Abstract

Beam alignment is used to control the pointing, rotation, and position of a beam automatically. We give an overview of the beam alignment system for a four-pass amplifier system. The coupling relationships between dependent quantities and deviations thereof for parameters of key optical elements are analyzed using matrix optics techniques. The rotation characteristics of a near field are discussed. The characteristics of the four-pass adjustment in the cavity spatial filter are shown and the output characteristics are provided. Finally, we develop an adjustment procedure.

© 2009 Optical Society of America

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  1. R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
    [CrossRef]
  2. S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).
  3. R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
    [CrossRef]
  4. E. S. Bliss, M. Feldman, J. E. Murray, and C. S. Vann, “Laser chain alignment with low power local light sources,” Proc. SPIE 2633, 760-767 (1995).
    [CrossRef]
  5. Abdul A. S. Awwal, Clement Law, and S. Walter Ferguson, “Uncertainty detection for NIF normal pointing images,” Proc. SPIE 6695, 66950R (2007).
    [CrossRef]
  6. R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
    [CrossRef]
  7. D. Z. Liu, R. F. Xu, and D. Y. Fan, “Design and performance of a video-based laser beam automatic alignment system,” Chin. Opt. Lett. 2, 92-94 (2004).
  8. D. Liu, F. Lv, J. Cao, R. Xu, J. Zhu, D. Fan, J. Xiao, and X. Zhou, “Design and application of a laser alignment system based on the imaging properties of a multi-pass amplifier,” Chin. Opt. Lett. 4, 601-604 (2006).
  9. Y. Q. Gao, B. Q. Zhu, D. Z. Liu, Z. Y. Peng, and Z. Q. Lin, “Study of mathematical model for auto-alignment in four-pass amplifier,” Acta Phys. Sin. 57, 6992-6997 (2008).
  10. C. A. Haynam, P. J. Wegner, J. M. Auerbach, M. W. Bowers, S. N. Dixit, G. V. Erbert, G. M. Heestand, M. A. Henesian, M. R. Hermann, K. S. Jancaitis, K. R. Manes, C. D. Marshall, N. C. Mehta, J. Menapace, E. Moses, J. R. Murray, M. C. Nostrand, C. D. Orth, R. Patterson, R. A. Sacks, M. J. Shaw, M. Spaeth, S. B. Sutton, W. H. Williams, C. C. Widmayer, R. K. White, S. T. Yang, and B. M. Van Wonterghem, “National ignition facility laser performance status,” Appl. Opt. 46, 3276-3302 (2007).
    [CrossRef] [PubMed]
  11. M. Show, W. Williams, R. House, and C. Haynam, “Laser performance operations model,” Proc. SPIE 5341, 73-83 (2004).
    [CrossRef]
  12. G. H. Wei, Matrix Optics (The House of Ordnance Industry, 1995).

2008 (1)

Y. Q. Gao, B. Q. Zhu, D. Z. Liu, Z. Y. Peng, and Z. Q. Lin, “Study of mathematical model for auto-alignment in four-pass amplifier,” Acta Phys. Sin. 57, 6992-6997 (2008).

2007 (3)

Abdul A. S. Awwal, Clement Law, and S. Walter Ferguson, “Uncertainty detection for NIF normal pointing images,” Proc. SPIE 6695, 66950R (2007).
[CrossRef]

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

C. A. Haynam, P. J. Wegner, J. M. Auerbach, M. W. Bowers, S. N. Dixit, G. V. Erbert, G. M. Heestand, M. A. Henesian, M. R. Hermann, K. S. Jancaitis, K. R. Manes, C. D. Marshall, N. C. Mehta, J. Menapace, E. Moses, J. R. Murray, M. C. Nostrand, C. D. Orth, R. Patterson, R. A. Sacks, M. J. Shaw, M. Spaeth, S. B. Sutton, W. H. Williams, C. C. Widmayer, R. K. White, S. T. Yang, and B. M. Van Wonterghem, “National ignition facility laser performance status,” Appl. Opt. 46, 3276-3302 (2007).
[CrossRef] [PubMed]

2006 (1)

2004 (4)

M. Show, W. Williams, R. House, and C. Haynam, “Laser performance operations model,” Proc. SPIE 5341, 73-83 (2004).
[CrossRef]

D. Z. Liu, R. F. Xu, and D. Y. Fan, “Design and performance of a video-based laser beam automatic alignment system,” Chin. Opt. Lett. 2, 92-94 (2004).

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

1997 (1)

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

1995 (1)

E. S. Bliss, M. Feldman, J. E. Murray, and C. S. Vann, “Laser chain alignment with low power local light sources,” Proc. SPIE 2633, 760-767 (1995).
[CrossRef]

Arnold, T. J.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

Auerbach, J. M.

Awwal, Abdul A. S.

