Abstract

The development of phased-array grating compressor is a crucial issue for high-energy, ultra-short pulse petawatt-class lasers. We present a theoretical and experimental analysis of two-grating phasing in a broadband pulse mosaic compressor. The phase defaults induced by misaligned gratings are studied. Monochromatic grating phasing is experimentally achieved with an interferometric technique and pulse compression is demonstrated with a two-phased-array grating system.

©2007 Optical Society of America

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  1. D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses, ” Opt. Commun.  956, 219–221 (1985).
    [Crossref]
  2. B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
    [Crossref]
  3. T. Zhang, M. Yonemura, and Y. Kato, “An array-grating compressor for high-power chirped-pulse amplification lasers, ” Opt. Commun.  145, 367–376 (1998).
    [Crossref]
  4. T. J. Kessler, J. Bunkenburg, H. Huang, A. Kozlov, and D. D. Meyerhofer, “Demonstration of coherent addition of multiple gratings for high-energy chirped-pulse-amplified lasers, ” Opt. Lett.  29, 635–37 (2004).
    [Crossref] [PubMed]
  5. C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).
  6. M. C. Rushford, W. A. Molander, J. D. Nissen, I. Jovanovic, J. A. Britten, and C. P. J. Barty, “Diffraction grating eigenvector for translational and rotational motion, ” Opt. Lett.  31, 155–157 (2006).
    [Crossref] [PubMed]
  7. T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).
  8. T. J. Kessler, J. Bunkenburg, and H. Huang, “Grating Array Systems for the Alignment and Control of the Spatial and Temporal Characteristics of Light, ” U.S. Patent Application (2003).
  9. Treacy E. B., “Optical pulse compression with diffraction gratings, ” IEEE J. Quantum Electron.  5, 454–458 (1969).
    [Crossref]
  10. M. Trentelman, I. N. Ross, and C. Danson , “ Finite size compression gratings in a large aperture chirped pulse amplification laser system, ” Appl. Opt.  36, 8567–8573 (1997).
    [Crossref]
  11. M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
    [Crossref]
  12. N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
    [Crossref] [PubMed]
  13. R. Diaz-Uribe and A. Jiménez-Hernandez, “Phase measurement for segmented optics with 1D diffraction patterns, ” Opt. Express 12, 1192–1204 (2004).
    [Crossref] [PubMed]
  14. G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
    [Crossref]
  15. N. C. Mehta and C. W. Allen, “Remote alignment of segmented mirrors with far-field optimization, “ Appl. Opt.  31, 6510–6518 (1992).
    [Crossref] [PubMed]
  16. C. Pizzaro, J. Arasa, F. Laguarta, N. Tomes, and A. Pinto, “Design of an interferometric system for the measurement of phasing errors in segmented mirrors, ” Appl. Opt.  41, 4562–4570 (2002).
    [Crossref]
  17. J. Bunkenburg, T. J. Kessler, W. Skulski, and H. Huang, “Phase-locked control of tiled-grating assemblies for chirped-pulse-amplified lasers using a Mach-Zehnder interferometer, ” Opt. Lett.  31, 1561–1563 (2006).
    [Crossref] [PubMed]
  18. R. L. Kendrick, D. S. Acton, and A. L. Duncan, “Phase diversity wavefront sensor for imaging system, “ Appl. Opt.  33, 65336546 (1994).
    [Crossref] [PubMed]
  19. J. Flamand, S. Kane, G. De Villele, A. Cotel, and B. Touzet, “New MLD gratings adapted for tiling in petawatt-class lasers, ” Fourth International Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

2006 (3)

M. C. Rushford, W. A. Molander, J. D. Nissen, I. Jovanovic, J. A. Britten, and C. P. J. Barty, “Diffraction grating eigenvector for translational and rotational motion, ” Opt. Lett.  31, 155–157 (2006).
[Crossref] [PubMed]

