Abstract

We demonstrate a high-power laser system with a high-quality near-field beam by using a liquid-crystal spatial light modulator (SLM). An efficient spatial beam shaping algorithm is discussed which can improve the output nearfield beam quality effectively. Both small-signal and large-signal amplification situation of the laser are considered in the beam shaping algorithm. The experimental results show that the near field fluence modulation of output is improved from 1.99:1 to 1.26:1 by using the liquid-crystal SLM. Obvious uniform spatial fluence distribution and near-field beam quality improvement are observed.

© 2015 Optical Society of America

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References

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2014 (3)

2013 (4)

T. Z. Zhao, J. Yu, C. Y. Li, K. Huang, Y. F. Ma, X. X. Tang, and Z. W. Fan, “Beam shaping and compensation for high-gain Nd:glass amplification,” J. Mod. Opt. 60(2), 109–115 (2013).
[Crossref]

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

Y. F. Cai, Z. W. Lu, S. S. Li, Y. L. Wang, C. Y. Zhu, D. Y. Lin, and W. M. He, “Systematic studies on the field enhancement effect of Hertzian microcracks,” Acta. Phys. Sin. 62(23), 234203 (2013).

2012 (3)

2010 (2)

2009 (1)

2008 (5)

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]

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

J. Ebrardt and J. M. Chaput, “LMJ Project status,” J. Phys. Conf. Ser. 112(3), 032005 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

2007 (2)

2006 (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 133, 75–80 (2006).
[Crossref]

2005 (2)

N. Fleurot, C. Cavailler, and J. L. Bourgade, “The Laser Megajoule (LMJ) Project dedicated to inertial confinement fusion: Development and construction status,” Fusion Eng. Des. 74(1-4), 147–154 (2005).
[Crossref]

C. Cavailler, “Inertial fusion with the LMJ,” Plasma Phys. Contr. Fusion 47(12B), B389–B403 (2005).
[Crossref]

2004 (3)

G. H. Miller, E. I. Moses, and C. R. Wuest, “The National Ignition Facility: enabling fusion ignition for the 21st century,” Nucl. Fusion 44(12), S228–S238 (2004).
[Crossref]

B. M. V. Wonterghem, S. C. Burkhart, C. A. Haynam, K. R. Manes, C. D. Marshall, J. E. Murray, M. L. Spaeth, D. R. Speck, S. B. Sutton, and P. J. Wegner, “National Ignition Facility commissioning and performance,” Proc. SPIE 5341, 55–65 (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]

2002 (1)

2001 (2)

1989 (1)

Abdulla, G. M.

Auerbach, J. M.

Awwal, A. A. S.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

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 133, 75–80 (2006).
[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]

Bahk, S.-W.

S.-W. Bahk, I. A. Begishev, and J. D. Zuegel, “Precompensation of gain nonuniformity in a Nd:glass amplifier using a programmable beam-shaping system,” Opt. Commun. 333, 45–52 (2014).
[Crossref]

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

S.-W. Bahk, E. Fess, B. E. Kruschwitz, and J. D. Zuegel, “A high-resolution, adaptive beam-shaping system for high-power lasers,” Opt. Express 18(9), 9151–9163 (2010).
[PubMed]

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]

Barczys, M.

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

Begishev, I. A.

S.-W. Bahk, I. A. Begishev, and J. D. Zuegel, “Precompensation of gain nonuniformity in a Nd:glass amplifier using a programmable beam-shaping system,” Opt. Commun. 333, 45–52 (2014).
[Crossref]

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Bernet, S.

Bin, F.

Bourderionnet, J.

Bourgade, J. L.

N. Fleurot, C. Cavailler, and J. L. Bourgade, “The Laser Megajoule (LMJ) Project dedicated to inertial confinement fusion: Development and construction status,” Fusion Eng. Des. 74(1-4), 147–154 (2005).
[Crossref]

Bowers, M. W.

Brignon, A.

Bromage, J.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Brunton, G.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Bude, J.

Bunkenburg, J.

Burkhalter, P. G.

Burkhart, S. C.

