Skip to main content
Log in

On the design of experiments for the study of relativistic nonlinear optics in the limit of single-cycle pulse duration and single-wavelength spot size

  • Nonlinear Phenomena in Plasma
  • Published:
Plasma Physics Reports Aims and scope Submit manuscript

Abstract

We propose a set of experiments with the aim of studying for the first time relativistic nonlinear optics in the fundamental limits of single-cycle pulse duration and single-wavelength spot size. The laser system that makes this work possible is now operating at the Center for Ultrafast Optical Science at the University of Michigan. Its high repetition rate (1 kHz) will make it possible to perform a detailed investigation of relativistic effects in this novel regime. This study has the potential to make the field of relativistic optics accessible to a wider community and to open the door for real-world applications of relativistic optics, such as electron/ion acceleration and neutron and positron production.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. D. Perry and G. Mourou, Science 64, 917 (1994); G. A. Mourou, C. P. J. Barty, and M. D. Perry, Phys. Today 51, 22 (1998); S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).

    ADS  Google Scholar 

  2. A. I. Akhiezer and R. V. Polovin, Zh. Éksp. Teor. Fiz. 30, 915 (1956) [Sov. Phys. JETP 3, 696 (1956)].

    Google Scholar 

  3. S. A. Akhmanov and R. V. Khokhlov, Nonlinear Optics (VINITI, Moscow, 1965; Gordon and Breach, New York, 1972); N. Bloembergen, Nonlinear Optics: a Lecture Note and Reprint Volume (W. A. Benjamin, New York, 1965; Mir, Moscow, 1966); Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984; Nauka, Moscow, 1989); R. W. Boyd, Nonlinear Optics (Academic, San Diego, 1992).

    Google Scholar 

  4. J. C. Kieffer, J. P. Matte, H. Pepin, et al., Phys. Rev. Lett. 68, 480 (1992).

    Article  ADS  Google Scholar 

  5. J. D. Kmetec, C. L. Gordon III, J. J. Macklin, et al., Phys. Rev. Lett. 68, 1527 (1992).

    Article  ADS  Google Scholar 

  6. F. Beg, A. R. Bell, A. E. Dangor, et al., Phys. Plasmas 4, 447 (1997); P. Norreys, M. Santala, E. Clark, et al., Phys. Plasmas 6, 2150 (1999).

    Article  ADS  Google Scholar 

  7. C. E. Clayton, K. A. Marsh, A. Dyson, et al., Phys. Rev. Lett. 70, 37 (1993); K. Nakajima, D. Fisher, T. Kawakubo, et al., Phys. Rev. Lett. 74, 4428 (1995); A. Modena, Z. Najimudin, A. E. Dangor, et al., Nature 337, 606 (1995); D. Umstadter, S.-Y. Chen, A. Maksimchuk, et al., Science 273, 472 (1996); R. Wagner, S.-Y. Chen, A. Maksimchuk, and D. Umstadter, Phys. Rev. Lett. 78, 3125 (1997); D. Gordon, K. C. Tzeng, C. E. Clayton, et al., Phys. Rev. Lett. 80, 2133 (1998); S.-Y. Chen, M. Krishnan, A. Maksimchuk, et al., Phys. Plasmas 6, 4739 (1999).

    Article  ADS  Google Scholar 

  8. G. Pretzler, A. Saemann, A. Pukhov, et al., Phys. Rev. E 58, 1165 (1998); L. Disdier, J. P. Garconnet, G. Malka, and J. L. Miquel, Phys. Rev. Lett. 82, 1454 (1999).

    Article  ADS  Google Scholar 

  9. G. S. Sarkisov, V. Yu. Bychenkov, V. T. Tikhonchuk, et al., Pis’ma Zh. ’Eksp. Teor. Fiz. 66, 787 (1997) [JETP Lett. 66, 828 (1997)]; A. G. Zhidkov, A. Sasaki, T. Tajima, et al., Phys. Rev. E 60, 3273 (1999); T. Zh. Esirkepov, Y. Sentoku, K. Mima, et al., Pis’ma Zh. Éksp. Teor. Fiz. 70, 80 (1999) [JETP Lett. 70, 82 (1999)]; S. V. Bulanov, N. M. Naumova, T. Zh. Esirkepov, et al., Pis’ma Zh. Éksp. Teor. Fiz. 71, 593 (2000) [JETP Lett. 71, 407 (2000)]; A. Maksimchuk, S. Gu, K. Flippo, et al., Phys. Rev. Lett. 84, 4108 (2000); E. L. Clark, K. Krushelnick, M. Zepf, et al., Phys. Rev. Lett. 85, 1654 (2000); Y. Sentoku, T. V. Lisseikina, T. Zh. Esirkepov, et al., Phys. Rev. E 62, 7271 (2000); S. Wilks, A. B. Langdon, T. E. Cowan, et al., Phys. Plasmas 8, 542 (2001).

