Abstract

Making use of the stretching effect of grazing incident laser beam, a novel method of wavefront correction was promoted. Without adding any extra beam expanding components, aberrations of wavefront could achieve satisfying correction by two grazing reflections along orthogonal directions on the deformable mirrors. The stretching effect expanded the beam size along grazing direction and the orientation dependent varying aberrations were well compensated as more actuators took effect in the correction process. Analysis showed that the fitting coefficient of all the first 30 order Zernike polynomials could be controlled within 5% by this method.

© 2013 Optical Society of America

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    [Crossref]
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2013 (3)

2012 (3)

2010 (1)

2008 (2)

W. Lubeigt, G. Valentine, and D. Burns, “Enhancement of laser performance using an intracavity deformable membrane mirror,” Opt. Express 16(15), 10943–10955 (2008).
[Crossref] [PubMed]

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

2007 (4)

P. Yang, Y. Liu, W. Yang, M.-W. Ao, S.-J. Hu, B. Xu, and W.-H. Jiang, “Adaptive mode optimization of a continuous-wave solid-state laser using an intracavity piezoelectric deformable mirror,” Opt. Commun. 278(2), 377–381 (2007).
[Crossref]

F. He, M. Gong, L. Huang, Q. Liu, Q. Wang, and X. Yan, “Compact TEM00 grazing-incidence Nd:GdVO4 laser using a folded cavity,” Appl. Phys. B 86(3), 447–450 (2007).
[Crossref]

H. Yang, G. Liu, C. Rao, Y. Zhang, and W. Jiang, “Combinational-deformable-mirror adaptive optics system for compensation of high-order modes of wavefront,” Chin. Opt. Lett. 5, 435–437 (2007).

D. Brousseau, E. F. Borra, and S. Thibault, “Wavefront correction with a 37-actuator ferrofluid deformable mirror,” Opt. Express 15(26), 18190–18199 (2007).
[Crossref] [PubMed]

2006 (1)

2004 (1)

2002 (1)

2000 (3)

P. de Groot, “Diffractive grazing-incidence interferometer,” Appl. Opt. 39(10), 1527–1530 (2000).
[Crossref] [PubMed]

H. Nüger and J. Schwider, “Measurement of curvature and thickness variations of plane surfaces by grazing incidence interferometry,” Optik (Stuttg.) 111, 319–327 (2000).

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

1999 (2)

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

X. Li, C. Wang, H. Xian, X. Wu, and W. Jiang, “Zernike modal compensation analysis for an adaptive optics system using direct-gradient wavefront reconstruction algorithm,” SPIE 3762, 116–124 (1999).
[Crossref]

1998 (2)

F. Druon, G. Chériaux, J. Faure, J. Nees, M. Nantel, A. Maksimchuk, G. Mourou, J. C. Chanteloup, and G. Vdovin, “Wave-front correction of femtosecond terawatt lasers by deformable mirrors,” Opt. Lett. 23(13), 1043–1045 (1998).
[Crossref] [PubMed]

X. Colonna de Lega, J. F. Biegen, D. Stephenson, and P. J. de Groot, “Characterization of a geometrically desensitized interferometer for flatness testing,” Proc. SPIE 3520, 284–292 (1998).
[Crossref]

1996 (1)

T. E. Carlsson, N. H. Abramson, and K. H. Fischer, “Automatic measurement of surface height with the interferoscope,” Opt. Eng. 35(10), 2938–2942 (1996).
[Crossref]

1992 (1)

1990 (1)

W. Jiang and H. Li, “Hartmann-Shack wavefront sensing and wavefront control algorithm,” SPIE 1271, 82–93 (1990).
[Crossref]

1980 (1)

1969 (1)

N. Abramson, “The interferoscope: a new type of interferometer with variable fringe separation,” Optik (Stuttg.) 30, 56–71 (1969).

Abramson, N.

N. Abramson, “The interferoscope: a new type of interferometer with variable fringe separation,” Optik (Stuttg.) 30, 56–71 (1969).