B. M. V. Wonterghem, S. C. Burkhart, C. A. Haynam, K. R. Manes, C. D. Marshall, J. E. Murray, M. L. Spaeth, D. R. Speck, S. B. Sutton, and P. J. Wegner, “National Ignition Facility commissioning and performance,” Proc. SPIE 5341, 55–65 (2004).
[Crossref]

Cai, Y. F.

Y. F. Cai, Z. W. Lu, S. S. Li, Y. L. Wang, C. Y. Zhu, D. Y. Lin, and W. M. He, “Systematic studies on the field enhancement effect of Hertzian microcracks,” Acta. Phys. Sin. 62(23), 234203 (2013).

Carr, C. W.

Cavailler, C.

N. Fleurot, C. Cavailler, and J. L. Bourgade, “The Laser Megajoule (LMJ) Project dedicated to inertial confinement fusion: Development and construction status,” Fusion Eng. Des. 74(1-4), 147–154 (2005).
[Crossref]

C. Cavailler, “Inertial fusion with the LMJ,” Plasma Phys. Contr. Fusion 47(12B), B389–B403 (2005).
[Crossref]

Chanteloup, J. C.

Chaput, J. M.

J. Ebrardt and J. M. Chaput, “LMJ Project status,” J. Phys. Conf. Ser. 112(3), 032005 (2008).
[Crossref]

Chase, L. L.

Chen, Y. Y.

Chu, S. C.

Coppenbarger, D.

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

Cross, D. A.

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 133, 75–80 (2006).
[Crossref]

Delboulbé, A.

DiNicola, J. M.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Dixit, S.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Dixit, S. N.

Dongxia, H.

Dorrer, C.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

C. Dorrer and J. D. Zuegel, “Design and analysis of binary beam shapers using error diffusion,” J. Opt. Soc. Am. B 24(6), 1268–1275 (2007).
[Crossref]

Ebrardt, J.

J. Ebrardt and J. M. Chaput, “LMJ Project status,” J. Phys. Conf. Ser. 112(3), 032005 (2008).
[Crossref]

Edwards, J. L.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

Erbert, G. V.

Fallejo, R.

Fan, D.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Fan, Z. W.

T. Z. Zhao, J. Yu, C. Y. Li, K. Huang, Y. F. Ma, X. X. Tang, and Z. W. Fan, “Beam shaping and compensation for high-gain Nd:glass amplification,” J. Mod. Opt. 60(2), 109–115 (2013).
[Crossref]

Feng, B.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

Feng, J.

Fess, E.

Fienup, J. R.

Fleurot, N.

N. Fleurot, C. Cavailler, and J. L. Bourgade, “The Laser Megajoule (LMJ) Project dedicated to inertial confinement fusion: Development and construction status,” Fusion Eng. Des. 74(1-4), 147–154 (2005).
[Crossref]

Folnsbee, L.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Fuh, A. Y. G.

Gaylord, J.

Génin, F. Y.

Guardalben, M. J.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Guo, L.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Hardy, C.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Haynam, C. A.

He, H.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

He, S.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

He, W. M.

Y. F. Cai, Z. W. Lu, S. S. Li, Y. L. Wang, C. Y. Zhu, D. Y. Lin, and W. M. He, “Systematic studies on the field enhancement effect of Hertzian microcracks,” Acta. Phys. Sin. 62(23), 234203 (2013).

Heebner, J.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

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]

Heestand, G. M.

Henesian, M. A.

Hermann, M.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Hermann, M. R.

Hill, E.

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

Hinterman, T. H.

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

Hu, D.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Huang, K.

T. Z. Zhao, J. Yu, C. Y. Li, K. Huang, Y. F. Ma, X. X. Tang, and Z. W. Fan, “Beam shaping and compensation for high-gain Nd:glass amplification,” J. Mod. Opt. 60(2), 109–115 (2013).
[Crossref]

Huang, Y. H.

Huignard, J.-P.

Jacobs, S. D.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

Jancaitis, K. S.

Jau, H. C.

Jesacher, A.

Jiang, X.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Jing, F.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

Jungquist, R.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Junpu, Z.

Kelly, J. H.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Kessler, T. J.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Kidder, R. W.

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

Kingsley, C.

Knauer, J. P.

Ko, S. W.