    Google Scholar 

  10. A. G. Litvak, Zh. Éksp. Teor. Fiz. 57, 629 (1969) [Sov. Phys. JETP 30, 344 (1969)]; C. Max, J. Arons, and A. B. Langdon, Phys. Rev. Lett. 33, 209 (1974); G. Schmidt and W. Horton, Comm. Plasma Phys. Controlled Fusion 9, 85 (1985); P. Sprangle, C. M. Tang, and E. Esarey, IEEE Trans. Plasma Sci. PS-15, 145 (1987); A. B. Borisov, A. V. Borovskiy, O. B. Shiryaev, et al., Phys. Rev. A 45, 5830 (1992); P. Gibbon, P. Monot, T. August, et al., Phys. Plasmas 2, 1305 (1995); S. V. Bulanov, F. Pegoraro, and A. M. Pukhov, Phys. Rev. Lett. 74, 710 (1995); J. Fuchs, Phys. Rev. Lett. 80, 1658 (1998); S.-Y. Chen, G. S. Sarkisov, A. Maksimchuk, et al., Phys. Rev. Lett. 80, 2610 (1998).

    Google Scholar 

  11. T. Tajima and J. M. Dawson, Phys. Rev. Lett. 43, 267 (1979); E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE Trans. Plasma Sci. 24, 252 (1996).

    Article  ADS  Google Scholar 

  12. D. W. Forslund, J. M. Kindel, W. B. Mori, et al., Phys. Rev. Lett. 54, 558 (1985); G. A. Askar’yan, S. V. Bulanov, F. Pegoraro, and A. M. Pukhov, Pis’ma Zh. Éksp. Teor. Fiz. 60, 240 (1994) [JETP Lett. 60, 251 (1994)]; A. M. Pukhov and J. Meyer-ter-Vehn, Phys. Rev. Lett. 76, 3975 (1996); M. Borghesi, A. J. Mackinnon, R. Gaillard, et al., Phys. Rev. Lett. 80, 5137 (1998).

    Article  ADS  Google Scholar 

  13. S. V. Bulanov, N. M. Naumova, and F. Pegoraro, Phys. Plasmas 1, 745 (1994); R. Lichters, J. Meyer-ter-Vehn, and A. M. Pukhov, Phys. Plasmas 3, 3425 (1996); D. von der Linde, AIP Conf. Proc. 426, 221 (1998); M. Zepf, G. D. Tsakiris, G. Pretzler, et al., Phys. Rev. E 58, R5253 (1998).

    Article  ADS  Google Scholar 

  14. A. V. Vshivkov, N. M. Naumova, F. Pegoraro, and S. V. Bulanov, Phys. Plasmas 5, 2727 (1998).

    Article  ADS  Google Scholar 

  15. E. S. Sarachik and G. T. Schappert, Phys. Rev. D 1, 2738 (1970); S.-Y. Chen, A. Maksimchuk, and D. Umstadter, Nature 396, 653 (1998); S.-Y. Chen, A. Maksimchuk, E. Esarey, and D. Umstadter, Phys. Rev. Lett. 84, 5528 (2000).

    Article  ADS  Google Scholar 

  16. K. Nemoto, A. Maksimchuk, S. Banerjee, et al., Appl. Phys. Lett. 78, 595 (2001); K. W. Ledingham, I. Spencer, T. McCanny, et al., Phys. Rev. Lett. 84, 899 (2000); T. E. Cowan, A. W. Hunt, T. W. Phillips, et al., Phys. Rev. Lett. 84, 903 (2000).

    ADS  Google Scholar 

  17. O. Albert, H. Wang, D. Liu, et al., Opt. Lett. 25, 1125 (2000).

    ADS  Google Scholar 

  18. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Nauka, Moscow, 1973; Pergamon, Oxford, 1975).