Abramson, N. H.

T. E. Carlsson, N. H. Abramson, and K. H. Fischer, “Automatic measurement of surface height with the interferoscope,” Opt. Eng. 35(10), 2938–2942 (1996).
[Crossref]

Ahmed, M. A.

Albers, K.

Ao, M.-W.

P. Yang, Y. Liu, W. Yang, M.-W. Ao, S.-J. Hu, B. Xu, and W.-H. Jiang, “Adaptive mode optimization of a continuous-wave solid-state laser using an intracavity piezoelectric deformable mirror,” Opt. Commun. 278(2), 377–381 (2007).
[Crossref]

Arain, M. A.

Baumhacker, H.

Biegen, J. F.

X. Colonna de Lega, J. F. Biegen, D. Stephenson, and P. J. de Groot, “Characterization of a geometrically desensitized interferometer for flatness testing,” Proc. SPIE 3520, 284–292 (1998).
[Crossref]

Bliss, E.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Bloom, D. M.

Borra, E. F.

Brousseau, D.

Bruns, D. G.

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Bucourt, S.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Burns, D.

Canuel, B.

Carlsson, T. E.

T. E. Carlsson, N. H. Abramson, and K. H. Fischer, “Automatic measurement of surface height with the interferoscope,” Opt. Eng. 35(10), 2938–2942 (1996).
[Crossref]

Cavalier, F.

Chanteloup, J. C.

Chériaux, G.

Colonna de Lega, X.

X. Colonna de Lega, J. F. Biegen, D. Stephenson, and P. J. de Groot, “Characterization of a geometrically desensitized interferometer for flatness testing,” Proc. SPIE 3520, 284–292 (1998).
[Crossref]

Day, R.

de Groot, P.

de Groot, P. J.

X. Colonna de Lega, J. F. Biegen, D. Stephenson, and P. J. de Groot, “Characterization of a geometrically desensitized interferometer for flatness testing,” Proc. SPIE 3520, 284–292 (1998).
[Crossref]

Dong, L.

Dovillaire, G.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Druon, F.

Fajardo, M.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Faure, J.

Feldman, M.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Feng, Z.

Fischer, K. H.

T. E. Carlsson, N. H. Abramson, and K. H. Fischer, “Automatic measurement of surface height with the interferoscope,” Opt. Eng. 35(10), 2938–2942 (1996).
[Crossref]

Gautier, J.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Genin, E.

Goddet, J.-P.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Gong, M.

Q. Xue, L. Huang, P. Yan, M. Gong, Z. Feng, Y. Qiu, T. Li, and G. Jin, “Research on the particular temperature-induced surface shape of a National Ignition Facility deformable mirror,” Appl. Opt. 52(2), 280–287 (2013).
[Crossref] [PubMed]

F. He, M. Gong, L. Huang, Q. Liu, Q. Wang, and X. Yan, “Compact TEM00 grazing-incidence Nd:GdVO4 laser using a folded cavity,” Appl. Phys. B 86(3), 447–450 (2007).
[Crossref]

Gong, M. L.

Graf, T.

Grey, A.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Hauri, C.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

He, F.

F. He, M. Gong, L. Huang, Q. Liu, Q. Wang, and X. Yan, “Compact TEM00 grazing-incidence Nd:GdVO4 laser using a folded cavity,” Appl. Phys. B 86(3), 447–450 (2007).
[Crossref]

Hegelich, M.

Henesian, M.

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Hou, J.

Hu, S.

Hu, S.-J.

P. Yang, Y. Liu, W. Yang, M.-W. Ao, S.-J. Hu, B. Xu, and W.-H. Jiang, “Adaptive mode optimization of a continuous-wave solid-state laser using an intracavity piezoelectric deformable mirror,” Opt. Commun. 278(2), 377–381 (2007).
[Crossref]

Huang, L.

Ikeda, O.

Ishida, H.

Jiang, W.

