Abstract

A high-resolution, high-precision beam-shaping system for high-power-laser systems is demonstrated. A liquid-crystal-on-silicon spatial light modulator is run in closed-loop to shape laser-beam amplitude and wavefront. An unprecedented degree of convergence is demonstrated, and important practical issues are discussed. Wavefront shaping for the applications in OMEGA EP laser is demonstrated, and other interesting examples are presented.

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2009

2008

2007

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 France 133, 75–80 (2006).
[CrossRef]

2005

V. Bagnoud, M. J. Guardalben, J. Puth, J. D. Zuegel, T. Mooney, and P. Dumas, “High-energy, high-average-power laser with Nd:YLF rods corrected by magnetorheological finishing,” Appl. Opt. 44(2), 282–288 (2005).
[CrossRef] [PubMed]

S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, “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(7), 823–832 (2005).
[CrossRef]

2004

B. Wattellier, J. Fuchs, J. P. Zou, K. Abdeli, C. Haefner, and H. Pépin, “High-power short-pulse laser repetition rate improvement by adaptive wave front correction,” Rev. Sci. Instrum. 75(12), 5186–5192 (2004).
[CrossRef]

V. Bagnoud and J. D. Zuegel, “Independent phase and amplitude control of a laser beam by use of a single-phase-only spatial light modulator,” Opt. Lett. 29(3), 295–297 (2004).
[CrossRef] [PubMed]

1998

1996

1994

1972

1971

1966

1962

L. G. Roberts, “Picture coding using pseudo-random noise,” IRE T Inform. Theor. 8, 145–154 (1962).
[CrossRef]

Abdeli, K.

B. Wattellier, J. Fuchs, J. P. Zou, K. Abdeli, C. Haefner, and H. Pépin, “High-power short-pulse laser repetition rate improvement by adaptive wave front correction,” Rev. Sci. Instrum. 75(12), 5186–5192 (2004).
[CrossRef]

Alexandrov, A.

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 France 133, 75–80 (2006).
[CrossRef]

V. Bagnoud, M. J. Guardalben, J. Puth, J. D. Zuegel, T. Mooney, and P. Dumas, “High-energy, high-average-power laser with Nd:YLF rods corrected by magnetorheological finishing,” Appl. Opt. 44(2), 282–288 (2005).
[CrossRef] [PubMed]

V. Bagnoud and J. D. Zuegel, “Independent phase and amplitude control of a laser beam by use of a single-phase-only spatial light modulator,” Opt. Lett. 29(3), 295–297 (2004).
[CrossRef] [PubMed]

Bahk, S.-W.

S.-W. Bahk, J. D. Zuegel, J. R. Fienup, C. C. Widmayer, and J. Heebner, “Spot-shadowing optimization to mitigate damage growth in a high-energy-laser amplifier chain,” Appl. Opt. 47(35), 6586–6593 (2008).
[CrossRef] [PubMed]

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]

S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, “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(7), 823–832 (2005).
[CrossRef]

Baker, K. L.

Baldis, H.

Barty, C. P. J.

Begishev, I. A.

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 France 133, 75–80 (2006).
[CrossRef]

Bromage, 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 France 133, 75–80 (2006).
[CrossRef]

Brown, B. R.

Chanteloup, J.-C.

Chu, D. C.

Chvykov, V.

S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, “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(7), 823–832 (2005).
[CrossRef]

Cohn, R. W.

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 France 133, 75–80 (2006).
[CrossRef]

Dorrer, C.

Dumas, P.

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 France 133, 75–80 (2006).
[CrossRef]

Fourmaux, S.

Fuchs, J.

B. Wattellier, J. Fuchs, J. P. Zou, K. Abdeli, C. Haefner, and H. Pépin, “High-power short-pulse laser repetition rate improvement by adaptive wave front correction,” Rev. Sci. Instrum. 75(12), 5186–5192 (2004).
[CrossRef]

Goodman, J. W.

