Abstract

The complete Dirac-Volkov relativistic treatment of the first Born limit of laser-assisted potential scattering of electrons within a circularly polarized laser field has been compared to the nonrelativistic Bunkin-Fedorov approach. The dependence of the quiver energy on the electron four-momentum in an ultrastrong laser field leads to different energy transfer cross sections depending on the scattering geometry with respect to the laser propagation direction. Visible differences between the relativistic and non-relativistic differential cross sections for small-angle scattering occur already for 1016 W/cm2 intensity of near infrared wavelength and moderate electron initial energies.

© 1998 Optical Society of America

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References

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  1. see, for instance, “High-field interactions and short-wavelength generation”, edited by H. Milch-berg and R. Freeman, part 1 of special issue of J. Opt. Soc. Am. B13, 51–222 (1996).
  2. see, for instance, “High-field interactions and short-wavelength generarion”, edited by H. Milch-berg and R. Freeman, part 2 of special issue of J. Opt. Soc. Am. B13, 314–468 (1996).
  3. D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
    [Crossref]
  4. C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
    [Crossref] [PubMed]
  5. P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
    [Crossref] [PubMed]
  6. P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
    [Crossref] [PubMed]
  7. C. I. Moore, J. P. Knauer, and D. D. Meyerhofer, “Observation of the Transition from Thomson to Compton Scattering in Multiphoton Interactions with Low-Energy Electrons”, Phys. Rev. Lett. 74, 2439–2442 (1995).
    [Crossref] [PubMed]
  8. L. S. Brown and T. W. B. Kibble, “Interaction of Intense Laser Beams with Electrons”, Phys. Rev. 133, A705 (1964).
    [Crossref]
  9. H. R. Reiss, “Absorption of Light by Light”, J. Math. Phys. 3, 59–67 (1962).
    [Crossref]
  10. I. I. Gol’dman, “Intensity Effects in Compton Scattering”, Zh. Éksp. Teor. Fiz. 46, 1412–1417 (1964) [Sov. Phys. JETP 19, 954–957 (1964)].
  11. A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field I”, Zh. Éksp. Teor. Fiz. 46, 776–796 (1964) [Sov. Phys. JETP 19, 529–541 (1964)].
  12. A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field II” Zh. Éksp. Teor. Fiz. 46, 1768–1781 (1964) [Sov. Phys. JETP 19, 1191–1199 (1964)].
  13. J. H. Eberly, “Proposed Experiment for Observation of Nonlinear Compton Wavelength Shift”, Phys. Rev. Lett. 15, 91–93 (1965).
    [Crossref]
  14. T. W. B. Kibble, “Mutual Refraction of Electrons and Photons”, Phys. Rev. 150, 1060–1069 (1966).
    [Crossref]
  15. J. H. Eberly and H. R. Reiss, “Electron Self-Energy in Intense Plane-Wave Field”, Phys. Rev. 145, 1035 (1966).
    [Crossref]
  16. H. R. Reiss and J. H. Eberly, “Green’s function in intense field electrodynamics”, Phys. Rev. 151, 1058–1066 (1966).
    [Crossref]
  17. J. H. Eberly, “Interaction of very intense light with free electrons”, Prog. Opt. 7, 361–415, edited by E. Wolf, (Noth-Holland, Amsterdam, 1969).
  18. F. V. Bunkin and M. V. Fedorov, “Bremsstrahlung in a strong radiation field”, Zh. Éksp. Teor. Fiz. 49, 1215–1221 (1965) [Sov. Phys. JETP 22, 844–847 (1966)].
  19. M. M. Denisov and M. V. Fedorov, “Bremsstrahlung effect on relativistic electrons in a strong radiation field”, Zh. Éksp. Teor. Fiz. 53, 1340–1348 (1967) [Sov. Phys. JETP 26779–783 (1968)].
  20. C. Szymanowski, V. Véniard, R. Taïeb, A. Maquet, and C. H. Keitel, “Mott scattering in strong laser fields”, Phys. Rev. A 563846–3859 (1997).
    [Crossref]
  21. V. P. Krainov and S. P. Roshupkin, “Relativistic effects in the angular distribution of ejected electrons in tunneling ionization of atoms by strong electromagnetic fields”, J. Opt. Soc. Am. B9, 1231–1233 (1992).
  22. V. B. Berestetzkiĭ, E. M. Lifshitz, and L. P. Pitaevskiĭ, Quantum Electrodynamics, 2nd Edition (Pergamon Press, Oxford, 1982).
  23. D. M. Volkov, “Uber eine Klasse von Lösungen der Diracschen Gleichung”, Z. f. Phys. 94,250–260 (1935).
    [Crossref]
  24. S. P. Goreslavskiĭ, “The BSI model and relativistic ponderomotive scattering”, Laser Phys. 6, 74–78 (1996).
  25. N. B. Narozhnyi and M. S. Fofanov, “Creation of a pair by a photon colliding with a short focused laser pulse”, Laser Phys. 7, 141–149 (1997).
  26. C. H. Keitel, C. Szymanowski, P. L. Knight, and A. Maquet, “Radiative reaction in ultra-intense laser-atom interaction”, J. Phys. B 31, L75–L83 (1998).
    [Crossref]
  27. F. V. Hartemann and A. K. Kerman, “Classical Theory of Nonlinear Compton Scattering”, Phys. Rev. Lett. 76, 624–627 (1996).
    [Crossref] [PubMed]
  28. C. Szymanowski, R. Taïeb, and A. Maquet, “Laser-assisted scattering of polarized electrons at high field intensities”, Laser Phys. 8, 102–106 (1998).