H. Yang, G. Liu, C. Rao, Y. Zhang, and W. Jiang, “Combinational-deformable-mirror adaptive optics system for compensation of high-order modes of wavefront,” Chin. Opt. Lett. 5, 435–437 (2007).

S. Hu, B. Xu, X. Zhang, J. Hou, J. Wu, and W. Jiang, “Double-deformable-mirror adaptive optics system for phase compensation,” Appl. Opt. 45(12), 2638–2642 (2006).
[Crossref] [PubMed]

X. Li, C. Wang, H. Xian, X. Wu, and W. Jiang, “Zernike modal compensation analysis for an adaptive optics system using direct-gradient wavefront reconstruction algorithm,” SPIE 3762, 116–124 (1999).
[Crossref]

W. Jiang and H. Li, “Hartmann-Shack wavefront sensing and wavefront control algorithm,” SPIE 1271, 82–93 (1990).
[Crossref]

Jiang, W.-H.

P. Yang, Y. Liu, W. Yang, M.-W. Ao, S.-J. Hu, B. Xu, and W.-H. Jiang, “Adaptive mode optimization of a continuous-wave solid-state laser using an intracavity piezoelectric deformable mirror,” Opt. Commun. 278(2), 377–381 (2007).
[Crossref]

Jin, G.

Kaluza, M.

Karsch, S.

Kasprzack, M.

Koch, J.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Korth, W. Z.

Kudryashov, A.

Lafiandra, C.

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Lawson, J.

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Lei, X.

Levecq, X.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Li, H.

W. Jiang and H. Li, “Hartmann-Shack wavefront sensing and wavefront control algorithm,” SPIE 1271, 82–93 (1990).
[Crossref]

Li, T.

Li, X.

X. Li, C. Wang, H. Xian, X. Wu, and W. Jiang, “Zernike modal compensation analysis for an adaptive optics system using direct-gradient wavefront reconstruction algorithm,” SPIE 3762, 116–124 (1999).
[Crossref]

Liu, G.

Liu, Q.

M. L. Gong, Y. Qiu, L. Huang, Q. Liu, P. Yan, and H. T. Zhang, “Beam quality improvement by joint compensation of amplitude and phase,” Opt. Lett. 38(7), 1101–1103 (2013).
[Crossref] [PubMed]

F. He, M. Gong, L. Huang, Q. Liu, Q. Wang, and X. Yan, “Compact TEM00 grazing-incidence Nd:GdVO4 laser using a folded cavity,” Appl. Phys. B 86(3), 447–450 (2007).
[Crossref]

Liu, W.

Liu, Y.

P. Yang, Y. Liu, W. Yang, M.-W. Ao, S.-J. Hu, B. Xu, and W.-H. Jiang, “Adaptive mode optimization of a continuous-wave solid-state laser using an intracavity piezoelectric deformable mirror,” Opt. Commun. 278(2), 377–381 (2007).
[Crossref]

Lubeigt, W.

Maksimchuk, A.

Marchenko, T.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Marque, J.

Martin, R. M.

Mourou, G.

Mueller, G.

Nantel, M.

Nees, J.

Nüger, H.

H. Nüger and J. Schwider, “Measurement of curvature and thickness variations of plane surfaces by grazing incidence interferometry,” Optik (Stuttg.) 111, 319–327 (2000).

Papalazarou, E.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Piehler, S.

Pretzler, G.

Qiu, Y.

Rao, C.

Reitze, D. H.

Rey, G.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Roukossouev, A.

Sacks, R.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Salmon, T.

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Samarkin, V.

Sandejas, F. S. A.

Sato, T.

Schwider, J.

H. Nüger and J. Schwider, “Measurement of curvature and thickness variations of plane surfaces by grazing incidence interferometry,” Optik (Stuttg.) 111, 319–327 (2000).

Scrick, O.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Sebban, S.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Sentenac, D.

Solgaard, O.

Stephenson, D.

