Abstract

Target-plane intensities on the short-pulse beamlines of OMEGA EP, a petawatt-class laser, are characterized on-shot using the focal-spot diagnostic (FSD), an indirect wavefront-based measurement. Phase-retrieval methods are employed using on-shot and offline camera-based far-field measurements to improve the wavefront measurements and yield more-accurate, repeatable focal-spot predictions. Incorporation of these techniques has improved the mean cross-correlation between the FSD predictions and direct far-field fluence measurements in the target chamber from 0.78 to 0.94.

© 2012 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
    [CrossRef]
  2. J. Bromage, S.-W. Bahk, D. Irwin, J. Kwiatkowski, A. Pruyne, M. Millecchia, M. Moore, and J. D. Zuegel, “A focal-spot diagnostic for on-shot characterization of high-energy petawatt lasers,” Opt. Express16(21), 16561–16572 (2008).
    [PubMed]
  3. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.)35, 237–246 (1972).
  4. J. R. Fienup, “Phase retrieval algorithms: A comparison,” Appl. Opt.21(15), 2758–2769 (1982).
    [CrossRef] [PubMed]
  5. J. R. Fienup, “Phase-retrieval algorithms for a complicated optical system,” Appl. Opt.32(10), 1737–1746 (1993).
    [CrossRef] [PubMed]
  6. S.-W. Bahk, J. Bromage, I. A. Begishev, C. Mileham, C. Stoeckl, M. Storm, and J. D. Zuegel, “On-shot focal-spot characterization technique using phase retrieval,” Appl. Opt.47(25), 4589–4597 (2008).
    [CrossRef] [PubMed]
  7. P. Yang, M. Ao, B. Xu, and X. Yuan, “Way of detecting entire beam path aberrations of laser systems based on a phase-retrieval method,” Appl. Opt.48(7), 1402–1407 (2009).
    [CrossRef] [PubMed]
  8. J. Qiao, A. Kalb, T. Nguyen, J. Bunkenburg, D. Canning, and J. H. Kelly, “Demonstration of large-aperture tiled-grating compressors for high-energy, petawatt-class, chirped-pulse amplification systems,” Opt. Lett.33(15), 1684–1686 (2008).
    [CrossRef] [PubMed]
  9. Imagine Optic SA, 91400 Orsay, France.
  10. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968), pp. 48–54.
  11. S.-W. Bahk, “Band-limited wavefront reconstruction with unity frequency response from Shack-Hartmann Slopes Measurements,” Opt. Lett.33(12), 1321–1323 (2008).
    [CrossRef] [PubMed]
  12. W. H. Press, Numerical Recipes in C: The Art of Scientific Computing (Cambridge University Press, 1988), Chap. 10.
  13. S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science220(4598), 671–680 (1983).
    [CrossRef] [PubMed]

2009

2008

2006

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

1993

1983

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

1982

1972

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.)35, 237–246 (1972).

Ao, M.

Bagnoud, V.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Bahk, S.-W.

Begishev, I. A.

S.-W. Bahk, J. Bromage, I. A. Begishev, C. Mileham, C. Stoeckl, M. Storm, and J. D. Zuegel, “On-shot focal-spot characterization technique using phase retrieval,” Appl. Opt.47(25), 4589–4597 (2008).
[CrossRef] [PubMed]

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Bromage, J.

S.-W. Bahk, J. Bromage, I. A. Begishev, C. Mileham, C. Stoeckl, M. Storm, and J. D. Zuegel, “On-shot focal-spot characterization technique using phase retrieval,” Appl. Opt.47(25), 4589–4597 (2008).
[CrossRef] [PubMed]

J. Bromage, S.-W. Bahk, D. Irwin, J. Kwiatkowski, A. Pruyne, M. Millecchia, M. Moore, and J. D. Zuegel, “A focal-spot diagnostic for on-shot characterization of high-energy petawatt lasers,” Opt. Express16(21), 16561–16572 (2008).
[PubMed]

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Bunkenburg, J.

Canning, D.

Dalton, S.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Fienup, J. R.

Folnsbee, L.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Gelatt, C. D.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.)35, 237–246 (1972).

Guardalben, M. J.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Irwin, D.

Jungquist, R.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Kalb, A.

Kelly, J. H.

J. Qiao, A. Kalb, T. Nguyen, J. Bunkenburg, D. Canning, and J. H. Kelly, “Demonstration of large-aperture tiled-grating compressors for high-energy, petawatt-class, chirped-pulse amplification systems,” Opt. Lett.33(15), 1684–1686 (2008).
[CrossRef] [PubMed]

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Kessler, T. J.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Kirkpatrick, S.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

Kruschwitz, B. E.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Kwiatkowski, J.

Loucks, S. J.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Maywar, D. N.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

McCrory, R. L.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Meyerhofer, D. D.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Mileham, C.

Millecchia, M.

Moore, M.