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

J. Bunkenburg, T. J. Kessler, W. Skulski, and H. Huang, “Phase-locked control of tiled-grating assemblies for chirped-pulse-amplified lasers using a Mach-Zehnder interferometer, ” Opt. Lett.  31, 1561–1563 (2006).
[Crossref] [PubMed]

2005 (2)

J. Flamand, S. Kane, G. De Villele, A. Cotel, and B. Touzet, “New MLD gratings adapted for tiling in petawatt-class lasers, ” Fourth International Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
[Crossref]

2004 (2)

T. J. Kessler, J. Bunkenburg, H. Huang, A. Kozlov, and D. D. Meyerhofer, “Demonstration of coherent addition of multiple gratings for high-energy chirped-pulse-amplified lasers, ” Opt. Lett.  29, 635–37 (2004).
[Crossref] [PubMed]

R. Diaz-Uribe and A. Jiménez-Hernandez, “Phase measurement for segmented optics with 1D diffraction patterns, ” Opt. Express 12, 1192–1204 (2004).
[Crossref] [PubMed]

2002 (1)

C. Pizzaro, J. Arasa, F. Laguarta, N. Tomes, and A. Pinto, “Design of an interferometric system for the measurement of phasing errors in segmented mirrors, ” Appl. Opt.  41, 4562–4570 (2002).
[Crossref]

1998 (2)

G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
[Crossref]

T. Zhang, M. Yonemura, and Y. Kato, “An array-grating compressor for high-power chirped-pulse amplification lasers, ” Opt. Commun.  145, 367–376 (1998).
[Crossref]

1997 (2)

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

M. Trentelman, I. N. Ross, and C. Danson , “ Finite size compression gratings in a large aperture chirped pulse amplification laser system, ” Appl. Opt.  36, 8567–8573 (1997).
[Crossref]

1994 (1)

R. L. Kendrick, D. S. Acton, and A. L. Duncan, “Phase diversity wavefront sensor for imaging system, “ Appl. Opt.  33, 65336546 (1994).
[Crossref] [PubMed]

1992 (1)

N. C. Mehta and C. W. Allen, “Remote alignment of segmented mirrors with far-field optimization, “ Appl. Opt.  31, 6510–6518 (1992).
[Crossref] [PubMed]

1985 (1)

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses, ” Opt. Commun.  956, 219–221 (1985).
[Crossref]

1969 (1)

Treacy E. B., “Optical pulse compression with diffraction gratings, ” IEEE J. Quantum Electron.  5, 454–458 (1969).
[Crossref]

A. M., Sautivet

C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).

abara, H.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Acton, D. S.

R. L. Kendrick, D. S. Acton, and A. L. Duncan, “Phase diversity wavefront sensor for imaging system, “ Appl. Opt.  33, 65336546 (1994).
[Crossref] [PubMed]

Allen, C. W.

N. C. Mehta and C. W. Allen, “Remote alignment of segmented mirrors with far-field optimization, “ Appl. Opt.  31, 6510–6518 (1992).
[Crossref] [PubMed]

Amiranoff, F.

C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).

Arasa, J.

C. Pizzaro, J. Arasa, F. Laguarta, N. Tomes, and A. Pinto, “Design of an interferometric system for the measurement of phasing errors in segmented mirrors, ” Appl. Opt.  41, 4562–4570 (2002).
[Crossref]

Barty, C. P. J.

M. C. Rushford, W. A. Molander, J. D. Nissen, I. Jovanovic, J. A. Britten, and C. P. J. Barty, “Diffraction grating eigenvector for translational and rotational motion, ” Opt. Lett.  31, 155–157 (2006).
[Crossref] [PubMed]

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Blanchot, N.

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

BÖdefeld, R.

M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
[Crossref]

Boyd, R. D.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

Britten, J. A.