X. Colonna de Lega, J. F. Biegen, D. Stephenson, and P. J. de Groot, “Characterization of a geometrically desensitized interferometer for flatness testing,” Proc. SPIE 3520, 284–292 (1998).
[Crossref]

Stolz, C.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

Tanner, D. B.

Thibault, S.

Toeppen, J.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Vajente, G.

Valentin, C.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Valentine, G.

Van Atta, L.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Vdovin, G.

Voss, A.

Wang, C.

X. Li, C. Wang, H. Xian, X. Wu, and W. Jiang, “Zernike modal compensation analysis for an adaptive optics system using direct-gradient wavefront reconstruction algorithm,” SPIE 3762, 116–124 (1999).
[Crossref]

Wang, Q.

F. He, M. Gong, L. Huang, Q. Liu, Q. Wang, and X. Yan, “Compact TEM00 grazing-incidence Nd:GdVO4 laser using a folded cavity,” Appl. Phys. B 86(3), 447–450 (2007).
[Crossref]

Wang, S.

Weichelt, B.

Williams, L. F.

Winters, S.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Witte, K. J.

Wittrock, U.

Woods, B.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Wu, J.

Wu, X.

X. Li, C. Wang, H. Xian, X. Wu, and W. Jiang, “Zernike modal compensation analysis for an adaptive optics system using direct-gradient wavefront reconstruction algorithm,” SPIE 3762, 116–124 (1999).
[Crossref]

Xian, H.

X. Li, C. Wang, H. Xian, X. Wu, and W. Jiang, “Zernike modal compensation analysis for an adaptive optics system using direct-gradient wavefront reconstruction algorithm,” SPIE 3762, 116–124 (1999).
[Crossref]

Xu, B.

Xue, Q.

Yan, H.

Yan, P.

Yan, X.

F. He, M. Gong, L. Huang, Q. Liu, Q. Wang, and X. Yan, “Compact TEM00 grazing-incidence Nd:GdVO4 laser using a folded cavity,” Appl. Phys. B 86(3), 447–450 (2007).
[Crossref]

Yang, H.

Yang, P.

Yang, W.

P. Yang, Y. Liu, W. Yang, M.-W. Ao, S.-J. Hu, B. Xu, and W.-H. Jiang, “Adaptive mode optimization of a continuous-wave solid-state laser using an intracavity piezoelectric deformable mirror,” Opt. Commun. 278(2), 377–381 (2007).
[Crossref]

Zacharias, R.

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

Zeitoun, P.

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Zhang, H. T.

Zhang, X.

Zhang, Y.

Zimer, H.

Appl. Opt. (5)

Appl. Phys. B (1)

F. He, M. Gong, L. Huang, Q. Liu, Q. Wang, and X. Yan, “Compact TEM00 grazing-incidence Nd:GdVO4 laser using a folded cavity,” Appl. Phys. B 86(3), 447–450 (2007).
[Crossref]

Chin. Opt. Lett. (2)

J. Opt. Soc. Am. B (1)

C. Valentin, J. Gautier, J.-P. Goddet, C. Hauri, T. Marchenko, E. Papalazarou, G. Rey, S. Sebban, O. Scrick, P. Zeitoun, G. Dovillaire, X. Levecq, S. Bucourt, and M. Fajardo, “High-order harmonic wave fronts generated with controlled astigmatic infrared laser,” J. Opt. Soc. Am. B 25(7), 161–166 (2008).
[Crossref]

Opt. Commun. (1)

P. Yang, Y. Liu, W. Yang, M.-W. Ao, S.-J. Hu, B. Xu, and W.-H. Jiang, “Adaptive mode optimization of a continuous-wave solid-state laser using an intracavity piezoelectric deformable mirror,” Opt. Commun. 278(2), 377–381 (2007).
[Crossref]

Opt. Eng. (1)

T. E. Carlsson, N. H. Abramson, and K. H. Fischer, “Automatic measurement of surface height with the interferoscope,” Opt. Eng. 35(10), 2938–2942 (1996).
[Crossref]

Opt. Express (4)

Opt. Lett. (6)

Optik (Stuttg.) (2)

H. Nüger and J. Schwider, “Measurement of curvature and thickness variations of plane surfaces by grazing incidence interferometry,” Optik (Stuttg.) 111, 319–327 (2000).