1998 (2)

C. H. Keitel, C. Szymanowski, P. L. Knight, and A. Maquet, “Radiative reaction in ultra-intense laser-atom interaction”, J. Phys. B 31, L75–L83 (1998).
[Crossref]

C. Szymanowski, R. Taïeb, and A. Maquet, “Laser-assisted scattering of polarized electrons at high field intensities”, Laser Phys. 8, 102–106 (1998).

1997 (3)

N. B. Narozhnyi and M. S. Fofanov, “Creation of a pair by a photon colliding with a short focused laser pulse”, Laser Phys. 7, 141–149 (1997).

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Szymanowski, V. Véniard, R. Taïeb, A. Maquet, and C. H. Keitel, “Mott scattering in strong laser fields”, Phys. Rev. A 563846–3859 (1997).
[Crossref]

1996 (6)

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

see, for instance, “High-field interactions and short-wavelength generation”, edited by H. Milch-berg and R. Freeman, part 1 of special issue of J. Opt. Soc. Am. B13, 51–222 (1996).

see, for instance, “High-field interactions and short-wavelength generarion”, edited by H. Milch-berg and R. Freeman, part 2 of special issue of J. Opt. Soc. Am. B13, 314–468 (1996).

S. P. Goreslavskiĭ, “The BSI model and relativistic ponderomotive scattering”, Laser Phys. 6, 74–78 (1996).

F. V. Hartemann and A. K. Kerman, “Classical Theory of Nonlinear Compton Scattering”, Phys. Rev. Lett. 76, 624–627 (1996).
[Crossref] [PubMed]

1995 (2)

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

C. I. Moore, J. P. Knauer, and D. D. Meyerhofer, “Observation of the Transition from Thomson to Compton Scattering in Multiphoton Interactions with Low-Energy Electrons”, Phys. Rev. Lett. 74, 2439–2442 (1995).
[Crossref] [PubMed]

1992 (1)

V. P. Krainov and S. P. Roshupkin, “Relativistic effects in the angular distribution of ejected electrons in tunneling ionization of atoms by strong electromagnetic fields”, J. Opt. Soc. Am. B9, 1231–1233 (1992).

