklund, M., P. K. Shukla, G. Brodin, and L. Stenflo, 2005, J. Plasma Phys. 71, 527.
  185. Marklund, M., P. K. Shukla, and B. Eliasson, 2005, Europhys. Lett. 71, 327.
  186. Marklund, M., P. K. Shukla, L. Stenflo, G. Brodin, and M. Servin, 2005, Plasma Phys. Controlled Fusion 47, L25.
  187. Marklund, M., D. D. Tskhakaya, and P. K. Shukla, 2005, Europhys. Lett. 72, 950.
  188. Max, C. E., J. Arons, and J. B. Langdon, 1974, Phys. Rev. Lett. 33, 209.
  189. McKenna, J. M., and P. M. Platzman, 1963, Phys. Rev. 129, 2354.
  190. McKenna, P., et al., 2005, Phys. Rev. Lett. 94, 084801.
  191. Melissinos, A. C., 2002, e-print hep-ph/0205169.
  192. Mendonça, J. T., 2001, Theory of Photon Acceleration (IOP, Bristol).
  193. Mentzel, M., D. Berg, and G. Wunner, 1994, Phys. Rev. D 50, 1125.
  194. Meyerhofer, D. D., 1997, IEEE J. Quantum Electron. 33, 1935.
  195. Mikheev, N. V., and N. V. Chistyakov, 2001, JETP Lett. 73, 642.
  196. Mills, A. P., Jr., 2002, Nucl. Instrum. Methods Phys. Res. B 192, 107.
  197. Milonni, P. W., 1994, The Quantum Vacuum (Academic, San Diego).
  198. Mittleman, M. H., 1987, Phys. Rev. A 35, 4624.
  199. Mostepanenko, V. M., and V. M. Frolov, 1974, Sov. J. Nucl. Phys. 19, 451.
  200. Mostepanenko, V. M., and N. N. Trunov, 1997, The Casimir Effect and its Applications (Oxford Science Publications, Oxford).