N. Abramson, “The interferoscope: a new type of interferometer with variable fringe separation,” Optik (Stuttg.) 30, 56–71 (1969).

Proc. SPIE (3)

R. Zacharias, E. Bliss, S. Winters, R. Sacks, M. Feldman, A. Grey, J. Koch, C. Stolz, J. Toeppen, L. Van Atta, and B. Woods, “Wavefront control of high-power laser beams in the National Ignition Facility (NIF),” Proc. SPIE 3889, 332–343 (2000).
[Crossref]

R. Zacharias, E. Bliss, M. Feldman, A. Grey, M. Henesian, J. Koch, J. Lawson, R. Sacks, T. Salmon, J. Toeppen, L. Van Atta, S. Winters, B. Woods, C. Lafiandra, and D. G. Bruns, “The National Ignition Facility(NIF) wavefront control system,” Proc. SPIE 3492, 678–692 (1999).
[Crossref]

X. Colonna de Lega, J. F. Biegen, D. Stephenson, and P. J. de Groot, “Characterization of a geometrically desensitized interferometer for flatness testing,” Proc. SPIE 3520, 284–292 (1998).
[Crossref]

SPIE (2)

W. Jiang and H. Li, “Hartmann-Shack wavefront sensing and wavefront control algorithm,” SPIE 1271, 82–93 (1990).
[Crossref]

X. Li, C. Wang, H. Xian, X. Wu, and W. Jiang, “Zernike modal compensation analysis for an adaptive optics system using direct-gradient wavefront reconstruction algorithm,” SPIE 3762, 116–124 (1999).
[Crossref]

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Figures (8)

Fig. 1
Fig. 1 Diagram of grazing incidence

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Fig. 2
Fig. 2 Optical path difference of grazing incidence in step-shaped DM model.

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Fig. 3
Fig. 3 Configuration of the twice grazing reflected AO system.

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Fig. 4
Fig. 4 Stretching effect under different incidence conditions.

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Fig. 5
Fig. 5 Comparison of correction results of 3th, 6th and 7th Zernike polynomials.

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Fig. 6
Fig. 6 Improvement factor to grazing angle of 3th, 6th and 7th Zernike polynomials.

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Fig. 7
Fig. 7 Correction results in different processes for 3th, 6th and 7th Zernike polynomials.

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Fig. 8
Fig. 8 Fitting coefficient of the first 30 order of Zernike polynomials.

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Tables (1)

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Table 1 Parameters Used in Analysis

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Equations (12)

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γ=1/ cosθ
{ | EG |= Δh / cosθ | CD |=| EF |=| EG |sinα=| EG |sin(2θ− π 2 ) ,
Δφ=| EG |−| CD |=2⋅Δhcosθ.
h a ( x i , y i ,θ)=cosθ⋅exp[ ln( α ) ( ( x i − x a r ) 2 + ( y i − y a r ) 2 ) β ]
H m×n A n×1 = W m×1
A * = H + ⋅W
A x * ( θ x )= H x + ( θ x )⋅W,
e x ( θ x )= H x ( θ x ) A x * ( θ x )−W=[ H x ( θ x )⋅ H x + ( θ x )−I ]W.
A y * ( θ x , θ y )= H y + ( θ y ) e x ( θ x )
e xy ( θ x , θ y )= H y ( θ y ) A y * ( θ x , θ y )− e x ( θ x )               =[ H y ( θ y )⋅ H y + ( θ y )−I ][ H x ( θ x )⋅ H x + ( θ x )−I ]W.
δ x ( θ x )= RMS[ e x ( θ x ) ] RMS[ e x ( 0 ∘ ) ]
ξ j−Zernike = ∑ i=1 m e 2 ( x i , y i ) / ∑ i=1 m Z j 2 ( x i , y i )

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