Abstract

A method is presented to detect entire beam path aberrations of many laser systems, especially the SG-III inertial confinement fusion (ICF) laser system, which is under construction in China. Instead of a Hartman–Shack (HS) sensor, a CCD will be introduced into the target chamber of the ICF laser system. The HS sensor and the CCD could record the near-field wavefront distributions and the intensity signals of their corresponding focal spots, respectively. An amendatory phase-retrieval method is introduced to reconstruct the aberrations of the entire beam path from near-field wavefront distributions and their corresponding focal spots intensity. Principle experimental results indicate that the aberrations of the entire beam path of a laser system can be precisely detected based on this method.

© 2009 Optical Society of America

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  1. L. Huagui, J. Wenhan, and X. Hao, “Measurement of atmospheric turbulence characteristics by Hartmann-Shack wavefront sensor,” (in Chinese) Opto-Electron. Eng. 22, 46-49(1995).
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    [CrossRef]
  3. W. H. Jiang, “Adaptive optics technique investigations in the Institute of Optics and Electronics,” (in Chinese) Opto-Electron. Eng. 22, 1-13 (1995).
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  5. D. Zhang, Z. P. Yang, and H. F. Duan, “Characteristics of wavefront aberration in the single beam principle prototype of the next-generation ICF system,” Proc. SPIE 4825, 249-256 (2002).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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2007 (2)

M. W. Ao, Z. P. Yang, P. Yang, C. H. Rao, and W. H. Jiang, “Aberration correction for multi-pass amplification system with 90° beam rotation,” (in Chinese) High Power Laser Part. Beams 19, 1167-1171 (2007).

C. Grosset-Grange, J.-N. Barnier, and C. Chappuis, “Design principle and first results obtained on the LMJ deformable mirror prototype,” Proc SPIE 6584, 658403(2007).
[CrossRef]

2006 (1)

F. Wang, Q. H. Zhu, D. B. Jiang, Q. Q. Zhang, W. Deng, and F. Jin, “Optimization of optical design of the master amplifier in multi-pass off-axis amplification system,” (in Chinese) Acta Phys. Sin. 55, 5277-5282 (2006).

2004 (1)

E. I. Moses, “Optical engineering at the Lawrence Livermore National Laboratory II: the National Ignition Facility,” Proc. SPIE 5341, 13-24 (2004).
[CrossRef]

2002 (1)

D. Zhang, Z. P. Yang, and H. F. Duan, “Characteristics of wavefront aberration in the single beam principle prototype of the next-generation ICF system,” Proc. SPIE 4825, 249-256 (2002).
[CrossRef]

1999 (1)

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

1996 (1)

D. R. Neal, W. J. Alford, and J. K. Gruetzner, “Amplitude and phase beam characterization using a two-dimensional wavefront sensor,” Proc. SPIE 2870, 72-82 (1996).
[CrossRef]

1995 (2)

W. H. Jiang, “Adaptive optics technique investigations in the Institute of Optics and Electronics,” (in Chinese) Opto-Electron. Eng. 22, 1-13 (1995).

L. Huagui, J. Wenhan, and X. Hao, “Measurement of atmospheric turbulence characteristics by Hartmann-Shack wavefront sensor,” (in Chinese) Opto-Electron. Eng. 22, 46-49(1995).

1994 (1)

1972 (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Jena) 35, 237-246 (1972).

Alford, W. J.

D. R. Neal, W. J. Alford, and J. K. Gruetzner, “Amplitude and phase beam characterization using a two-dimensional wavefront sensor,” Proc. SPIE 2870, 72-82 (1996).
[CrossRef]

Ao, M. W.

M. W. Ao, Z. P. Yang, P. Yang, C. H. Rao, and W. H. Jiang, “Aberration correction for multi-pass amplification system with 90° beam rotation,” (in Chinese) High Power Laser Part. Beams 19, 1167-1171 (2007).

Auerbach, J. M.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Barker, C. E.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Barnier, J.-N.

C. Grosset-Grange, J.-N. Barnier, and C. Chappuis, “Design principle and first results obtained on the LMJ deformable mirror prototype,” Proc SPIE 6584, 658403(2007).
[CrossRef]

Burkhart, S. C.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Chappuis, C.

C. Grosset-Grange, J.-N. Barnier, and C. Chappuis, “Design principle and first results obtained on the LMJ deformable mirror prototype,” Proc SPIE 6584, 658403(2007).
[CrossRef]

Couture, S. A.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Deng, W.

F. Wang, Q. H. Zhu, D. B. Jiang, Q. Q. Zhang, W. Deng, and F. Jin, “Optimization of optical design of the master amplifier in multi-pass off-axis amplification system,” (in Chinese) Acta Phys. Sin. 55, 5277-5282 (2006).

Deyoreo, J. J.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Dong, B.

Duan, H. F.