1969 (1)

J. H. Eberly, “Interaction of very intense light with free electrons”, Prog. Opt. 7, 361–415, edited by E. Wolf, (Noth-Holland, Amsterdam, 1969).

1967 (1)

M. M. Denisov and M. V. Fedorov, “Bremsstrahlung effect on relativistic electrons in a strong radiation field”, Zh. Éksp. Teor. Fiz. 53, 1340–1348 (1967) [Sov. Phys. JETP 26779–783 (1968)].

1966 (3)

T. W. B. Kibble, “Mutual Refraction of Electrons and Photons”, Phys. Rev. 150, 1060–1069 (1966).
[Crossref]

J. H. Eberly and H. R. Reiss, “Electron Self-Energy in Intense Plane-Wave Field”, Phys. Rev. 145, 1035 (1966).
[Crossref]

H. R. Reiss and J. H. Eberly, “Green’s function in intense field electrodynamics”, Phys. Rev. 151, 1058–1066 (1966).
[Crossref]

1965 (2)

F. V. Bunkin and M. V. Fedorov, “Bremsstrahlung in a strong radiation field”, Zh. Éksp. Teor. Fiz. 49, 1215–1221 (1965) [Sov. Phys. JETP 22, 844–847 (1966)].

J. H. Eberly, “Proposed Experiment for Observation of Nonlinear Compton Wavelength Shift”, Phys. Rev. Lett. 15, 91–93 (1965).
[Crossref]

1964 (4)

L. S. Brown and T. W. B. Kibble, “Interaction of Intense Laser Beams with Electrons”, Phys. Rev. 133, A705 (1964).
[Crossref]

I. I. Gol’dman, “Intensity Effects in Compton Scattering”, Zh. Éksp. Teor. Fiz. 46, 1412–1417 (1964) [Sov. Phys. JETP 19, 954–957 (1964)].

A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field I”, Zh. Éksp. Teor. Fiz. 46, 776–796 (1964) [Sov. Phys. JETP 19, 529–541 (1964)].

A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field II” Zh. Éksp. Teor. Fiz. 46, 1768–1781 (1964) [Sov. Phys. JETP 19, 1191–1199 (1964)].

1962 (1)

H. R. Reiss, “Absorption of Light by Light”, J. Math. Phys. 3, 59–67 (1962).
[Crossref]

1935 (1)

D. M. Volkov, “Uber eine Klasse von Lösungen der Diracschen Gleichung”, Z. f. Phys. 94,250–260 (1935).
[Crossref]

Auguste, T.

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

Bakarezos,

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Bamber, C.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Berestetzkii, V. B.

V. B. Berestetzkiĭ, E. M. Lifshitz, and L. P. Pitaevskiĭ, Quantum Electrodynamics, 2nd Edition (Pergamon Press, Oxford, 1982).

Berrigde, S. C.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Boege, S.

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Boege, S. J.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

Brown, L. S.

L. S. Brown and T. W. B. Kibble, “Interaction of Intense Laser Beams with Electrons”, Phys. Rev. 133, A705 (1964).
[Crossref]

Bugg, W. M.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Bula, C.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Bunkin, F. V.

F. V. Bunkin and M. V. Fedorov, “Bremsstrahlung in a strong radiation field”, Zh. Éksp. Teor. Fiz. 49, 1215–1221 (1965) [Sov. Phys. JETP 22, 844–847 (1966)].

Burke, D. L.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Dangor, A. E.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Danson, C. N.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Denisov, M. M.

M. M. Denisov and M. V. Fedorov, “Bremsstrahlung effect on relativistic electrons in a strong radiation field”, Zh. Éksp. Teor. Fiz. 53, 1340–1348 (1967) [Sov. Phys. JETP 26779–783 (1968)].

Dulieu, A.

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

Dyson, A.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Eberly, J. H.

J. H. Eberly, “Interaction of very intense light with free electrons”, Prog. Opt. 7, 361–415, edited by E. Wolf, (Noth-Holland, Amsterdam, 1969).