Kozlov, A.

Kruschwitz, B. E.

S.-W. Bahk, E. Fess, B. E. Kruschwitz, and J. D. Zuegel, “A high-resolution, adaptive beam-shaping system for high-power lasers,” Opt. Express 18(9), 9151–9163 (2010).
[PubMed]

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Kun, Z.

Li, C. Y.

T. Z. Zhao, J. Yu, C. Y. Li, K. Huang, Y. F. Ma, X. X. Tang, and Z. W. Fan, “Beam shaping and compensation for high-gain Nd:glass amplification,” J. Mod. Opt. 60(2), 109–115 (2013).
[Crossref]

Li, F.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Li, M.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

Li, S. S.

Y. F. Cai, Z. W. Lu, S. S. Li, Y. L. Wang, C. Y. Zhu, D. Y. Lin, and W. M. He, “Systematic studies on the field enhancement effect of Hertzian microcracks,” Acta. Phys. Sin. 62(23), 234203 (2013).

Li, X.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Liao, Z. M.

Lin, D. Y.

Y. F. Cai, Z. W. Lu, S. S. Li, Y. L. Wang, C. Y. Zhu, D. Y. Lin, and W. M. He, “Systematic studies on the field enhancement effect of Hertzian microcracks,” Acta. Phys. Sin. 62(23), 234203 (2013).

Lin, T. H.

Loiseaux, B.

Loucks, S. J.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Lu, Z. W.

Y. F. Cai, Z. W. Lu, S. S. Li, Y. L. Wang, C. Y. Zhu, D. Y. Lin, and W. M. He, “Systematic studies on the field enhancement effect of Hertzian microcracks,” Acta. Phys. Sin. 62(23), 234203 (2013).

Ma, C.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Ma, P.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Ma, Y. F.

T. Z. Zhao, J. Yu, C. Y. Li, K. Huang, Y. F. Ma, X. X. Tang, and Z. W. Fan, “Beam shaping and compensation for high-gain Nd:glass amplification,” J. Mod. Opt. 60(2), 109–115 (2013).
[Crossref]

Manes, K. R.

Marciante, J. R.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

Marshall, C. D.

Marte, M. R.

Matone, J.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Maywar, D. N.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

McCrory, R. L.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Mehta, N. C.

Menapace, J.

Meyerhofer, D. D.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Migus, A.

Miller, G. H.

G. H. Miller, E. I. Moses, and C. R. Wuest, “The National Ignition Facility: enabling fusion ignition for the 21st century,” Nucl. Fusion 44(12), S228–S238 (2004).
[Crossref]

Morse, S. F. B.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Moses, E.

Moses, E. I.

G. H. Miller, E. I. Moses, and C. R. Wuest, “The National Ignition Facility: enabling fusion ignition for the 21st century,” Nucl. Fusion 44(12), S228–S238 (2004).
[Crossref]

Murray, J. E.

B. M. V. Wonterghem, S. C. Burkhart, C. A. Haynam, K. R. Manes, C. D. Marshall, J. E. Murray, M. L. Spaeth, D. R. Speck, S. B. Sutton, and P. J. Wegner, “National Ignition Facility commissioning and performance,” Proc. SPIE 5341, 55–65 (2004).
[Crossref]

Murray, J. R.

Negres, R. A.

Newman, D. A.

Nguyen, T.

Nostrand, M. C.

Okishev, A. V.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

Oliver, J. B.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Orth, C.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Orth, C. D.

Patterson, R.

Paul, M.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Peng, Z.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Pien, G.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

Pistor, T. V.

Puth, J.

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Qiao, J.

J. Qiao, A. W. Schmid, L. J. Waxer, T. Nguyen, J. Bunkenburg, C. Kingsley, A. Kozlov, and D. Weiner, “In situ detection and analysis of laser-induced damage on a 1.5-m multilayer-dielectric grating compressor for high-energy, petawatt-class laser systems,” Opt. Express 18(10), 10423–10431 (2010).
[PubMed]

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

Raymond, B.

Rever, M.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Rigatti, A. L.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Runchang, Z.

Sacks, R. A.

Salleo, A.

Sauteret, C.

Schmid, A. W.