D. Zhang, Z. P. Yang, and H. F. Duan, “Characteristics of wavefront aberration in the single beam principle prototype of the next-generation ICF system,” Proc. SPIE 4825, 249-256 (2002).
[CrossRef]

Ersoy, O. K.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Jena) 35, 237-246 (1972).

Grosset-Grange, C.

C. Grosset-Grange, J.-N. Barnier, and C. Chappuis, “Design principle and first results obtained on the LMJ deformable mirror prototype,” Proc SPIE 6584, 658403(2007).
[CrossRef]

Gruetzner, J. K.

D. R. Neal, W. J. Alford, and J. K. Gruetzner, “Amplitude and phase beam characterization using a two-dimensional wavefront sensor,” Proc. SPIE 2870, 72-82 (1996).
[CrossRef]

Gu, B.

Hackel, L. A.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Hao, X.

L. Huagui, J. Wenhan, and X. Hao, “Measurement of atmospheric turbulence characteristics by Hartmann-Shack wavefront sensor,” (in Chinese) Opto-Electron. Eng. 22, 46-49(1995).

Hibbard, R. L.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Huagui, L.

L. Huagui, J. Wenhan, and X. Hao, “Measurement of atmospheric turbulence characteristics by Hartmann-Shack wavefront sensor,” (in Chinese) Opto-Electron. Eng. 22, 46-49(1995).

Jiang, D. B.

F. Wang, Q. H. Zhu, D. B. Jiang, Q. Q. Zhang, W. Deng, and F. Jin, “Optimization of optical design of the master amplifier in multi-pass off-axis amplification system,” (in Chinese) Acta Phys. Sin. 55, 5277-5282 (2006).

Jiang, W. H.

M. W. Ao, Z. P. Yang, P. Yang, C. H. Rao, and W. H. Jiang, “Aberration correction for multi-pass amplification system with 90° beam rotation,” (in Chinese) High Power Laser Part. Beams 19, 1167-1171 (2007).

W. H. Jiang, “Adaptive optics technique investigations in the Institute of Optics and Electronics,” (in Chinese) Opto-Electron. Eng. 22, 1-13 (1995).

Jin, F.

F. Wang, Q. H. Zhu, D. B. Jiang, Q. Q. Zhang, W. Deng, and F. Jin, “Optimization of optical design of the master amplifier in multi-pass off-axis amplification system,” (in Chinese) Acta Phys. Sin. 55, 5277-5282 (2006).

Liou, L. W.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Moses, E. I.

E. I. Moses, “Optical engineering at the Lawrence Livermore National Laboratory II: the National Ignition Facility,” Proc. SPIE 5341, 13-24 (2004).
[CrossRef]

Neal, D. R.

D. R. Neal, W. J. Alford, and J. K. Gruetzner, “Amplitude and phase beam characterization using a two-dimensional wavefront sensor,” Proc. SPIE 2870, 72-82 (1996).
[CrossRef]

Norton, M. A.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Rao, C. H.

M. W. Ao, Z. P. Yang, P. Yang, C. H. Rao, and W. H. Jiang, “Aberration correction for multi-pass amplification system with 90° beam rotation,” (in Chinese) High Power Laser Part. Beams 19, 1167-1171 (2007).

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Jena) 35, 237-246 (1972).

Wang, F.

F. Wang, Q. H. Zhu, D. B. Jiang, Q. Q. Zhang, W. Deng, and F. Jin, “Optimization of optical design of the master amplifier in multi-pass off-axis amplification system,” (in Chinese) Acta Phys. Sin. 55, 5277-5282 (2006).

Wegner, P. J.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Wenhan, J.

L. Huagui, J. Wenhan, and X. Hao, “Measurement of atmospheric turbulence characteristics by Hartmann-Shack wavefront sensor,” (in Chinese) Opto-Electron. Eng. 22, 46-49(1995).

Whitman, P. A.

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

Yang, G.

Yang, P.

M. W. Ao, Z. P. Yang, P. Yang, C. H. Rao, and W. H. Jiang, “Aberration correction for multi-pass amplification system with 90° beam rotation,” (in Chinese) High Power Laser Part. Beams 19, 1167-1171 (2007).

Yang, Z. P.

M. W. Ao, Z. P. Yang, P. Yang, C. H. Rao, and W. H. Jiang, “Aberration correction for multi-pass amplification system with 90° beam rotation,” (in Chinese) High Power Laser Part. Beams 19, 1167-1171 (2007).

D. Zhang, Z. P. Yang, and H. F. Duan, “Characteristics of wavefront aberration in the single beam principle prototype of the next-generation ICF system,” Proc. SPIE 4825, 249-256 (2002).
[CrossRef]

Zhang, D.

D. Zhang, Z. P. Yang, and H. F. Duan, “Characteristics of wavefront aberration in the single beam principle prototype of the next-generation ICF system,” Proc. SPIE 4825, 249-256 (2002).
[CrossRef]

Zhang, Q. Q.