H. R. Reiss and J. H. Eberly, “Green’s function in intense field electrodynamics”, Phys. Rev. 151, 1058–1066 (1966).
[Crossref]

J. H. Eberly and H. R. Reiss, “Electron Self-Energy in Intense Plane-Wave Field”, Phys. Rev. 145, 1035 (1966).
[Crossref]

J. H. Eberly, “Proposed Experiment for Observation of Nonlinear Compton Wavelength Shift”, Phys. Rev. Lett. 15, 91–93 (1965).
[Crossref]

Fedorov, M. V.

M. M. Denisov and M. V. Fedorov, “Bremsstrahlung effect on relativistic electrons in a strong radiation field”, Zh. Éksp. Teor. Fiz. 53, 1340–1348 (1967) [Sov. Phys. JETP 26779–783 (1968)].

F. V. Bunkin and M. V. Fedorov, “Bremsstrahlung in a strong radiation field”, Zh. Éksp. Teor. Fiz. 49, 1215–1221 (1965) [Sov. Phys. JETP 22, 844–847 (1966)].

Fews, A. P.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Field, R. C.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Fofanov, M. S.

N. B. Narozhnyi and M. S. Fofanov, “Creation of a pair by a photon colliding with a short focused laser pulse”, Laser Phys. 7, 141–149 (1997).

Gibbon, P.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

Gol’dman, I. I.

I. I. Gol’dman, “Intensity Effects in Compton Scattering”, Zh. Éksp. Teor. Fiz. 46, 1412–1417 (1964) [Sov. Phys. JETP 19, 954–957 (1964)].

Goreslavskii, S. P.

S. P. Goreslavskiĭ, “The BSI model and relativistic ponderomotive scattering”, Laser Phys. 6, 74–78 (1996).

Hartemann, F. V.

F. V. Hartemann and A. K. Kerman, “Classical Theory of Nonlinear Compton Scattering”, Phys. Rev. Lett. 76, 624–627 (1996).
[Crossref] [PubMed]

Horton-Smith, G.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Jakober, F.

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

Keitel, C. H.

C. H. Keitel, C. Szymanowski, P. L. Knight, and A. Maquet, “Radiative reaction in ultra-intense laser-atom interaction”, J. Phys. B 31, L75–L83 (1998).
[Crossref]

C. Szymanowski, V. Véniard, R. Taïeb, A. Maquet, and C. H. Keitel, “Mott scattering in strong laser fields”, Phys. Rev. A 563846–3859 (1997).
[Crossref]

Kerman, A. K.

F. V. Hartemann and A. K. Kerman, “Classical Theory of Nonlinear Compton Scattering”, Phys. Rev. Lett. 76, 624–627 (1996).
[Crossref] [PubMed]

Kibble, T. W. B.

T. W. B. Kibble, “Mutual Refraction of Electrons and Photons”, Phys. Rev. 150, 1060–1069 (1966).
[Crossref]

L. S. Brown and T. W. B. Kibble, “Interaction of Intense Laser Beams with Electrons”, Phys. Rev. 133, A705 (1964).
[Crossref]

Knauer, J. P.

C. I. Moore, J. P. Knauer, and D. D. Meyerhofer, “Observation of the Transition from Thomson to Compton Scattering in Multiphoton Interactions with Low-Energy Electrons”, Phys. Rev. Lett. 74, 2439–2442 (1995).
[Crossref] [PubMed]

Knight, P. L.

C. H. Keitel, C. Szymanowski, P. L. Knight, and A. Maquet, “Radiative reaction in ultra-intense laser-atom interaction”, J. Phys. B 31, L75–L83 (1998).
[Crossref]

Koffas, T.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

Kotseroglou, T.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Krainov, V. P.

V. P. Krainov and S. P. Roshupkin, “Relativistic effects in the angular distribution of ejected electrons in tunneling ionization of atoms by strong electromagnetic fields”, J. Opt. Soc. Am. B9, 1231–1233 (1992).