M. C. Rushford, W. A. Molander, J. D. Nissen, I. Jovanovic, J. A. Britten, and C. P. J. Barty, “Diffraction grating eigenvector for translational and rotational motion, ” Opt. Lett.  31, 155–157 (2006).
[Crossref] [PubMed]

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Bunkenburg, J.

J. Bunkenburg, T. J. Kessler, W. Skulski, and H. Huang, “Phase-locked control of tiled-grating assemblies for chirped-pulse-amplified lasers using a Mach-Zehnder interferometer, ” Opt. Lett.  31, 1561–1563 (2006).
[Crossref] [PubMed]

T. J. Kessler, J. Bunkenburg, H. Huang, A. Kozlov, and D. D. Meyerhofer, “Demonstration of coherent addition of multiple gratings for high-energy chirped-pulse-amplified lasers, ” Opt. Lett.  29, 635–37 (2004).
[Crossref] [PubMed]

T. J. Kessler, J. Bunkenburg, and H. Huang, “Grating Array Systems for the Alignment and Control of the Spatial and Temporal Characteristics of Light, ” U.S. Patent Application (2003).

Chanan, G.

G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
[Crossref]

Chow, R.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

Cotel, A.

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

J. Flamand, S. Kane, G. De Villele, A. Cotel, and B. Touzet, “New MLD gratings adapted for tiling in petawatt-class lasers, ” Fourth International Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Danson, C.

M. Trentelman, I. N. Ross, and C. Danson , “ Finite size compression gratings in a large aperture chirped pulse amplification laser system, ” Appl. Opt.  36, 8567–8573 (1997).
[Crossref]

De Villele, G.

J. Flamand, S. Kane, G. De Villele, A. Cotel, and B. Touzet, “New MLD gratings adapted for tiling in petawatt-class lasers, ” Fourth International Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Dekens, F.

G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
[Crossref]

Diaz-Uribe, R.

Duncan, A. L.

R. L. Kendrick, D. S. Acton, and A. L. Duncan, “Phase diversity wavefront sensor for imaging system, “ Appl. Opt.  33, 65336546 (1994).
[Crossref] [PubMed]

E. B., Treacy

Treacy E. B., “Optical pulse compression with diffraction gratings, ” IEEE J. Quantum Electron.  5, 454–458 (1969).
[Crossref]

Feit, M. D.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

Felix, C.

C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).

Flamand, J.

J. Flamand, S. Kane, G. De Villele, A. Cotel, and B. Touzet, “New MLD gratings adapted for tiling in petawatt-class lasers, ” Fourth International Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Forget, N.

C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).

Hein, J.

M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
[Crossref]

Hollander, P.

C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).

Hornung, M.

M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
[Crossref]

Huang, H.

J. Bunkenburg, T. J. Kessler, W. Skulski, and H. Huang, “Phase-locked control of tiled-grating assemblies for chirped-pulse-amplified lasers using a Mach-Zehnder interferometer, ” Opt. Lett.  31, 1561–1563 (2006).
[Crossref] [PubMed]

T. J. Kessler, J. Bunkenburg, H. Huang, A. Kozlov, and D. D. Meyerhofer, “Demonstration of coherent addition of multiple gratings for high-energy chirped-pulse-amplified lasers, ” Opt. Lett.  29, 635–37 (2004).
[Crossref] [PubMed]

T. J. Kessler, J. Bunkenburg, and H. Huang, “Grating Array Systems for the Alignment and Control of the Spatial and Temporal Characteristics of Light, ” U.S. Patent Application (2003).

Jiménez-Hernandez, A.

Jitsuno, T.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Jovanovic, I.

M. C. Rushford, W. A. Molander, J. D. Nissen, I. Jovanovic, J. A. Britten, and C. P. J. Barty, “Diffraction grating eigenvector for translational and rotational motion, ” Opt. Lett.  31, 155–157 (2006).
[Crossref] [PubMed]

Kai, H.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Kane, S.