    Google Scholar 

  19. H. M. Lai, Phys. Fluids 23, 2373 (1980); B. Rau, T. Tajima, and H. Hojo, Phys. Rev. Lett. 78, 3310 (1997).

    ADS  Google Scholar 

  20. S. V. Bulanov, V. I. Kirsanov, and A. S. Sakharov, Pis’ma Zh. Éksp. Teor. Fiz. 50, 176 (1989) [JETP Lett. 50, 198 (1989)]; V. I. Berezhiani and I. G. Murusidze, Phys. Lett. A 148, 338 (1990).

    ADS  Google Scholar 

  21. S. V. Bulanov, F. Califano, G. I. Dudnikova, et al., in Reviews of Plasma Physics, Ed. by V. D. Shafranov (Kluwer, New York, 2001), Vol. 22, p. 227.

    Google Scholar 

  22. W. Kruer and S. C. Wilks, Plasma Phys. Controlled Fusion 34, 2061 (1992); S. C. Wilks, W. L. Kruer, M. Tabak, and A. B. Langdon, Phys. Rev. Lett. 69, 1383 (1992).

    Article  ADS  Google Scholar 

  23. M. Tabak, J. Hammer, M. E. Glinsky, et al., Phys. Plasmas 1, 1626 (1994).

    Article  ADS  Google Scholar 

  24. M. Roth, T. E. Cowan, M. H. Key, et al., Phys. Rev. Lett. 86, 436 (2001); H. Ruhl, S. V. Bulanov, T. E. Cowan, et al., Fiz. Plazmy 27, 387 (2001) [Plasma Phys. Rep. 27, 363 (2001)]; V. Yu. Bychenkov, V. Rozmus, A. Maksimchuk, et al., Fiz. Plazmy 27, 1076 (2001) [Plasma Phys. Rep. 27, 1017 (2001)].

    Article  ADS  Google Scholar 

  25. V. A. Kozlov, A. G. Litvak, and E. V. Suvorov, Zh. Éksp. Teor. Fiz. 76, 148 (1979) [Sov. Phys. JETP 49, 75 (1979)]; P. K. Kaw, A. Sen, and T. Katsouleas, Phys. Rev. Lett. 68, 3172 (1992); D. Farina and S. V. Bulanov, Phys. Rev. Lett. 86, 5289 (2001); Fiz. Plazmy 27, 680 (2001) [Plasma Phys. Rep. 27, 641 (2001)].

    ADS  Google Scholar 

  26. S. V. Bulanov, I. N. Inovenkov, V. I. Kirsanov, et al., Phys. Fluids B 4, 1935 (1992); S. V. Bulanov, T. Zh. Esirkepov, N. M. Naumova, et al., Phys. Rev. Lett. 82, 3440 (1999).

    ADS  Google Scholar 

  27. H. Chen and C. Liu, Phys. Rev. Lett. 37, 693 (1976).

    ADS  MathSciNet  Google Scholar 

  28. Y. Sentoku, T. Zh. Esirkepov, K. Mima, et al., Phys. Rev. Lett. 83, 3434 (1999).

    Article  ADS  Google Scholar 

  29. S. V. Bulanov, M. Lontano, T. Zh. Esirkepov, et al., Phys. Rev. Lett. 76, 3562 (1996); S. V. Bulanov, T. Zh. Esirkepov, M. Lontano, and F. Pegoraro, Fiz. Plazmy 23, 715 (1997) [Plasma Phys. Rep. 23, 660 (1997)].

    Article  ADS  Google Scholar 

  30. T. Zh. Esirkepov, Comput. Phys. Commun. 135, 144 (2001).

    ADS  MATH  Google Scholar 

  31. G. Shvets and J. S. Wurtele, Phys. Rev. Lett. 73, 3540 (1994); P. Sprangle, J. Krall, and E. Esarey, Phys. Rev. Lett. 73, 3544 (1994); A. G. Litvak, V. A. Mironov, and E. M. Sher, Phys. Rev. E 55, 7441 (1997); B. J. Duda, R. G. Hemker, K. C. Tzeng, and W. B. Mori, Phys. Rev. Lett. 83, 1978 (1999); B. J. Duda and W. B. Mori, Phys. Rev. E 61, 1925 (2000).