Lee, P.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Lifshitz, E. M.

V. B. Berestetzkiĭ, E. M. Lifshitz, and L. P. Pitaevskiĭ, Quantum Electrodynamics, 2nd Edition (Pergamon Press, Oxford, 1982).

Louis-Jacquet, M.

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

Loukakos, P.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Mainfray, G.

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

Malka, G.

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

Maquet, A.

C. H. Keitel, C. Szymanowski, P. L. Knight, and A. Maquet, “Radiative reaction in ultra-intense laser-atom interaction”, J. Phys. B 31, L75–L83 (1998).
[Crossref]

C. Szymanowski, R. Taïeb, and A. Maquet, “Laser-assisted scattering of polarized electrons at high field intensities”, Laser Phys. 8, 102–106 (1998).

C. Szymanowski, V. Véniard, R. Taïeb, A. Maquet, and C. H. Keitel, “Mott scattering in strong laser fields”, Phys. Rev. A 563846–3859 (1997).
[Crossref]

McDonald, K. T.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Melissinos, A. C.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Meyerhofer, D. D.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

C. I. Moore, J. P. Knauer, and D. D. Meyerhofer, “Observation of the Transition from Thomson to Compton Scattering in Multiphoton Interactions with Low-Energy Electrons”, Phys. Rev. Lett. 74, 2439–2442 (1995).
[Crossref] [PubMed]

Miquel, J. L.

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

Monot, P.

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

Moore, C. I.

C. I. Moore, J. P. Knauer, and D. D. Meyerhofer, “Observation of the Transition from Thomson to Compton Scattering in Multiphoton Interactions with Low-Energy Electrons”, Phys. Rev. Lett. 74, 2439–2442 (1995).
[Crossref] [PubMed]

Moustaizis, S.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Narozhnyi, N. B.

N. B. Narozhnyi and M. S. Fofanov, “Creation of a pair by a photon colliding with a short focused laser pulse”, Laser Phys. 7, 141–149 (1997).

Neely, D.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Nikishov, A. I.

A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field I”, Zh. Éksp. Teor. Fiz. 46, 776–796 (1964) [Sov. Phys. JETP 19, 529–541 (1964)].

A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field II” Zh. Éksp. Teor. Fiz. 46, 1768–1781 (1964) [Sov. Phys. JETP 19, 1191–1199 (1964)].

Norreys, P. A.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Odian, A. C.

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Pitaevskii, L. P.

V. B. Berestetzkiĭ, E. M. Lifshitz, and L. P. Pitaevskiĭ, Quantum Electrodynamics, 2nd Edition (Pergamon Press, Oxford, 1982).

Prebys, E. J.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Ragg, W.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Reis, D.A.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

Reiss, H. R.

J. H. Eberly and H. R. Reiss, “Electron Self-Energy in Intense Plane-Wave Field”, Phys. Rev. 145, 1035 (1966).
[Crossref]

H. R. Reiss and J. H. Eberly, “Green’s function in intense field electrodynamics”, Phys. Rev. 151, 1058–1066 (1966).
[Crossref]

H. R. Reiss, “Absorption of Light by Light”, J. Math. Phys. 3, 59–67 (1962).
[Crossref]

Ritus, V. I.

A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field II” Zh. Éksp. Teor. Fiz. 46, 1768–1781 (1964) [Sov. Phys. JETP 19, 1191–1199 (1964)].

A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field I”, Zh. Éksp. Teor. Fiz. 46, 776–796 (1964) [Sov. Phys. JETP 19, 529–541 (1964)].

Roshupkin, S. P.

V. P. Krainov and S. P. Roshupkin, “Relativistic effects in the angular distribution of ejected electrons in tunneling ionization of atoms by strong electromagnetic fields”, J. Opt. Soc. Am. B9, 1231–1233 (1992).

Shmakov, K.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Spencer, J. E.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Szymanowski, C.