J. Flamand, S. Kane, G. De Villele, A. Cotel, and B. Touzet, “New MLD gratings adapted for tiling in petawatt-class lasers, ” Fourth International Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Kato, Y.

T. Zhang, M. Yonemura, and Y. Kato, “An array-grating compressor for high-power chirped-pulse amplification lasers, ” Opt. Commun.  145, 367–376 (1998).
[Crossref]

Kendrick, R. L.

R. L. Kendrick, D. S. Acton, and A. L. Duncan, “Phase diversity wavefront sensor for imaging system, “ Appl. Opt.  33, 65336546 (1994).
[Crossref] [PubMed]

Kessler, T. J.

J. Bunkenburg, T. J. Kessler, W. Skulski, and H. Huang, “Phase-locked control of tiled-grating assemblies for chirped-pulse-amplified lasers using a Mach-Zehnder interferometer, ” Opt. Lett.  31, 1561–1563 (2006).
[Crossref] [PubMed]

T. J. Kessler, J. Bunkenburg, H. Huang, A. Kozlov, and D. D. Meyerhofer, “Demonstration of coherent addition of multiple gratings for high-energy chirped-pulse-amplified lasers, ” Opt. Lett.  29, 635–37 (2004).
[Crossref] [PubMed]

T. J. Kessler, J. Bunkenburg, and H. Huang, “Grating Array Systems for the Alignment and Control of the Spatial and Temporal Characteristics of Light, ” U.S. Patent Application (2003).

Kirkman, D.

G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
[Crossref]

Kodama, R.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Kondo, K.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Kozlov, A.

T. J. Kessler, J. Bunkenburg, H. Huang, A. Kozlov, and D. D. Meyerhofer, “Demonstration of coherent addition of multiple gratings for high-energy chirped-pulse-amplified lasers, ” Opt. Lett.  29, 635–37 (2004).
[Crossref] [PubMed]

Lagron, J. C.

C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).

Laguarta, F.

C. Pizzaro, J. Arasa, F. Laguarta, N. Tomes, and A. Pinto, “Design of an interferometric system for the measurement of phasing errors in segmented mirrors, ” Appl. Opt.  41, 4562–4570 (2002).
[Crossref]

Le Blanc, C.

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).

Li, L.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

Loomis, G. E.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

Marre, G.

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

Mast, T.

G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
[Crossref]

Mehta, N. C.

N. C. Mehta and C. W. Allen, “Remote alignment of segmented mirrors with far-field optimization, “ Appl. Opt.  31, 6510–6518 (1992).
[Crossref] [PubMed]

Meyerhofer, D. D.

T. J. Kessler, J. Bunkenburg, H. Huang, A. Kozlov, and D. D. Meyerhofer, “Demonstration of coherent addition of multiple gratings for high-energy chirped-pulse-amplified lasers, ” Opt. Lett.  29, 635–37 (2004).
[Crossref] [PubMed]

Michaels, S.

G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
[Crossref]

Migus, A.

C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).

Mima, K.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Miyanaga, N.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Molander, W. A.

M. C. Rushford, W. A. Molander, J. D. Nissen, I. Jovanovic, J. A. Britten, and C. P. J. Barty, “Diffraction grating eigenvector for translational and rotational motion, ” Opt. Lett.  31, 155–157 (2006).
[Crossref] [PubMed]

Montant, S.

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

Motokoshi, S.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Mourou, G.

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses, ” Opt. Commun.  956, 219–221 (1985).
[Crossref]

Néauport, J.

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

Nelson, J.

G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
[Crossref]

Nguyen, H. T.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

Nissen, J. D.

M. C. Rushford, W. A. Molander, J. D. Nissen, I. Jovanovic, J. A. Britten, and C. P. J. Barty, “Diffraction grating eigenvector for translational and rotational motion, ” Opt. Lett.  31, 155–157 (2006).
[Crossref] [PubMed]

Perry, M. D.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

Pinto, A.