J. Qiao, A. W. Schmid, L. J. Waxer, T. Nguyen, J. Bunkenburg, C. Kingsley, A. Kozlov, and D. Weiner, “In situ detection and analysis of laser-induced damage on a 1.5-m multilayer-dielectric grating compressor for high-energy, petawatt-class laser systems,” Opt. Express 18(10), 10423–10431 (2010).
[PubMed]

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Shaw, M. J.

Shoup, M. J.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Spaeth, M.

Spaeth, M. L.

B. M. V. Wonterghem, S. C. Burkhart, C. A. Haynam, K. R. Manes, C. D. Marshall, J. E. Murray, M. L. Spaeth, D. R. Speck, S. B. Sutton, and P. J. Wegner, “National Ignition Facility commissioning and performance,” Proc. SPIE 5341, 55–65 (2004).
[Crossref]

Speck, D. R.

B. M. V. Wonterghem, S. C. Burkhart, C. A. Haynam, K. R. Manes, C. D. Marshall, J. E. Murray, M. L. Spaeth, D. R. Speck, S. B. Sutton, and P. J. Wegner, “National Ignition Facility commissioning and performance,” Proc. SPIE 5341, 55–65 (2004).
[Crossref]

Spilatro, M.

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

Stoeckl, C.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Su, J.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Sui, Z.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Sutton, S. B.

Tang, X. X.

T. Z. Zhao, J. Yu, C. Y. Li, K. Huang, Y. F. Ma, X. X. Tang, and Z. W. Fan, “Beam shaping and compensation for high-gain Nd:glass amplification,” J. Mod. Opt. 60(2), 109–115 (2013).
[Crossref]

Thorp, K. A.

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

Touris, T.

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

Tse, E.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Van Wonterghem, B. M.

Wang, J.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Wang, Y. L.

Y. F. Cai, Z. W. Lu, S. S. Li, Y. L. Wang, C. Y. Zhu, D. Y. Lin, and W. M. He, “Systematic studies on the field enhancement effect of Hertzian microcracks,” Acta. Phys. Sin. 62(23), 234203 (2013).

Wanjun, D.

Wattellier, B.

Waxer, L. J.

J. Qiao, A. W. Schmid, L. J. Waxer, T. Nguyen, J. Bunkenburg, C. Kingsley, A. Kozlov, and D. Weiner, “In situ detection and analysis of laser-induced damage on a 1.5-m multilayer-dielectric grating compressor for high-energy, petawatt-class laser systems,” Opt. Express 18(10), 10423–10431 (2010).
[PubMed]

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

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 133, 75–80 (2006).
[Crossref]

Wegner, P.

Wegner, P. J.

Wei, X.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Wei, Z.

Weiner, D.

J. Qiao, A. W. Schmid, L. J. Waxer, T. Nguyen, J. Bunkenburg, C. Kingsley, A. Kozlov, and D. Weiner, “In situ detection and analysis of laser-induced damage on a 1.5-m multilayer-dielectric grating compressor for high-energy, petawatt-class laser systems,” Opt. Express 18(10), 10423–10431 (2010).
[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 133, 75–80 (2006).
[Crossref]

White, R. K.

Widmayer, C. C.

Williams, W. H.

Wonterghem, B. M. V.

B. M. V. Wonterghem, S. C. Burkhart, C. A. Haynam, K. R. Manes, C. D. Marshall, J. E. Murray, M. L. Spaeth, D. R. Speck, S. B. Sutton, and P. J. Wegner, “National Ignition Facility commissioning and performance,” Proc. SPIE 5341, 55–65 (2004).
[Crossref]

Wu, D.

Wuest, C. R.

G. H. Miller, E. I. Moses, and C. R. Wuest, “The National Ignition Facility: enabling fusion ignition for the 21st century,” Nucl. Fusion 44(12), S228–S238 (2004).
[Crossref]

Xu, Q.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Xuejun, J.

Yang, D.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

Yang, L.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Yang, S.