  201. Moulin, F., and D. Bernard, 1999, Opt. Commun. 164, 137.
  202. Moulin, F., D. Bernard, and F. Amiranoff, 1996, Z. Phys. C 72, 607.
  203. Mourou, G. A., C. P. J. Barty, and M. D. Perry, 1998, Phys. Today 51 (1), 22.
  204. Mourou, G. A., T. Tajima, and S. V. Bulanov, 2006, Rev. Mod. Phys.78, 309.
  205. Narozhny, N. B., and A. I. Nikishov, 1970, Sov. J. Nucl. Phys. 11, 596.
  206. Narozhny, N. B., et al., 1965, Sov. Phys. JETP 20, 622.
  207. Narozhny, N. B., et al., 2004a, Phys. Lett. A 330, 1.
  208. Narozhny, N. B., et al., 2004b, Zh. Eksp. Teor. Fiz. 80, 434 , [JETP Lett. 80, 382 (2004)].
  209. Naumova, N. M., et al., 2001, Phys. Rev. Lett. 87, 185004.
  210. Nibbelink, S. G., and M. Pospelov, 2005, Phys. Rev. Lett. 94, 081601.
  211. Nikishov, A. I., and V. I. Ritus, 1964a, Sov. Phys. JETP 19, 529.
  212. Nikishov, A. I., and V. I. Ritus, 1964b, Sov. Phys. JETP 19, 1191.
  213. Nikishov, A. I., and V. I. Ritus, 1965, Sov. Phys. JETP 20, 757.
  214. Nikishov, A. I., and V. I. Ritus, 1967, Sov. Phys. JETP 25, 1135.
  215. Nitta, H., M. Kh. Khokonov, Y. Nagata, and S. Onuki, 2004, Phys. Rev. Lett. 93, 180407.
  216. Novello, M., et al., 2001, Phys. Rev. D 63, 103516.
  217. OMEGA EP Laser Facility, University of Rochester, 2005, http://omegaep.lle.rochester.edu/
  218. Oohara, W., and R. Hatakeyama, 2003, Phys. Rev. Lett. 91, 205005.
  219. Oshima, N., et al., 2004, Phys. Rev. Lett. 93, 195001.
  220. Partovi, M. H., 1993, e-print hep-ph/9308293.
  221. Partovi, M. H., 1994, Phys. Rev. D 50, 1118.
  222. Patel, N., 2002, Nature (London) 415, 110.
  223. Peacock, J. A., 1998, Cosmological Physics (Cambridge University Press, Cambridge).
  224. Peccei, R. D., and H. R. Quinn, 1977, Phys. Rev. Lett. 38, 1440.
  225. Perry, M. D., and G. Mourou, 1994, Science 264, 917.
  226. Piran, T., 2004, Rev. Mod. Phys. 76, 1143.
  227. Popov, V. S., 1971, Zh. Eksp. Teor. Fiz. Pis'ma Red. 13, 261 [JETP Lett. 13, 185 (1971)].
  228. Popov, V. S., 1972, Zh. Eksp. Teor. Fiz. Pis'ma Red. 13, 261 [Sov. Phys. JETP 35, 659 (1972)].
  229. Popov, V. S., 1973, Zh. Eksp. Teor. Fiz. Pis'ma Red. 18, 53 [JETP Lett. 18, 29 (1973)].
  230. Popov, V. S., 1974, Yad. Fiz. 19, 155 [Sov. J. Nucl. Phys. 19, 81 (1974)].
  231. Popov, V. S., and M. S. Marinov, 1973, Sov. J. Nucl. Phys. 16, 449.
  232. Prozorkevich, A. V., et al., 2000, e-print nucl-th/0012039.
  233. Pukhov, A., 2003, Rep. Prog. Phys. 66, 47.
  234. Raizen, M. G., and B. Rosenstein, 1990, Phys. Rev. Lett. 65, 2744.
  235. Reinhardt, J., and W. Greiner, 1977, Rep. Prog. Phys. 40, 219.
  236. Reiss, H. R., 1962, J. Math. Phys. 3, 59.
  237. Relativistic Heavy Ion Collider, 2005, Brookhaven National Laboratory, http://www.bnl.gov/rhic/
  238. Remington, B. A., 2005, Plasma Phys. Controlled Fusion 47, A191.
  239. Rikken, G. L. J. A., and C. Rizzo, 2000, Phys. Rev. A 63, 012107.
  240. Rikken, G. L. J. A., and C. Rizzo, 2003, Phys. Rev. A 67, 015801.
  241. Ringwald, A., 2001a, Phys. Lett. B 510, 107.
  242. Ringwald, A., 2001b, e-print hep-ph/0112254.
  243. Ringwald, A., 2003, e-print hep-ph/0304139.
  244. Ritus, V. I., 1976, Sov. Phys. JETP 42, 774.
  245. Roberts, C. D., S. M. Schmidt, and D. V. Vinnik, 2002, Phys. Rev. Lett. 89, 153901.
  246. Rodionov, V. N., 2004, JETP 98, 395.
  247. Rothenberg, J. E., 1992, Opt. Lett. 17, 583.
  248. Rozanov, N. N., 1993, Zh. Eksp. Teor. Fiz. 103, 1996 [JETP 76, 991 (1993)].
  249. Rozanov, N. N., 1998, Zh. Eksp. Teor. Fiz. 113, 513 [JETP 86, 284 (1998)].
  250. Rutherford Appleton Laboratory Central Laser Facility, 2005, http://www.clf.rl.ac.uk/
  251. Ryutov, D. D., R. P. Drake, and B. A. Remington, 2000, Astrophys. J., Suppl. Ser.127, 465.
  252. Saulson, P. R., 1994, Fundamentals of Interferometric Gravitational Wave Detectors (World Scientific, Singapore).
  253. Sauter, F., 1931, Z. Phys. 69, 742.
  254. Scharer, J. W., J. Garrison, J. Wong, and J. E. Swain, 1973, Phys. Rev. A 8, 1582.
  255. Scharnhorst, K., 1990, Phys. Lett. B 236, 354.
  256. Scharnhorst, K., 1998, Ann. Phys. 7, 700.
  257. Schamel, H., 2000, Phys. Plasmas 7, 4831.
  258. Schwinger, J., 1951, Phys. Rev. 82, 664.
  259. Scott, A., 2003, Nonlinear Science (Oxford University Press, Oxford).
  260. Shaviv, N. J., J. S. Heyl, and Y. Lithwick, 1999, Mon. Not. R. Astron. Soc. 306, 333.
  261. Shen, B., and J. Meyer-ter-Vehn, 2001a, Phys. Plasmas 8, 1003.