C. Pizzaro, J. Arasa, F. Laguarta, N. Tomes, and A. Pinto, “Design of an interferometric system for the measurement of phasing errors in segmented mirrors, ” Appl. Opt.  41, 4562–4570 (2002).
[Crossref]

Pizzaro, C.

C. Pizzaro, J. Arasa, F. Laguarta, N. Tomes, and A. Pinto, “Design of an interferometric system for the measurement of phasing errors in segmented mirrors, ” Appl. Opt.  41, 4562–4570 (2002).
[Crossref]

Podelska, S.

M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
[Crossref]

Ross, I. N.

M. Trentelman, I. N. Ross, and C. Danson , “ Finite size compression gratings in a large aperture chirped pulse amplification laser system, ” Appl. Opt.  36, 8567–8573 (1997).
[Crossref]

Rouyer, C.

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

Rushford, M. C.

M. C. Rushford, W. A. Molander, J. D. Nissen, I. Jovanovic, J. A. Britten, and C. P. J. Barty, “Diffraction grating eigenvector for translational and rotational motion, ” Opt. Lett.  31, 155–157 (2006).
[Crossref] [PubMed]

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Sauerbrey, R.

M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
[Crossref]

Sauteret, C.

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

Schnepp, M.

M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
[Crossref]

Shiraga, H.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Shore, B. W.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

Sibé, E.

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

Siebold, M.

M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
[Crossref]

Skulski, W.

J. Bunkenburg, T. J. Kessler, W. Skulski, and H. Huang, “Phase-locked control of tiled-grating assemblies for chirped-pulse-amplified lasers using a Mach-Zehnder interferometer, ” Opt. Lett.  31, 1561–1563 (2006).
[Crossref] [PubMed]

Strickland, D.

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses, ” Opt. Commun.  956, 219–221 (1985).
[Crossref]

Tanaka, K. A.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Tomes, N.

C. Pizzaro, J. Arasa, F. Laguarta, N. Tomes, and A. Pinto, “Design of an interferometric system for the measurement of phasing errors in segmented mirrors, ” Appl. Opt.  41, 4562–4570 (2002).
[Crossref]

Touzet, B.

J. Flamand, S. Kane, G. De Villele, A. Cotel, and B. Touzet, “New MLD gratings adapted for tiling in petawatt-class lasers, ” Fourth International Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Trentelman, M.

M. Trentelman, I. N. Ross, and C. Danson , “ Finite size compression gratings in a large aperture chirped pulse amplification laser system, ” Appl. Opt.  36, 8567–8573 (1997).
[Crossref]

Troy, M.

G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
[Crossref]

Tsubakimoto, K.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Xu, G.

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

Yonemura, M.

T. Zhang, M. Yonemura, and Y. Kato, “An array-grating compressor for high-power chirped-pulse amplification lasers, ” Opt. Commun.  145, 367–376 (1998).
[Crossref]

Zhang, T.

T. Zhang, M. Yonemura, and Y. Kato, “An array-grating compressor for high-power chirped-pulse amplification lasers, ” Opt. Commun.  145, 367–376 (1998).
[Crossref]

Appl. Opt (6)

N. Blanchot, G. Marre, J. Néauport, E. Sibé, C. Rouyer, S. Montant, A. Cotel, C. Le Blanc, and C. Sauteret, “Synthetic aperture compression scheme for multi-petawatt high energy laser, ” Appl. Opt.  45, 6013–6021 (2006).
[Crossref] [PubMed]

G. Chanan, M. Troy, F. Dekens, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, “ Phasing the mirror segments of the Keck telescopes : the broadband phasing algorithm, Appl. Opt.  37, 140–155 (1998).
[Crossref]

N. C. Mehta and C. W. Allen, “Remote alignment of segmented mirrors with far-field optimization, “ Appl. Opt.  31, 6510–6518 (1992).
[Crossref] [PubMed]