C. H. Keitel, C. Szymanowski, P. L. Knight, and A. Maquet, “Radiative reaction in ultra-intense laser-atom interaction”, J. Phys. B 31, L75–L83 (1998).
[Crossref]

C. Szymanowski, R. Taïeb, and A. Maquet, “Laser-assisted scattering of polarized electrons at high field intensities”, Laser Phys. 8, 102–106 (1998).

C. Szymanowski, V. Véniard, R. Taïeb, A. Maquet, and C. H. Keitel, “Mott scattering in strong laser fields”, Phys. Rev. A 563846–3859 (1997).
[Crossref]

Taïeb, R.

C. Szymanowski, R. Taïeb, and A. Maquet, “Laser-assisted scattering of polarized electrons at high field intensities”, Laser Phys. 8, 102–106 (1998).

C. Szymanowski, V. Véniard, R. Taïeb, A. Maquet, and C. H. Keitel, “Mott scattering in strong laser fields”, Phys. Rev. A 563846–3859 (1997).
[Crossref]

Véniard, V.

C. Szymanowski, V. Véniard, R. Taïeb, A. Maquet, and C. H. Keitel, “Mott scattering in strong laser fields”, Phys. Rev. A 563846–3859 (1997).
[Crossref]

Volkov, D. M.

D. M. Volkov, “Uber eine Klasse von Lösungen der Diracschen Gleichung”, Z. f. Phys. 94,250–260 (1935).
[Crossref]

Walsh, F. N.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Walz, D.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Wark, J. S.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Weidemann, A. W.

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

Zepf, M.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

Zhang, J.

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

J. Math. Phys. (1)

H. R. Reiss, “Absorption of Light by Light”, J. Math. Phys. 3, 59–67 (1962).
[Crossref]

J. Opt. Soc. Am. (3)

see, for instance, “High-field interactions and short-wavelength generation”, edited by H. Milch-berg and R. Freeman, part 1 of special issue of J. Opt. Soc. Am. B13, 51–222 (1996).

see, for instance, “High-field interactions and short-wavelength generarion”, edited by H. Milch-berg and R. Freeman, part 2 of special issue of J. Opt. Soc. Am. B13, 314–468 (1996).

V. P. Krainov and S. P. Roshupkin, “Relativistic effects in the angular distribution of ejected electrons in tunneling ionization of atoms by strong electromagnetic fields”, J. Opt. Soc. Am. B9, 1231–1233 (1992).

J. Phys. B (1)

C. H. Keitel, C. Szymanowski, P. L. Knight, and A. Maquet, “Radiative reaction in ultra-intense laser-atom interaction”, J. Phys. B 31, L75–L83 (1998).
[Crossref]

Laser Phys. (3)

C. Szymanowski, R. Taïeb, and A. Maquet, “Laser-assisted scattering of polarized electrons at high field intensities”, Laser Phys. 8, 102–106 (1998).

S. P. Goreslavskiĭ, “The BSI model and relativistic ponderomotive scattering”, Laser Phys. 6, 74–78 (1996).

N. B. Narozhnyi and M. S. Fofanov, “Creation of a pair by a photon colliding with a short focused laser pulse”, Laser Phys. 7, 141–149 (1997).

Phys. Rev. (4)

L. S. Brown and T. W. B. Kibble, “Interaction of Intense Laser Beams with Electrons”, Phys. Rev. 133, A705 (1964).
[Crossref]

T. W. B. Kibble, “Mutual Refraction of Electrons and Photons”, Phys. Rev. 150, 1060–1069 (1966).
[Crossref]

J. H. Eberly and H. R. Reiss, “Electron Self-Energy in Intense Plane-Wave Field”, Phys. Rev. 145, 1035 (1966).
[Crossref]

H. R. Reiss and J. H. Eberly, “Green’s function in intense field electrodynamics”, Phys. Rev. 151, 1058–1066 (1966).
[Crossref]