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 France 133, 75–80 (2006).
[CrossRef]

V. Bagnoud, M. J. Guardalben, J. Puth, J. D. Zuegel, T. Mooney, and P. Dumas, “High-energy, high-average-power laser with Nd:YLF rods corrected by magnetorheological finishing,” Appl. Opt. 44(2), 282–288 (2005).
[CrossRef] [PubMed]

Haefner, C.

B. Wattellier, J. Fuchs, J. P. Zou, K. Abdeli, C. Haefner, and H. Pépin, “High-power short-pulse laser repetition rate improvement by adaptive wave front correction,” Rev. Sci. Instrum. 75(12), 5186–5192 (2004).
[CrossRef]

Heebner, J.

Homoelle, D.

Huignard, J.-P.

Jones, A. L.

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 France 133, 75–80 (2006).
[CrossRef]

Kalintchenko, G.

S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, “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(7), 823–832 (2005).
[CrossRef]

Kelly, J. H.

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 France 133, 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 France 133, 75–80 (2006).
[CrossRef]

Kieffer, J. C.

Kirk, J. P.

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 France 133, 75–80 (2006).
[CrossRef]

Kudryashov, A.

Liang, M.

Lohmann, A. W.

Loiseaux, B.

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 France 133, 75–80 (2006).
[CrossRef]

Maksimchuk, A.

S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, “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(7), 823–832 (2005).
[CrossRef]

Malacara, D.

Marroquin, J. L.

Martin, F.

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 France 133, 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 France 133, 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 France 133, 75–80 (2006).
[CrossRef]

Migus, A.

Mooney, T.

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 France 133, 75–80 (2006).
[CrossRef]

Mourou, G.

S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, “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(7), 823–832 (2005).
[CrossRef]

J.-C. Chanteloup, H. Baldis, A. Migus, G. Mourou, B. Loiseaux, and J.-P. Huignard, “Nearly diffraction-limited laser focal spot obtained by use of an optically addressed light valve in an adaptive-optics loop,” Opt. Lett. 23(6), 475–477 (1998).
[CrossRef]

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 France 133, 75–80 (2006).
[CrossRef]

Ozaki, T.

Payeur, S.

Pépin, H.

B. Wattellier, J. Fuchs, J. P. Zou, K. Abdeli, C. Haefner, and H. Pépin, “High-power short-pulse laser repetition rate improvement by adaptive wave front correction,” Rev. Sci. Instrum. 75(12), 5186–5192 (2004).
[CrossRef]

Planchon, T. A.

S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, “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(7), 823–832 (2005).
[CrossRef]

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 France 133, 75–80 (2006).
[CrossRef]

V. Bagnoud, M. J. Guardalben, J. Puth, J. D. Zuegel, T. Mooney, and P. Dumas, “High-energy, high-average-power laser with Nd:YLF rods corrected by magnetorheological finishing,” Appl. Opt. 44(2), 282–288 (2005).
[CrossRef] [PubMed]

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 France 133, 75–80 (2006).
[CrossRef]

Roberts, L. G.

L. G. Roberts, “Picture coding using pseudo-random noise,” IRE T Inform. Theor. 8, 145–154 (1962).
[CrossRef]

Rousseau, P.

S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, “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(7), 823–832 (2005).
[CrossRef]

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 France 133, 75–80 (2006).
[CrossRef]

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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 France 133, 75–80 (2006).
[CrossRef]

Siders, C. W.

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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 France 133, 75–80 (2006).
[CrossRef]

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Wattellier, B.