C. Pizzaro, J. Arasa, F. Laguarta, N. Tomes, and A. Pinto, “Design of an interferometric system for the measurement of phasing errors in segmented mirrors, ” Appl. Opt.  41, 4562–4570 (2002).
[Crossref]

M. Trentelman, I. N. Ross, and C. Danson , “ Finite size compression gratings in a large aperture chirped pulse amplification laser system, ” Appl. Opt.  36, 8567–8573 (1997).
[Crossref]

R. L. Kendrick, D. S. Acton, and A. L. Duncan, “Phase diversity wavefront sensor for imaging system, “ Appl. Opt.  33, 65336546 (1994).
[Crossref] [PubMed]

IEEE J. Quantum Electron (1)

Treacy E. B., “Optical pulse compression with diffraction gratings, ” IEEE J. Quantum Electron.  5, 454–458 (1969).
[Crossref]

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

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, “Design of high-efficiency dielectric reflection gratings, ” J. Opt. Soc. Am. A 14, 1224–1136 (1997).
[Crossref]

Opt. Commun (2)

T. Zhang, M. Yonemura, and Y. Kato, “An array-grating compressor for high-power chirped-pulse amplification lasers, ” Opt. Commun.  145, 367–376 (1998).
[Crossref]

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses, ” Opt. Commun.  956, 219–221 (1985).
[Crossref]

Opt. Express (1)

Opt. Lett (3)

M. C. Rushford, W. A. Molander, J. D. Nissen, I. Jovanovic, J. A. Britten, and C. P. J. Barty, “Diffraction grating eigenvector for translational and rotational motion, ” Opt. Lett.  31, 155–157 (2006).
[Crossref] [PubMed]

T. J. Kessler, J. Bunkenburg, H. Huang, A. Kozlov, and D. D. Meyerhofer, “Demonstration of coherent addition of multiple gratings for high-energy chirped-pulse-amplified lasers, ” Opt. Lett.  29, 635–37 (2004).
[Crossref] [PubMed]

J. Bunkenburg, T. J. Kessler, W. Skulski, and H. Huang, “Phase-locked control of tiled-grating assemblies for chirped-pulse-amplified lasers using a Mach-Zehnder interferometer, ” Opt. Lett.  31, 1561–1563 (2006).
[Crossref] [PubMed]

Proc. of SPIE vol (1)

M. Hornung, R. BÖdefeld, M. Siebold, S. Podelska, M. Schnepp, J. Hein, and R. Sauerbrey, “ Alignment of a multigrating mosaic compressor in a PW-class CPA laser, ” Proc. of SPIE vol.  5962, 59622K (2005).
[Crossref]

Other (4)

J. Flamand, S. Kane, G. De Villele, A. Cotel, and B. Touzet, “New MLD gratings adapted for tiling in petawatt-class lasers, ” Fourth International Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

C. Le Blanc, C. Felix, J. C. Lagron, N. Forget, P. Hollander, Sautivet A. M., F. Amiranoff, and A. Migus, “The Petawatt laser chain at LULI : rom the diode-pumped front end to the new generation of compact compressor, ” Proceeding Third International Conference on Inertial Fusion Sciences and Applications (IFSA), Chap X - 608, Eds B. A. Hammel, D. D. Meyerhofer, J. Meyer-ter-Vehn, and H. Azechi (2003).

T. Jitsuno, H. Kai, M. C. Rushford, N. Miyanaga, S. Motokoshi, G. Xu, K. Kondo, R. Kodama, H. Shiraga, K. A. Tanaka, K. Tsubakimoto, H. abara, J. A. Britten, C. P. J. Barty, and K. Mima, “Groove density compensation of segmented gratings in large scale pulse compressor, ” Fourth Intenational Conference on Inertial Fusion Sciences and Applications (IFSA), Biarritz (2005).