Phys. Rev. A (1)

C. Szymanowski, V. Véniard, R. Taïeb, A. Maquet, and C. H. Keitel, “Mott scattering in strong laser fields”, Phys. Rev. A 563846–3859 (1997).
[Crossref]

Phys. Rev. Lett. (7)

F. V. Hartemann and A. K. Kerman, “Classical Theory of Nonlinear Compton Scattering”, Phys. Rev. Lett. 76, 624–627 (1996).
[Crossref] [PubMed]

J. H. Eberly, “Proposed Experiment for Observation of Nonlinear Compton Wavelength Shift”, Phys. Rev. Lett. 15, 91–93 (1965).
[Crossref]

D. L. Burke, R. C. Field, G. Horton-Smith, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, A. W. Weidemann, C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. J. Boege, T. Koffas, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, D.A. Reis, and W. Ragg, “Positron Production in Multiphoton Light-by-Light Scattering”, Phys. Rev. Lett. 79, 1626–1629 (1997).
[Crossref]

C. Bula, K. T. McDonald, E. J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A. C. Melissinos, D. D. Meyerhofer, W. Ragg, D. L. Burke, R. C. Field, G. Horton-Smith, A. C. Odian, J. E. Spencer, D. Walz, S. C. Berrigde, W. M. Bugg, K. Shmakov, and A. W. Weidemann, “Observation of Nonlinear Effects in Compton Scattering”, Phys. Rev. Lett. 76, 3116–3119 (1996).
[Crossref] [PubMed]

P. A. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets”, Phys. Rev. Lett. 76, 1832–1835 (1996).
[Crossref] [PubMed]

P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, “Experimental Demonstration of Relativistic Self-Channeling of a Multiterawatt Laser Pulse in an Underdense Plasma”, Phys. Rev. Lett. 74, 2953–2956 (1995).
[Crossref] [PubMed]

C. I. Moore, J. P. Knauer, and D. D. Meyerhofer, “Observation of the Transition from Thomson to Compton Scattering in Multiphoton Interactions with Low-Energy Electrons”, Phys. Rev. Lett. 74, 2439–2442 (1995).
[Crossref] [PubMed]

Prog. Opt. (1)

J. H. Eberly, “Interaction of very intense light with free electrons”, Prog. Opt. 7, 361–415, edited by E. Wolf, (Noth-Holland, Amsterdam, 1969).

Z. f. Phys. (1)

D. M. Volkov, “Uber eine Klasse von Lösungen der Diracschen Gleichung”, Z. f. Phys. 94,250–260 (1935).
[Crossref]

Zh. Éksp. Teor. Fiz. (5)

F. V. Bunkin and M. V. Fedorov, “Bremsstrahlung in a strong radiation field”, Zh. Éksp. Teor. Fiz. 49, 1215–1221 (1965) [Sov. Phys. JETP 22, 844–847 (1966)].

M. M. Denisov and M. V. Fedorov, “Bremsstrahlung effect on relativistic electrons in a strong radiation field”, Zh. Éksp. Teor. Fiz. 53, 1340–1348 (1967) [Sov. Phys. JETP 26779–783 (1968)].

I. I. Gol’dman, “Intensity Effects in Compton Scattering”, Zh. Éksp. Teor. Fiz. 46, 1412–1417 (1964) [Sov. Phys. JETP 19, 954–957 (1964)].

A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field I”, Zh. Éksp. Teor. Fiz. 46, 776–796 (1964) [Sov. Phys. JETP 19, 529–541 (1964)].

A. I. Nikishov and V. I. Ritus, “Quantum Processes in the field of a plane electromagnetic wave and in a constant field II” Zh. Éksp. Teor. Fiz. 46, 1768–1781 (1964) [Sov. Phys. JETP 19, 1191–1199 (1964)].

Other (1)

V. B. Berestetzkiĭ, E. M. Lifshitz, and L. P. Pitaevskiĭ, Quantum Electrodynamics, 2nd Edition (Pergamon Press, Oxford, 1982).

