Skip to main content
Log in

Characterization of focal field formed by a large numerical aperture paraboloidal mirror and generation of ultra-high intensity (1022 W/cm2)

  • Published:
Applied Physics B Aims and scope Submit manuscript

An Erratum to this article was published on 18 August 2005

Abstract

We describe a method to measure the aberrations of a high numerical aperture off-axis paraboloid and correct for the aberrations using adaptive optics. It is then shown that the characterized aberrations can be used to accurately calculate the electromagnetic field at the focus using the Stratton–Chu vector diffraction theory. Using this methodology, an intensity of 7×1021 W/cm2 was demonstrated by focusing a 45-TW laser beam with an f/0.6, 90 off-axis paraboloid after correcting the aberrations of the paraboloid and the low-energy reference beam. The intensity can be further increased to 1×1022 W/cm2 by including in the correction algorithm the wavefront difference between the reference beam and the high-energy beam.

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. O. Albert, H. Wang, D. Liu, Z. Chang, G. Mourou, Opt. Lett. 25, 1125 (2000)

    Google Scholar 

  2. S.-W. Bahk, P. Rousseau, T.A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G.A. Mourou, V. Yanovsky, Opt. Lett. 29, 2837 (2004)

    Article  PubMed  Google Scholar 

  3. P. Varga, P. Török, J. Opt. Soc. Am. A 17, 2081 (2000)

    Google Scholar 

  4. L. Cicchitelli, H. Hora, R. Postle, Phys. Rev. A 41, 3727 (1990)

    Article  PubMed  Google Scholar 

  5. B. Quesnel, P. Mora, Phys. Rev. E 58, 3719 (1998)

    Article  Google Scholar 

  6. S.-W. Bahk, V. Yanovsky, G. Mourou, in Conference on Lasers and Electro-Optics (CLEO), 2005, paper JThE84

  7. J.D. Jackson, Classical Electrodynamics, 2nd edn. (Wiley, New York, 1975), p. 242

    Google Scholar 

  8. M. Lax, W.H. Louisell, W.B. McKnight, Phys. Rev. A 11, 1365 (1975)

    Article  Google Scholar 

  9. R. Dorn, S. Quabis, G. Leuchs, J. Mod. Opt. 50, 1917 (2003)

    Article  Google Scholar 

  10. B. Richards, E. Wolf, Proc. R. Soc. (Lond.) A 253, 358 (1959)

    Google Scholar 

  11. W.H. Carter, J. Opt. Soc. Am. 62, 1195 (1972)

    Google Scholar 

  12. R.K. Luneberg, Mathematical Theory of Optics (Brown University, RI), mimeographed lecture notes

  13. B. Rau, T. Tajima, H. Hojo, Phys. Rev. Lett. 78, 3310 (1997)

    Article  Google Scholar 

  14. D.A. Tichenor, J.W. Goodman, J. Opt. Soc. Am. 62, 293 (1972)

    Google Scholar 

  15. J.W. Goodman, Introduction to Fourier Optics, 2nd edn. (McGraw-Hill, New York, 1996), Sect. 3.10

    Google Scholar 

  16. V. Yanovsky, S.-W. Bahk, C. Felix, N. Saleh, P. Rousseau, V. Chvykov, G. Mourou, in Conference on Lasers and Electro-Optics (CLEO). OSA Trends in Optics and Photonics Series, vol. 73 (Optical Society of America, Washington, DC, 2002), paper CMK4

  17. P.S. Banks, M.D. Perry, V. Yanovsky, S.N. Fochs, B.C. Stuart, J. Zweiback, IEEE J. Quantum Electron. 36, 268 (2000)

    Article  Google Scholar 

  18. Z. Sacks, G. Mourou, R. Danielius, Opt. Lett. 26, 462 (2001)

    Google Scholar 

  19. S.V. Bulanov, T.Zh. Esirkepov, J. Koga, T. Tajima, Plasma Phys. Rep. 30, 196 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S.-W. Bahk.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s00340-005-1925-z.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bahk, SW., Rousseau, P., Planchon, T.A. et al. Characterization of focal field formed by a large numerical aperture paraboloidal mirror and generation of ultra-high intensity (1022 W/cm2). Appl. Phys. B 80, 823–832 (2005). https://doi.org/10.1007/s00340-005-1803-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-005-1803-8

Keywords

Navigation