B. Wattellier, J. Fuchs, J. P. Zou, K. Abdeli, C. Haefner, and H. Pépin, “High-power short-pulse laser repetition rate improvement by adaptive wave front correction,” Rev. Sci. Instrum. 75(12), 5186–5192 (2004).
[CrossRef]

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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 France 133, 75–80 (2006).
[CrossRef]

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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 France 133, 75–80 (2006).
[CrossRef]

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S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, “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(7), 823–832 (2005).
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B. Wattellier, J. Fuchs, J. P. Zou, K. Abdeli, C. Haefner, and H. Pépin, “High-power short-pulse laser repetition rate improvement by adaptive wave front correction,” Rev. Sci. Instrum. 75(12), 5186–5192 (2004).
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Figures (14)

Fig. 1
Fig. 1

The surface wavefront error of the SLM has been corrected by an MRF phase plate within 0.18 waves peak-to-valley per pass. (a) Desired optical-path difference (OPD) map in μm for cancelling out the surface error; (b) the OPD map of the MRF phase plate in μm; (c) the difference between the designed and the phase plate.

Fig. 2
Fig. 2

Simulation of the effect of spatial misregistration. The staircase beam is shaped with (a) perfect registration, (b) 2.3% magnification error, (c) 90-μm translation error, and (d) 21-mrad rotation error.

Fig. 3
Fig. 3

Digitization effect in flat-wavefront shaping. The isolated region is visible in (a), which indicates a digitization effect; whereas in (b), the command map is dithered and the isolated region disappears.

Fig. 4
Fig. 4

Illustration of algorithm-dependent frequency-response effects. The frequency response of Hudgin, Fried, and Southwell reconstructors is shown on the left as well as that of the band-limited reconstructor. A signal oscillating at a spatial frequency of 80% of the sensor’s sampling limit is reconstructed through a Shack–Hartmann sensor. The effects of attenuation or amplification are shown according to different reconstructors.

Fig. 5
Fig. 5

Algorithm overview of (a) amplitude and (b) wavefront shaping.

Fig. 6
Fig. 6

Experimental setup using a cw source.

Fig. 7
Fig. 7

Initial cw beam profile. (a) fluence and (b) wavefront.

Fig. 8
Fig. 8

Amplitude-shaping results. (a) flat, (b) flat, lineout, (c) Gaussian, (d) Gaussian, lineout, (e) gain precompensation, (f) gain precompensation lineout, (g) ramp, and (h) ramp lineout.

Fig. 9
Fig. 9

Wavefront-shaping results. (a) Gaussian spot, (b) Gaussian spot, lineout, (c) defocus, and (d) defocus, lineout.

Fig. 10
Fig. 10

Field-shaping results (simultaneous amplitude and wavefront shaping). (a) flat amplitude, (b) flat amplitude, lineout, (c) flat wavefront, and (d) flat wavefront, lineout.

Fig. 11
Fig. 11

Experimental setup using a ns-pulse laser source.

Fig. 12
Fig. 12

Initial profile of the ns-pulse beam before shaping. (a) initial fluence and (b) initial wavefront.

Fig. 13
Fig. 13

Field-shaping results with a regenerative amplifier beam (simultaneous amplitude and wavefront shaping). (a) flat amplitude, (b) flat amplitude, lineout, (c) flat wavefront, and (d) flat wavefront, lineout.

Fig. 14
Fig. 14

(a) Residual wavefront after DM correction; (b) encircled energy comparison; (c) log-scale focal-spot distribution with the residual wavefront error; (d) wavefront difference calculated from the measured beam-shaping result.

Tables (1)

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Table 1 Comparisons in the closed-loop control method.

Equations (7)

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E out = E in cos ( χ 2 ) exp ( i ϕ )
    = E in cos ( ψ 1 ψ 2 2 ) exp ( i ψ 1 + ψ 2 2 ) ,
χ n + 1 = cos 1 ( 2 F obj ˜ / F n ˜ 1 )
χ n + 1 = χ n ± ( unit phase )
ϕ n + 1 = ϕ n + g ( W obj ˜ W n ˜ ) ,
E out = E in ( 1 2 d 0 ) exp ( i ϕ ) ,
σ ( F 1 , F 2 ) = i ROI N [ F 1 ( i ) / F 2 ( i ) 1 ] 2 / ( N 1 )     ,

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