    Article  ADS  Google Scholar 

  32. N. M. Naumova, J. Koga, K. Nakajima, et al., Phys. Plasmas 8, 4149 (2001).

    Article  ADS  Google Scholar 

  33. G. Sarkisov, V. Yu. Bychenkov, V. N. Novikov, et al., Phys. Rev. E 59, 7042 (1999).

    Article  ADS  Google Scholar 

  34. S. V. Bulanov, F. Pegoraro, A. M. Pukhov, and A. S. Sakharov, Phys. Rev. Lett. 78, 4205 (1997).

    Article  ADS  Google Scholar 

  35. C. Gahn, G. D. Tsakiris, A. Pukhov, et al., Phys. Rev. Lett. 83, 4772 (1999).

    Article  ADS  Google Scholar 

  36. S. V. Bulanov, V. I. Kirsanov, and A. S. Sakharov, Pis’ma Zh. Éksp. Teor. Fiz. 53, 540 (1991) [JETP Lett. 53, 565 (1991)]; M. Raoul, M. Trins, V. Goloviznin, et al., Phys. Rev. E 63, 26 406 (2001).

    Google Scholar 

  37. J. Meyer-ter-Vehn, Z. M. Sheng, and A. M. Pukhov, Phys. Plasmas 6, 2847 (1999).

    Article  ADS  Google Scholar 

  38. A. M. Pukhov and J. Meyer-ter-Vehn, Phys. Plasmas 5, 1880 (1998).

    Article  ADS  Google Scholar 

  39. K.-C. Tseng, W. B. Mori, and T. Katsouleas, Phys. Plasmas 6, 2105 (1999).

    ADS  Google Scholar 

  40. Wei Yu, V. Bychenkov, Y. Sentoku, et al., Phys. Rev. Lett. 85, 570 (2000).

    ADS  Google Scholar 

  41. A. V. Kuznetsov, T. Zh. Esirkepov, F. F. Kamenets, and S. V. Bulanov, Fiz. Plazmy 27, 225 (2001) [Plasma Phys. Rep. 27, 211 (2001)].

    Google Scholar 

  42. P. Sprangle, A. Ting, E. Esarey, and A. Fisher, J. Appl. Phys. 72, 5032 (1992); E. Esarey, S. K. Ride, and P. Sprangle, Phys. Rev. E 48, 3003 (1993).

    Article  ADS  Google Scholar 

  43. K. Nagashima, Y. Kishimoto, and H. Takuma, Phys. Rev. E 1, 2738 (1970); J. Denavit, Phys. Rev. Lett. 69, 3052 (1992); A. Giulietti, A. Barbini, P. Chessa, et al., Phys. Rev. Lett. 79, 3194 (1997).

    Google Scholar 

  44. T. Zh. Esirkepov, F. F. Kamenets, S. V. Bulanov, and N. M. Naumova, Pis’ma Zh. Éksp. Teor. Fiz. 68, 33 (1998) [JETP Lett. 68, 36 (1998)].

    Google Scholar 

  45. N. M. Naumova, S. V. Bulanov, T. Zh. Esirkepov, et al., Phys. Rev. Lett. 87, 185004 (2001).

  46. H. Ruhl, M. Borghesi, S. V. Bulanov, et al., submitted to Phys. Rev. Lett.

  47. A. V. Gordeev and T. V. Loseva, Pis’ma Zh. Éksp. Teor. Fiz. 70, 669 (1999) [JETP Lett. 70, 684 (1999)].

    Google Scholar 

  48. J. W. Shearer, J. Garrison, J. Wong, and J. E. Swain, Phys. Rev. A 8, 1582 (1973); E. P. Liang, S. C. Wilks, and M. Tabak, Phys. Rev. Lett. 81, 4887 (1998).

    Article  ADS  Google Scholar 

  49. C. Gahn, G. D. Tsakiris, G. Pretzler, et al., Appl. Phys. Lett. 77, 2662 (2000).

    Article  ADS  Google Scholar 

  50. D.-F. Liu, J. Nees, H.-W. Wang, et al., in Proceedings of the Conference on Lasers and Electro-Optics, San Francisco, 2000, Paper CPD-5.

  51. J. Queneuille, F. Druon, A. Maksimchuk, et al., Opt. Lett. 25, 508 (2000).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

From Fizika Plazmy, Vol. 28, No. 1, 2002, pp. 14–31.

Original English Text Copyright © 2002 by Mourou, Chang, Maksimchuk, Nees, Bulanov, Bychenkov, Esirkepov, Naumova, Pegoraro, Ruhl.

This article was submitted by the authors in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mourou, G., Chang, Z., Maksimchuk, A. et al. On the design of experiments for the study of relativistic nonlinear optics in the limit of single-cycle pulse duration and single-wavelength spot size. Plasma Phys. Rep. 28, 12–27 (2002). https://doi.org/10.1134/1.1434292

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1434292

Keywords

Navigation