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Figures (2)

Fig. 1.
Fig. 1.

Envelope of differential cross section /do in atomic units as a function of energy transfer ΔQ scaled in units of the laser photon energy ω for an electrical field strength of E = 1 a.u. or vector potential A = Ec/ω = 3186a.u. . The Yukawa parameter is α = 0.25, the deflection angle equals ∠(q⃗,q⃗′) = 0.0002π and the initial kinetic energy is W kin = 100 a.u. . The different curves are explained in the text.

Fig. 2.
Fig. 2.

Envelope of differential cross section /do scaled in atomic units as a function of energy transfer ΔQ scaled in units of the laser photon energy ω for an electrical field strength of E = ωc = 5.89 a.u. or vector potential A = c 2 = 18769 a.u.. The parameter α, the deflection angle and the initial kinetic energy are the same as for Fig. 1. The different curves are explained in the text.

Equations (13)

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ψ q = x q = [ 1 + k A 2 c ( kp ) ] × u 2 QV × exp [ i ( qx ) i 0 kx ( pA ) c ( kp ) ] ,
T q q = iZ c d 4 x ψ ¯ q γ 0 exp ( α x ) x ψ q .
do = n d σ ( n ) do Q = Q + ,
d σ ( n ) do = Z 2 q c 2 q × 1 ( q q + n k ) 2 + α 2 2 × (
2 J n ( ζ ) 2 { [ c 2 + QQ c 2 + q q + A 2 2 c 2 ( ( k q ˜ ) ( kq ) + ( k q ˜ ) ( kq ) ) + ( A 2 ) 2 ω 2 2 c 6 ( kq ) ( kq ) ] ×
( 1 A 2 ω 2 c 4 ( kq ) ( kq ) ) A 2 2 c 2 [ 1 ( k q ˜ ) ( k q ˜ ) ( kq ) ( kq ) ] + ( A 2 ) 2 ω 2 c 6 ( kq ) ( kq )
+ ( A 2 ) 2 ω 2 2 c 6 ( kq ) 2 ( kq ) 2 [ ( kq ) ( k q ˜ ) + ( kq ) ( k q ˜ ) + A 2 ω 2 c 4 ] }
+ [ J n + 1 ( ζ ) 2 + J n 1 ( ζ ) 2 ] { A 2 2 c 2 [ ( k q ˜ ) ( kq ) + ( k q ˜ ) ( kq ) + 1 + ( k q ˜ ) ( k q ˜ ) 2 ω 2 ( kq ) ( kq ) ] }
+ 2 A 2 ω 2 c 4 ( kq ) ( kq ) + A 2 ω 2 c 4 ( kq ) ( kq ) ( ( kq ) ( k q ˜ ) + ( kq ) ( k q ˜ ) + A 2 ω 2 c 4 )
2 ω 2 c 2 ( kq ) ( kq ) ( QQ c 2 + q q + A 2 2 c 2 ( ( k q ˜ ) ( kq ) + ( k q ˜ ) ( kq ) ) + ( A 2 ) 2 ω 2 2 c 6 ( kq ) ( kq ) ) ) ]
+ 2 A 2 ω 2 c 4 ( kq ) ( kq ) [ q x q x + q y q y ] } + J n + 1 ( ζ ) J n 1 ( ζ ) cos ( 2 ϕ 0 ) 2 A 2 ω 2 c 4 ( kq ) ( kq )
× [ q x q x q y q y ] + J n ( ζ ) [ J n + 1 ( ζ ) + J n 1 ( ζ ) ] { 2 A 2 ω 2 c 4 ( kq ) ( kq ) [ ( Å q ) c
+ ( Åq ) c ] + ( Åq ) ( k q ˜ ) c ( kq ) + ( Åq ) c + ( Åq ) c + ( Åq ) ( k q ˜ ) c ( kq ) } ) Q = Q + .

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