Abdul A. S. Awwal, Clement Law, and S. Walter Ferguson, “Uncertainty detection for NIF normal pointing images,” Proc. SPIE 6695, 66950R (2007).
[CrossRef]

Beer, N. R.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

Bliss, E. S.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

E. S. Bliss, M. Feldman, J. E. Murray, and C. S. Vann, “Laser chain alignment with low power local light sources,” Proc. SPIE 2633, 760-767 (1995).
[CrossRef]

Boege, S. J.

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

Bowers, M. W.

Burkhart, S. C.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

Cao, J.

Celeste, J. R.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Celliers, P. M.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Chocol, C. J.

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

Cohen, S. J.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

Dixit, S. N.

Erbert, G. V.

Fan, D.

Fan, D. Y.

Feldman, M.

E. S. Bliss, M. Feldman, J. E. Murray, and C. S. Vann, “Laser chain alignment with low power local light sources,” Proc. SPIE 2633, 760-767 (1995).
[CrossRef]

Ferguson, S. Walter

Abdul A. S. Awwal, Clement Law, and S. Walter Ferguson, “Uncertainty detection for NIF normal pointing images,” Proc. SPIE 6695, 66950R (2007).
[CrossRef]

Frogget, B. C.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Gao, Y. Q.

Y. Q. Gao, B. Q. Zhu, D. Z. Liu, Z. Y. Peng, and Z. Q. Lin, “Study of mathematical model for auto-alignment in four-pass amplifier,” Acta Phys. Sin. 57, 6992-6997 (2008).

Guyton, R. L.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Haynam, C.

M. Show, W. Williams, R. House, and C. Haynam, “Laser performance operations model,” Proc. SPIE 5341, 73-83 (2004).
[CrossRef]

Haynam, C. A.

Heestand, G. M.

Henesian, M. A.

Hermann, M. R.

Holdener, F. R.

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

House, R.

M. Show, W. Williams, R. House, and C. Haynam, “Laser performance operations model,” Proc. SPIE 5341, 73-83 (2004).
[CrossRef]

Jancaitis, K. S.

Kaufman, M. I.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Latta, M. R.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

Law, Clement

Abdul A. S. Awwal, Clement Law, and S. Walter Ferguson, “Uncertainty detection for NIF normal pointing images,” Proc. SPIE 6695, 66950R (2007).
[CrossRef]

Lee, T. L.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Lin, Z. Q.

Y. Q. Gao, B. Q. Zhu, D. Z. Liu, Z. Y. Peng, and Z. Q. Lin, “Study of mathematical model for auto-alignment in four-pass amplifier,” Acta Phys. Sin. 57, 6992-6997 (2008).

Liu, D.

Liu, D. Z.

Y. Q. Gao, B. Q. Zhu, D. Z. Liu, Z. Y. Peng, and Z. Q. Lin, “Study of mathematical model for auto-alignment in four-pass amplifier,” Acta Phys. Sin. 57, 6992-6997 (2008).

D. Z. Liu, R. F. Xu, and D. Y. Fan, “Design and performance of a video-based laser beam automatic alignment system,” Chin. Opt. Lett. 2, 92-94 (2004).

Lv, F.

MacGowan, B. J.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Malone, R. M.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Manes, K. R.

Marshall, C. D.

Mehta, N. C.

Menapace, J.

Miller, J. L.

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

Moses, E.

Murray, J. E.

E. S. Bliss, M. Feldman, J. E. Murray, and C. S. Vann, “Laser chain alignment with low power local light sources,” Proc. SPIE 2633, 760-767 (1995).
[CrossRef]

Murray, J. R.

Ng, E. W.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Nostrand, M. C.

Orth, C. D.

Patterson, R.

Peng, Z. Y.

Y. Q. Gao, B. Q. Zhu, D. Z. Liu, Z. Y. Peng, and Z. Q. Lin, “Study of mathematical model for auto-alignment in four-pass amplifier,” Acta Phys. Sin. 57, 6992-6997 (2008).

Pigg, D. C.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

Reinbachs, I. P.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Robinson, R. B.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Sacks, R. A.

Salmon, J. T.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

Shaw, M. J.

Show, M.

M. Show, W. Williams, R. House, and C. Haynam, “Laser performance operations model,” Proc. SPIE 5341, 73-83 (2004).
[CrossRef]

Spaeth, M.

Stolz, C. J.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

Sutton, S. B.

C. A. Haynam, P. J. Wegner, J. M. Auerbach, M. W. Bowers, S. N. Dixit, G. V. Erbert, G. M. Heestand, M. A. Henesian, M. R. Hermann, K. S. Jancaitis, K. R. Manes, C. D. Marshall, N. C. Mehta, J. Menapace, E. Moses, J. R. Murray, M. C. Nostrand, C. D. Orth, R. Patterson, R. A. Sacks, M. J. Shaw, M. Spaeth, S. B. Sutton, W. H. Williams, C. C. Widmayer, R. K. White, S. T. Yang, and B. M. Van Wonterghem, “National ignition facility laser performance status,” Appl. Opt. 46, 3276-3302 (2007).
[CrossRef] [PubMed]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

Toeppen, J. S.