F. Wang, Q. H. Zhu, D. B. Jiang, Q. Q. Zhang, W. Deng, and F. Jin, “Optimization of optical design of the master amplifier in multi-pass off-axis amplification system,” (in Chinese) Acta Phys. Sin. 55, 5277-5282 (2006).

Zhu, Q. H.

F. Wang, Q. H. Zhu, D. B. Jiang, Q. Q. Zhang, W. Deng, and F. Jin, “Optimization of optical design of the master amplifier in multi-pass off-axis amplification system,” (in Chinese) Acta Phys. Sin. 55, 5277-5282 (2006).

Zhuang, J.

Acta Phys. Sin. (1)

F. Wang, Q. H. Zhu, D. B. Jiang, Q. Q. Zhang, W. Deng, and F. Jin, “Optimization of optical design of the master amplifier in multi-pass off-axis amplification system,” (in Chinese) Acta Phys. Sin. 55, 5277-5282 (2006).

Appl. Opt. (1)

High Power Laser Part. Beams (1)

M. W. Ao, Z. P. Yang, P. Yang, C. H. Rao, and W. H. Jiang, “Aberration correction for multi-pass amplification system with 90° beam rotation,” (in Chinese) High Power Laser Part. Beams 19, 1167-1171 (2007).

Optik (Jena) (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Jena) 35, 237-246 (1972).

Opto-Electron. Eng. (2)

W. H. Jiang, “Adaptive optics technique investigations in the Institute of Optics and Electronics,” (in Chinese) Opto-Electron. Eng. 22, 1-13 (1995).

L. Huagui, J. Wenhan, and X. Hao, “Measurement of atmospheric turbulence characteristics by Hartmann-Shack wavefront sensor,” (in Chinese) Opto-Electron. Eng. 22, 46-49(1995).

Proc SPIE (1)

C. Grosset-Grange, J.-N. Barnier, and C. Chappuis, “Design principle and first results obtained on the LMJ deformable mirror prototype,” Proc SPIE 6584, 658403(2007).
[CrossRef]

Proc. SPIE (4)

P. J. Wegner, J. M. Auerbach, C. E. Barker, S. C. Burkhart, S. A. Couture, J. J. Deyoreo, R. L. Hibbard, L. W. Liou, M. A. Norton, P. A. Whitman, and L. A. Hackel, “Frequency converter development for the National Ignition Facility,” Proc. SPIE 3492, 392-405 (1999).
[CrossRef]

E. I. Moses, “Optical engineering at the Lawrence Livermore National Laboratory II: the National Ignition Facility,” Proc. SPIE 5341, 13-24 (2004).
[CrossRef]

D. R. Neal, W. J. Alford, and J. K. Gruetzner, “Amplitude and phase beam characterization using a two-dimensional wavefront sensor,” Proc. SPIE 2870, 72-82 (1996).
[CrossRef]

D. Zhang, Z. P. Yang, and H. F. Duan, “Characteristics of wavefront aberration in the single beam principle prototype of the next-generation ICF system,” Proc. SPIE 4825, 249-256 (2002).
[CrossRef]

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Figures (7)

Fig. 1
Fig. 1

Configuration of SG-III prototype.

Fig. 2
Fig. 2

Flowchart of the iterative reconstruction processing.

Fig. 3
Fig. 3

Experimental layout of entire beam phase aberration measurement.

Fig. 4
Fig. 4

Near-field wavefront distributions of phase plates ϕ 1 ϕ 5 .

Fig. 5
Fig. 5

Far-field focal intensity distributions: | I 0 | 2 corresponding to ϕ 0 and | I 1 | 2 | I 5 | 2 corresponding to ( ϕ 1 + ϕ 0 ) ( ϕ 5 + ϕ 0 ) , respectively.

Fig. 6
Fig. 6

Relationship between ε and iterative times.

Fig. 7
Fig. 7

Experimental reconstruction results of ϕ 0 . (a)  ϕ 0 measured by interferometer. (b)  ϕ 0 reconstructed by the amendatory phase-retrieval method. (c) Residual wavefront aberrations.

Equations (6)

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

A 0 ( x , y ) = | A 0 ( x , y ) | exp { i 2 π ϕ 0 ( x , y ) } ,
I 0 ( x 1 , y 1 ) = | I 0 ( x 1 , y 1 ) | exp { i 2 π ψ 0 ( x 1 , y 1 ) } ,
A n ( x , y ) = | A n ( x , y ) | exp [ i 2 π ( ϕ 0 ( x , y ) + ϕ n ( x , y ) ) ] n = 1 , 2 ,
I n ( x 1 , y 1 ) = | I n ( x 1 , y 1 ) | exp ( i 2 π ψ n ( x 1 , y 1 ) ) n = 1 , 2 .
| A n ( x , y ) | 2 = | A 0 ( x , y ) | 2 n = 1 , 2 .
ε = [ | I 0 | | I 0 | ] 2 / | I 0 | 2 .

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