A. A. S. Awwal, C. Orth, E. Tse, J. Matone, M. Paul, C. Hardy, G. Brunton, M. Hermann, S. Yang, J. M. DiNicola, M. Rever, S. Dixit, and J. Heebner, “Image processing and control of a programmable spatial light modulator for spatial beam shaping,” Proc. SPIE 8602, 86020A (2013).
[Crossref]

Yang, S. T.

Yu, H.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Yu, J.

T. Z. Zhao, J. Yu, C. Y. Li, K. Huang, Y. F. Ma, X. X. Tang, and Z. W. Fan, “Beam shaping and compensation for high-gain Nd:glass amplification,” J. Mod. Opt. 60(2), 109–115 (2013).
[Crossref]

Yuan, X.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Zeping, Y.

Zhang, W.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Zhang, X.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Zhao, R.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Zhao, T. Z.

T. Z. Zhao, J. Yu, C. Y. Li, K. Huang, Y. F. Ma, X. X. Tang, and Z. W. Fan, “Beam shaping and compensation for high-gain Nd:glass amplification,” J. Mod. Opt. 60(2), 109–115 (2013).
[Crossref]

Zheng, K.

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Zheng, W.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

Zhitao, P.

Zhou, H.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

H. Yu, F. Jing, X. Wei, W. Zheng, X. Zhang, Z. Sui, M. Li, D. Hu, S. He, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, J. Su, R. Zhao, D. Yang, K. Zheng, and X. Yuan, “Status of prototype of SG-III high-power solid-state laser,” Proc. SPIE 7131, 713112 (2008).
[Crossref]

Zhu, C. Y.

Y. F. Cai, Z. W. Lu, S. S. Li, Y. L. Wang, C. Y. Zhu, D. Y. Lin, and W. M. He, “Systematic studies on the field enhancement effect of Hertzian microcracks,” Acta. Phys. Sin. 62(23), 234203 (2013).

Zhu, Q.

X. Zhang, W. Zheng, X. Wei, F. Jing, Z. Sui, K. Zheng, Q. Xu, X. Yuan, X. Jiang, L. Yang, P. Ma, M. Li, J. Wang, D. Hu, S. He, F. Li, Z. Peng, B. Feng, H. Zhou, L. Guo, X. Li, X. Zhang, J. Su, Q. Zhu, H. Yu, R. Zhao, C. Ma, H. He, D. Fan, and W. Zhang, “The TIL commissioning and performance,” J. Phys. Conf. Ser. 112, 032008 (2008).

Zuegel, J. D.

S.-W. Bahk, I. A. Begishev, and J. D. Zuegel, “Precompensation of gain nonuniformity in a Nd:glass amplifier using a programmable beam-shaping system,” Opt. Commun. 333, 45–52 (2014).
[Crossref]

M. Barczys, S.-W. Bahk, M. Spilatro, D. Coppenbarger, E. Hill, T. H. Hinterman, R. W. Kidder, J. Puth, T. Touris, and J. D. Zuegel, “Deployment of a spatial light modulator–based beam-shaping system on the OMEGA EP laser,” Proc. SPIE 8602, 86020F (2013).
[Crossref]

S.-W. Bahk, E. Fess, B. E. Kruschwitz, and J. D. Zuegel, “A high-resolution, adaptive beam-shaping system for high-power lasers,” Opt. Express 18(9), 9151–9163 (2010).
[PubMed]

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]

D. N. Maywar, J. H. Kelly, L. J. Waxer, S. F. B. Morse, I. A. Begishev, J. Bromage, C. Dorrer, J. L. Edwards, L. Folnsbee, M. J. Guardalben, S. D. Jacobs, R. Jungquist, T. J. Kessler, R. W. Kidder, B. E. Kruschwitz, S. J. Loucks, J. R. Marciante, R. L. McCrory, D. D. Meyerhofer, A. V. Okishev, J. B. Oliver, G. Pien, J. Qiao, J. Puth, A. L. Rigatti, A. W. Schmid, M. J. Shoup, C. Stoeckl, K. A. Thorp, and J. D. Zuegel, “OMEGA EP high-energy petawatt laser: Progress and prospects,” J. Phys. Conf. Ser. 112, 032007 (2008).