Morse, S. F. B.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Nguyen, T.

Oliver, J. B.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Pruyne, A.

Puth, J.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Qiao, J.

Rigatti, A. L.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.)35, 237–246 (1972).

Schmid, A. W.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Shoup, M. J.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Stoeckl, C.

S.-W. Bahk, J. Bromage, I. A. Begishev, C. Mileham, C. Stoeckl, M. Storm, and J. D. Zuegel, “On-shot focal-spot characterization technique using phase retrieval,” Appl. Opt.47(25), 4589–4597 (2008).
[CrossRef] [PubMed]

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Storm, M.

Vecchi, M. P.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

Waxer, L. J.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Weiner, D.

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Xu, B.

Yang, P.

Yuan, X.

Zuegel, J. D.

S.-W. Bahk, J. Bromage, I. A. Begishev, C. Mileham, C. Stoeckl, M. Storm, and J. D. Zuegel, “On-shot focal-spot characterization technique using phase retrieval,” Appl. Opt.47(25), 4589–4597 (2008).
[CrossRef] [PubMed]

J. Bromage, S.-W. Bahk, D. Irwin, J. Kwiatkowski, A. Pruyne, M. Millecchia, M. Moore, and J. D. Zuegel, “A focal-spot diagnostic for on-shot characterization of high-energy petawatt lasers,” Opt. Express16(21), 16561–16572 (2008).
[PubMed]

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Appl. Opt.

J. Phys. IV France

J. H. Kelly, L. J. Waxer, V. Bagnoud, I. A. Begishev, J. Bromage, B. E. Kruschwitz, T. J. Kessler, S. J. Loucks, D. N. Maywar, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, J. B. Oliver, A. L. Rigatti, A. W. Schmid, C. Stoeckl, S. Dalton, L. Folnsbee, M. J. Guardalben, R. Jungquist, J. Puth, M. J. Shoup, D. Weiner, and J. D. Zuegel, “OMEGA EP: High-energy petawatt capability for the OMEGA Laser Facility,” J. Phys. IV France133, 75–80 (2006).
[CrossRef]

Opt. Express

Opt. Lett.

Optik (Stuttg.)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.)35, 237–246 (1972).

Science

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

Other

Imagine Optic SA, 91400 Orsay, France.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968), pp. 48–54.

W. H. Press, Numerical Recipes in C: The Art of Scientific Computing (Cambridge University Press, 1988), Chap. 10.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1
Fig. 1

Diagram of final optics in the short-pulse OMEGA EP system showing focal-spot diagnostics. WFS: wavefront sensor; CCD: charge-coupled device

Fig. 2
Fig. 2

The effect of retrieving the differential piston phase on FSD prediction. The cross-correlation between the FSD and far-field (FF) CCD focal spots for a monochromatic beam is plotted for a varying number of beam segments. The mean and range of six measurements for each configuration are displayed.

Fig. 3
Fig. 3

Block diagram of the modal phase-retrieval algorithm used for measuring the diagnostic wavefront error.

Fig. 4
Fig. 4

Effect of chromatic aberrations on focusing is displayed in the far-field CCD images plotted on a logarithmic scale, using (a) a narrowband laser source and (b) a broadband (8-nm spectral width) OPCPA source.

Fig. 5
Fig. 5

Estimation of chromatic effects on focal-spot structure. (a) Initial estimate of diagnostic-beam focal spot based on monochromatic propagation from near-field intensity and wavefront. (b) Measured diagnostic-beam focal spot from far-field CCD. (c) Chromatic transfer function obtained by dividing the envelopes of the Fourier transforms of the focal spot in (a) by that in (b) and averaging over a population of shots. (d) Resulting estimate of focal spot when the chromatic transfer function in (c) is applied to the calculated focal spot in (a).

Fig. 6
Fig. 6

An example of improved focal-spot prediction of the sample beam. (a) The direct focal spot measured by the far-field CCD, (b) the initial FSD prediction (cross-correlation = 0.71), and (c) the improved FSD prediction (cross-correlation = 0.95).

Fig. 7
Fig. 7

Histograms illustrating the effect of phase-retrieval improvements on a large population of measurements. (a) Sample-beam focal-spot accuracy showing cross-correlation between the FSD prediction and the far-field CCD measurement. (b) Main-beam focal-spot accuracy showing cross-correlation between the FSD prediction and the focal spot microscope (FSM) measurement.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

C= max Δx,Δy [ F FSD ( xΔx,yΔy ) F CCD ( x,y )dxdy [ ( F FSD 2 dxdy )( F CCD 2 dxdy ) ] 1/2 ],
rss error= { [ F FSD ( x,y ) F CCD ( x,y ) ] 2 dxdy } 1/2 ,
H( η,γ )= | F { I bb ( f x , f y ) } f x η f y γ | | F { I mono ( f x , f y ) } f x η f y γ |

Metrics