  262. Shen, B., and J. Meyer-ter-Vehn, 2001b, Phys. Rev. E 65, 016405.
  263. Shen, B., and M. Y. Yu, 2002, Phys. Rev. Lett. 89, 275004.
  264. Shen, B., and M. Y. Yu, 2003, Phys. Rev. E 68, 026501.
  265. Shen, B., M. Y. Yu, and R. Li, 2004, Phys. Rev. E 70, 036403(R).
  266. Shen, B., M. Y. Yu, and X. Wang, 2003, Phys. Plasmas 10, 4570.
  267. Sheng-Jui, C., et al., 2003, e-print hep-ex/0308071.
  268. Shigemori, K., et al., 2000, Astrophys. J. Lett. 533, L159.
  269. Shorokhov, O., P. Pukhov, and I. Kostyukov, 2003, Phys. Rev. Lett. 91, 265002.
  270. Shukla, P. K., 1992, Phys. Scr. 45, 618.
  271. Shukla, P. K., R. Bharuthram, and N. L. Tsintsadze, 1987, Phys. Rev. A 35, R4889.
  272. Shukla, P. K., R. Bharuthram, and N. L. Tsintsadze, 1988, Phys. Scr. 38, 578.
  273. Shukla, P. K., and B. Eliasson, 2004, Phys. Rev. Lett. 92, 073601.
  274. Shukla, P. K., and B. Eliasson, 2005, Phys. Rev. Lett. 94, 065002.
  275. Shukla, P. K., B. Eliasson, and M. Marklund, 2004, Opt. Commun. 235, 373.
  276. Shukla, P. K., B. Eliasson, and M. Marklund, 2005, J. Plasma Phys. 71, 213.
  277. Shukla, P. K., M. Marklund, G. Brodin, and L. Stenflo, 2004, Phys. Lett. A 330, 131.
  278. Shukla, P. K., M. Marklund, and B. Eliasson, 2004, Phys. Lett. A 324, 193.
  279. Shukla, P. K., M. Marklund, D. D. Tskhakaya, and B. Eliasson, 2004, Phys. Plasmas 11, 3767.
  280. Shukla, P. K., N. N. Rao, M. Y. Yu, and N. L. Tsintsadze, 1986, Phys. Rep. 138, 1.
  281. Shukla, P. K., and L. Stenflo, 1998, Phys. Plasmas 5, 1554.
  282. Silva, L. O., et al., 2004, Phys. Rev. Lett. 92, 015002.
  283. SLAC Linac Coherent Light Source, 2005, http://www-ssrl.slac.stanford.edu/lcls/
  284. Soljačić, M., and M. Segev, 2000a, Phys. Rev. E 62, 2810.
  285. Soljačić, M., and M. Segev, 2000b, Phys. Rev. A 62, 043817(R).
  286. Soljačić, M., S. Sears, and M. Segev, 1998, Phys. Rev. Lett. 81, 4851.
  287. Stenflo, L., 1976, Phys. Scr. 14, 320.
  288. Stenflo, L., G. Brodin, M. Marklund, and P. K. Shukla, 2005, J. Plasma Phys.71, 709.
  289. Stenflo, L., and N. L. Tsintsadze, 1979, Astrophys. Space Sci. 64, 513.
  290. Sukenik, C. I., M. G. Boshier, D. Cho, V. Sandoghdar, and E. A. Hinds, 1993, Phys. Rev. Lett. 70, 560.
  291. Surko, C. M., and R. G. Greaves, 2004, Phys. Plasmas 11, 2333.
  292. Surko, C. M., M. Leventhal, and A. Passner, 1989, Phys. Rev. Lett. 62, 901.
  293. Tajima, T., 2003, Plasma Phys. Rep. 29, 207.
  294. Tajima, T., and J. Dawson, 1979, Phys. Rev. Lett. 43, 267.
  295. Tajima, T., and G. Mourou, 2002, Phys. Rev. ST Accel. Beams 5, 031301.
  296. Tajima, T., and T. Taniuti, 1990, Phys. Rev. A 42, 3587.
  297. Tamm, I. E., and I. M. Frank, 1937, Dokl. Akad. Nauk SSSR 14, 107.
  298. Thoma, M. H., 2000, Europhys. Lett. 52, 498.
  299. Thompson, C., and O. Blaes, 1998, Phys. Rev. D 57, 3219.
  300. Tomaras, T. N., N. C. Tsamis, and R. P. Woodard, 2000, Phys. Rev. D 62, 125005.
  301. Tsai, W.-Y., 1974a, Phys. Rev. D 10, 1342.
  302. Tsai, W.-Y., 1974b, Phys. Rev. D 10, 2699.
  303. Tsai, W., and T. Erber, 1975, Phys. Rev. D 12, 1132.
  304. Tsintsadze, N. L., and J. T. Mendonça, 1998, Phys. Plasmas 5, 3609.
  305. Tskhakaya, D. D., 1982, Phys. Rev. Lett. 48, 484.
  306. Unruh, W., 1976, Phys. Rev. D 14, 870.
  307. Valluri, S. R., U. D. Jentschura, and D. R. Lamm, 2003, in High Energy Physics, edited by A. H. Fariborz, AIP Conf. Proc. No. 687 (AIP, Melville), p. 203.
  308. Ventura, J., 1979, Phys. Rev. D 19, 1684.
  309. Weiland, J. C., and H. Wilhelmsson, 1977, Coherent Non-linear Interaction of Waves in Plasmas (Pergamon, Oxford).
  310. Weinberg, S., 1978, Phys. Rev. Lett. 40, 223.
  311. Weisskopf, V. S., 1936, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 14 (1).
  312. Wilczek, F., 1978, Phys. Rev. Lett. 40, 279.
  313. Wilks, S. C., et al., 1992, Phys. Rev. Lett. 69, 1383.
  314. Woolsey, N. C., C. Courtois, and R. O. Dendy, 2004, Plasma Phys. Controlled Fusion 46, B397.
  315. Yu, M. Y., P. K. Shukla, and N. L. Tsintsadze, 1982, Phys. Fluids 25, 1049.
  316. Zatsepin, G. T., and V. A. Kuzmin, 1966, JETP Lett. 4, 78.
  317. Zavattini, E., et al., 2006, Phys. Rev. Lett. 96, 110406.
  318. Zepf, M., et al., 2003, Phys. Rev. Lett. 90, 064801.
  319. Zharova, N. A., A. G. Litvak, and V. A. Mironov, 2003, JETP 96, 643.

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Rev. Mod. Phys. 78, 591– Published 31 May, 2006

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