T. J. Kessler, J. Bunkenburg, and H. Huang, “Grating Array Systems for the Alignment and Control of the Spatial and Temporal Characteristics of Light, ” U.S. Patent Application (2003).

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Figures (11)

Fig. 1.
Fig. 1. Phased-array grating compressor scheme with the five degrees of freedom between the two adjacent diffraction gratings G21 and G22 (Δz, Δy, θx, θy, θz).

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Fig. 2.
Fig. 2. Representation of grating mosaic (G21-G22) misalignments (top) and far-field intensity distribution (bottom) without phase defaults (a), with a differential piston phase error of π (b), with a differential tilt θy = 2 μrad (c), and with a differential tip θx = 4 μrad (d). The peak intensities (b-d) are normalized to the maximum peak intensity without phase defaults.

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Fig. 3.
Fig. 3. Evolution of the pulse duration at the output of the grating mosaic compressor versus the piston (a), tilt (b) and tip (c) phase defaults. The Fourier transform limited pulse duration is τ0 = 400 fs.

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Fig. 4.
Fig. 4. Fringe matching technique with 5 steps (a-e) for grating mosaic alignment with a monochromatic, cw Fizeau interferometer. The interferometer circular aperture is 150mm centred on the grating gap.

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Fig. 5.
Fig. 5. Two gold-coated phased gratings in -1 order at Littrow aligned by a Fizeau interferometer and the fringe matching technique.

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Fig. 6.
Fig. 6. Experimental phased-grating wavefront surface (a) and misaligned grating wavefront surface with a π piston (c) and the 2D logarithmic representation of normalized PSF (b), (d) showing the effect of the experimental piston phase errors on the far-field distribution.

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Fig. 7.
Fig. 7. Experimental far-field intensity for phased gratings (a) and for a differential piston phase error of π (b) and comparison with theoretical simulations (c), (d).

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Fig. 8.
Fig. 8. Michelson interferometer setup for grating phasing embedded in the pulse compressor. M, reference mirror ; G1-G2 diffraction gratings (left). Interference fringe patterns of each grating (right).

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Fig. 9.
Fig. 9. Optical schematic of Ti:Sa CPA laser with the phased grating compressor and pulse diagnostics. PC’s, Pockels cells ; P, polarizers ; Elev., periscope; G1-G21-G22, diffraction gratings ; RM, roof mirror.

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Fig. 10.
Fig. 10. Spatial beam profiles with a standard monolithic compressor (X cut : black curve, Y cut : green curve) and with a grating mosaic compressor (X cut : red curve, Y cut : blue curve).

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Fig. 11.
Fig. 11. (a) Measured 2ω autocorrelation with a monolithic compressor (black curve) and a grating mosaic compressor (red curve). The deconvolved pulse is broadened from 300 fs to 420 fs by a central spectral clipping. (b) Calculated temporal profile by pulse spectrum (Δλ = 5 nm FWHM) FFT without phase (T o = 310 fs FWHM) and 2ω autocorrelation in the case of the mosaic compressor.

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Tables (1)

Tables Icon

Table 1. Constant and linear phase defaults corresponding to the five degrees of freedom plus the grating period mismatch in the case of a single-pass two-phased-grating system. k is the wave number, λ0 is the central wavelength, α is the incidence angle on the grating, β0 is the diffracted angle at the central wavelength, d is the grating period and (Δx, Δz, Δd, ε X , ε y , ε z ) are the degrees of freedom between the two adjacent gratings.

View Table

Equations (2)

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

β ( λ ) = Arcsin ⁡ [ λ d − sin ⁡ ( α ) ]
ϕ ( ω ) = ϕ 0 + ϕ 1 ( ω − ω 0 ) + 1 2 ϕ 2 ( ω − ω 0 ) 2 + 1 6 ϕ 3 ( ω − ω 0 ) 3 + o ( ( ω − ω 0 ) 4 )

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