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

Tunnell, T. W.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Van Atta, R. L.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

Van Wonterghem, B. M.

Vann, C. S.

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

E. S. Bliss, M. Feldman, J. E. Murray, and C. S. Vann, “Laser chain alignment with low power local light sources,” Proc. SPIE 2633, 760-767 (1995).
[CrossRef]

Watts, P. W.

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

Wegner, P. J.

Wei, G. H.

G. H. Wei, Matrix Optics (The House of Ordnance Industry, 1995).

White, R. K.

Widmayer, C. C.

Williams, W.

M. Show, W. Williams, R. House, and C. Haynam, “Laser performance operations model,” Proc. SPIE 5341, 73-83 (2004).
[CrossRef]

Williams, W. H.

Winters, S. E.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

Xiao, J.

Xu, R.

Xu, R. F.

Yang, S. T.

Zacharias, R. A.

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

Zhou, X.

Zhu, B. Q.

Y. Q. Gao, B. Q. Zhu, D. Z. Liu, Z. Y. Peng, and Z. Q. Lin, “Study of mathematical model for auto-alignment in four-pass amplifier,” Acta Phys. Sin. 57, 6992-6997 (2008).

Zhu, J.

Acta Phys. Sin. (1)

Y. Q. Gao, B. Q. Zhu, D. Z. Liu, Z. Y. Peng, and Z. Q. Lin, “Study of mathematical model for auto-alignment in four-pass amplifier,” Acta Phys. Sin. 57, 6992-6997 (2008).

Appl. Opt. (1)

Chin. Opt. Lett. (2)

Opt. Eng. (1)

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, M. R. Latta, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “Alignment and wavefront control systems of the national ignition facility,” Opt. Eng. 43, 2873-2884 (2004).
[CrossRef]

Proc. SPIE (6)

S. J. Boege, E. S. Bliss, C. J. Chocol, F. R. Holdener, J. L. Miller, J. S. Toeppen, C. S. Vann, and R. A. Zacharias, “NIF pointing and centering system and target alignment using a 351 nm laser source,” Proc. SPIE 3047, 248-258 (1997).

R. A. Zacharias, N. R. Beer, E. S. Bliss, S. C. Burkhart, S. J. Cohen, S. B. Sutton, R. L. Van Atta, S. E. Winters, J. T. Salmon, C. J. Stolz, D. C. Pigg, and T. J. Arnold, “National Ignition Facility alignment and wavefront control,” Proc. SPIE 5341, 168-179 (2004).
[CrossRef]

E. S. Bliss, M. Feldman, J. E. Murray, and C. S. Vann, “Laser chain alignment with low power local light sources,” Proc. SPIE 2633, 760-767 (1995).
[CrossRef]

Abdul A. S. Awwal, Clement Law, and S. Walter Ferguson, “Uncertainty detection for NIF normal pointing images,” Proc. SPIE 6695, 66950R (2007).
[CrossRef]

R. M. Malone, J. R. Celeste, P. M. Celliers, B. C. Frogget, R. L. Guyton, M. I. Kaufman, T. L. Lee, B. J. MacGowan, E. W. Ng, I. P. Reinbachs, R. B. Robinson, T. W. Tunnell, and P. W. Watts, “Optical alignment techniques for line-imaging velocity interferometry and line-imaging self-emission of targets at the National Ignition Facility,” Proc. SPIE 6676, 667608 (2007).
[CrossRef]

M. Show, W. Williams, R. House, and C. Haynam, “Laser performance operations model,” Proc. SPIE 5341, 73-83 (2004).
[CrossRef]

Other (1)

G. H. Wei, Matrix Optics (The House of Ordnance Industry, 1995).

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Figures (12)

Fig. 1
Fig. 1

Four-pass amplifier system. TSF, RM1, RM2, and PM1 are located in the same horizontal plane; CSF and PM2 are located in another horizontal plane. The part including TSF, RM1, and RM2 is illustrated by a top view. The part including CSF, PM1, and PM2 is illustrated by a front view.

Fig. 2
Fig. 2

Angle-adjusting part.

Fig. 3
Fig. 3

φ various α + β when θ 2 = 0.0014 rad .

Fig. 4
Fig. 4

Relationship between the angle of the reflection ray in the XOZ plane and that in the YOZ plane. The incident ray locates in (a) the YOZ plane and (b) the XOZ plane.

Fig. 5
Fig. 5

Optics causing rotation. The part including PM1 and PM2 is the front view and the part including RM2 is the top view.