C. Dorrer and J. D. Zuegel, “Design and analysis of binary beam shapers using error diffusion,” J. Opt. Soc. Am. B 24(6), 1268–1275 (2007).
[Crossref]

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 133, 75–80 (2006).
[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]

Acta. Phys. Sin. (1)

Y. F. Cai, Z. W. Lu, S. S. Li, Y. L. Wang, C. Y. Zhu, D. Y. Lin, and W. M. He, “Systematic studies on the field enhancement effect of Hertzian microcracks,” Acta. Phys. Sin. 62(23), 234203 (2013).

Appl. Opt. (4)

Fusion Eng. Des. (1)

N. Fleurot, C. Cavailler, and J. L. Bourgade, “The Laser Megajoule (LMJ) Project dedicated to inertial confinement fusion: Development and construction status,” Fusion Eng. Des. 74(1-4), 147–154 (2005).
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J. Mod. Opt. (1)

T. Z. Zhao, J. Yu, C. Y. Li, K. Huang, Y. F. Ma, X. X. Tang, and Z. W. Fan, “Beam shaping and compensation for high-gain Nd:glass amplification,” J. Mod. Opt. 60(2), 109–115 (2013).
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J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (2)

J. Phys. Conf. Ser. (3)

J. Ebrardt and J. M. Chaput, “LMJ Project status,” J. Phys. Conf. Ser. 112(3), 032005 (2008).
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J. Phys. IV (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 133, 75–80 (2006).
[Crossref]

Nucl. Fusion (1)

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[Crossref]

Opt. Commun. (1)

S.-W. Bahk, I. A. Begishev, and J. D. Zuegel, “Precompensation of gain nonuniformity in a Nd:glass amplifier using a programmable beam-shaping system,” Opt. Commun. 333, 45–52 (2014).
[Crossref]

Opt. Express (5)

Opt. Lett. (4)

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Proc. SPIE (4)

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[Crossref]

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Other (1)

J. H. Mathews and K. D. Fink, Numerical Methods Using MATLAB (Prentice Hall, 1999), Chap. 2.

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Figures (9)

Fig. 1
Fig. 1 Schematic view of the spatial beam shaping system of the high-power laser system.
Fig. 2
Fig. 2 The process of spatial beam shaping. H(x,y) is the transfer function of the laser system and GSLM is a coefficient used for adjusting the whole transmission of the SLM and then the output energy.
Fig. 3
Fig. 3 The iteration process of the local beam shaping in the case of the large-signal amplification. Sj refers to various gray scale images, j = 0 initial, j = 1, 1st iteration, etc. Sf refers to the final gray scale image. IO0 and IOf refer to the initial and aimed fluence distribution, respectively.
Fig. 4
Fig. 4 High-power laser system schematic. The blue two-direction arrow real line refers to the image relay plane. P1-P9, polarizers; CSF (cavity spatial filter) and TSF (transport spatial filter).
Fig. 5
Fig. 5 The laser beam near-field profile measured by CCD of the output without spatial beam shaping system. The original gray-scale image (a), the three-dimensional distribution (b) and the lineout gray distribution (c).
Fig. 6
Fig. 6 Definition diagram for the edge-softening factor.
Fig. 7
Fig. 7 Results of the output near-field lineout fluence distribution (a) and the near field modulation factor (b) in the process of spatial beam shaping with SLM work.
Fig. 8
Fig. 8 Results of the initial and the final output nearfield by SLM adaptive spatial beam shaping. The original near-field profile of the output laser beam of the initial (a) and final (b) spatial beam shaping with SLM; the near-field three-dimensional distribution of the initial (c) and final (d) shaping.
Fig. 9
Fig. 9 Initial and final probability density function (PDF) for near-field fluence data with the contrast of 29% and 9%, respectively.

Equations (6)

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IP(x,y) T SLM (x,y) T A (x,y)G(x,y) T D (x,y)=IO(x,y).
T SLM (x,y)=S(x,y) C SLM .
H(x,y)=IP(x,y) C SLM T A (x,y)G(x,y) T D (x,y).
S(x,y)H(x,y)=IO(x,y).
S 1 (x,y)= I O f (x,y) H(x,y) G SLM .
S j+1 (x,y)= S j (x,y) I O j (x,y) I O f (x,y) G SLM .

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