Fig. 6
Fig. 6

Rotation characteristics in the vertical plane: (a) δ versus ϕ with different α and (b) α versus ϕ with different δ.

Fig. 7
Fig. 7

Model of the CSF. Vectors represent the ray matrix at different distances and angles.

Fig. 8
Fig. 8

Error factors in the first pass.

Fig. 9
Fig. 9

Error factors in the second pass.

Fig. 10
Fig. 10

Error factors in the third pass.

Fig. 11
Fig. 11

Output characteristics.

Fig. 12
Fig. 12

(a) δ versus ψ XOZ with different θ and (b) δ versus ψ YOZ with different θ.

Equations (28)

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I = R I ,
R = ( 1 2 N x 2 2 N x N y 2 N x N z 2 N y N x 1 2 N y 2 2 N y N z 2 N z N x 2 N z N y 1 2 N z 2 ) ,
N 1 = ( sin γ cos γ cos α cos γ sin α ) ,
N 2 = ( sin δ cos δ cos β cos δ sin β ) .
R 1 = ( cos 2 γ sin 2 γ cos α sin 2 γ sin α sin 2 γ cos α 1 2 cos 2 γ cos 2 α cos 2 γ sin 2 α sin 2 γ sin α cos 2 γ sin 2 α 1 2 cos 2 γ sin 2 α ) ,
R 2 = ( cos 2 δ sin 2 δ cos β sin 2 δ sin β sin 2 δ cos β 1 2 cos 2 δ cos 2 β cos 2 δ sin 2 β sin 2 δ sin β cos 2 δ sin 2 β 1 2 cos 2 δ sin 2 β ) .
R H = R 2 R 1 = ( 1 0 0 0 cos ( 2 β + 2 α ) sin ( 2 β + 2 α ) 0 sin ( 2 β + 2 α ) cos ( 2 β + 2 α ) ) .
I 2 = R H I 2 = ( sin ( θ 2 ) sin ( 2 β + 2 α ) cos ( θ 2 ) cos ( 2 β + 2 α ) cos ( θ 2 ) ) .
φ = arctan sin θ 2 cos θ 2 cos ( 2 α + 2 β ) .
R V = ( cos ( 2 γ ) 2 2 sin ( 2 γ ) 2 2 sin ( 2 γ ) 2 2 sin ( 2 γ ) cos 2 γ 1 cos 2 γ 2 2 sin ( 2 γ ) 1 cos 2 γ cos 2 γ ) .
I 3 = R V I 3 = ( 2 2 sin ( 2 γ ) × ( sin θ 3 + cos θ 3 ) cos 2 γ × ( sin θ 3 + cos θ 3 ) + cos θ 3 sin θ 3 cos 2 γ × ( sin θ 3 + cos θ 3 ) ) .
N 2 = ( 0 cos α sin α ) ,
N 3 = ( cos δ cos β sin δ cos δ sin β ) ,
N 4 = ( cos γ 0 sin γ ) .
I R = ( sin ( 2 δ ) cos β cos ( 2 α ) cos ( 2 δ ) sin ( 2 α ) sin ( 2 δ ) sin β sin ( 2 α ) cos ( 2 δ ) cos ( 2 α ) sin ( 2 δ ) sin β ) .
ϕ = arctan sin ( 2 δ ) cos β sin ( 2 α ) cos ( 2 δ ) cos ( 2 α ) sin ( 2 δ ) sin β .
r 1 = f θ 0 + Δ d 1 .
r 2 = f θ 0 d θ 0 ( θ 0 cot θ + 1 ) r 0 ,
r 3 = r 1 2 f Δ α 2 + 2 Δ d 2 .
r 5 = r 3 + 2 f Δ α 1 + 2 Δ d 3 ,
r 6 = r 5 + 2 Δ d 2 2 f Δ α 2 .
( r 0 θ 0 ) = ( ( f d ) ( r + Δ r Δ d 1 ) ( r + Δ r Δ d 1 ) cot θ + f ( r + Δ r Δ d 1 ) / f ) ,
( r 8 θ 8 ) = ( ( f d ) ( r + Δ r Δ d 1 ) ( r + Δ r Δ d 1 ) cot θ + f ( r + Δ r Δ d 1 ) / f π ) .
N 1 = ( 0 cos θ sin θ ) ,
RE 1 = R PM 2 R PM 1 R RM 2 R RM 1 IN 1 ,
RE 2 = R PM 2 R PM 1 R RM 2 R RM 1 IN 2 .
ψ XOZ = arctan RE 1 ( x ) RE 1 ( z ) arctan RE 2 ( x ) RE 2 ( z ) ,
ψ YOZ = arctan RE 1 ( y ) RE 1 ( z ) arctan RE 2 ( y ) RE 2 ( z ) .

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