Abstract

The single frequency dithering technique for coherent beam combination with one single modulation frequency and without a reference beam is presented for the first time to our knowledge. Coherent beam combination of four fiber amplifiers is successfully demonstrated by using the single-dithering technique. When the phase control system is in the closed loop, the fringe contrast of far-field intensity pattern is improved by more than 85% from 8% in open loop, and the residual phase error is less than λ/20. Experimental results reveal that the single-dithering technique has great potential in scaling to a large number of beamlets with a simple phase control system and low cost.

© 2010 Optical Society of America

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  1. J. Anderegg, S. Broanan, M. Weber, H. Komine, and M. Wickham, Proc. SPIE 4974, 1 (2003).
    [CrossRef]
  2. R. Xiao, J. Hou, M. Liu, and Z. F. Jiang, Opt. Express 16, 2015 (2008).
    [CrossRef] [PubMed]
  3. T. M. Shay and V. Benham, Proc. SPIE 5550, 313 (2004).
    [CrossRef]
  4. T. M. Shay, Opt. Express 14, 12188 (2006).
    [CrossRef] [PubMed]
  5. T. M. Shay, V. Benham, J. T. Baker, C. B. Ward, A. D. Sanchez, M. A. Culpepper, S. D. Pillkington, L. J. Spring, L. D. J. Nelson, and L. C. A. Lu, Opt. Express 14, 12015 (2006).
    [CrossRef] [PubMed]
  6. V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
    [CrossRef]
  7. L. Liu and M. A. Vorontsov, Proc. SPIE 5895, 58950P (2005).
    [CrossRef]
  8. L. Liu, M. A. Vorontsov, E. Polnau, T. Weyrauch, and L. A. Beresnev, Proc. SPIE 6708, 67080K (2007).
    [CrossRef]
  9. P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
    [CrossRef]
  10. Q. Lou, J. Zhou, B. He, and H. Zhao, Opt. Photonics News 19, 46 (2008).
    [CrossRef]
  11. J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
    [CrossRef]
  12. T. R. O’Meara, J. Opt. Soc. Am. 67, 306 (1977).
    [CrossRef]
  13. D. C. Jones, C. D. Stacey, and A. M. Scott, Opt. Lett. 32, 466 (2007).
    [CrossRef] [PubMed]

2009

P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
[CrossRef]

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

2008

Q. Lou, J. Zhou, B. He, and H. Zhao, Opt. Photonics News 19, 46 (2008).
[CrossRef]

R. Xiao, J. Hou, M. Liu, and Z. F. Jiang, Opt. Express 16, 2015 (2008).
[CrossRef] [PubMed]

2007

L. Liu, M. A. Vorontsov, E. Polnau, T. Weyrauch, and L. A. Beresnev, Proc. SPIE 6708, 67080K (2007).
[CrossRef]

D. C. Jones, C. D. Stacey, and A. M. Scott, Opt. Lett. 32, 466 (2007).
[CrossRef] [PubMed]

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

2006

2005

L. Liu and M. A. Vorontsov, Proc. SPIE 5895, 58950P (2005).
[CrossRef]

2004

T. M. Shay and V. Benham, Proc. SPIE 5550, 313 (2004).
[CrossRef]

2003

J. Anderegg, S. Broanan, M. Weber, H. Komine, and M. Wickham, Proc. SPIE 4974, 1 (2003).
[CrossRef]

1977

Anderegg, J.

J. Anderegg, S. Broanan, M. Weber, H. Komine, and M. Wickham, Proc. SPIE 4974, 1 (2003).
[CrossRef]

Baker, J. T.

Benham, V.

Bennaï, B.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Beresnev, L. A.

L. Liu, M. A. Vorontsov, E. Polnau, T. Weyrauch, and L. A. Beresnev, Proc. SPIE 6708, 67080K (2007).
[CrossRef]

Bourdon, P.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Broanan, S.

J. Anderegg, S. Broanan, M. Weber, H. Komine, and M. Wickham, Proc. SPIE 4974, 1 (2003).
[CrossRef]

Canat, G.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Culpepper, M. A.

Eberhardt, R.

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

Goular, D.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Guo, S.

P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
[CrossRef]

He, B.

Q. Lou, J. Zhou, B. He, and H. Zhao, Opt. Photonics News 19, 46 (2008).
[CrossRef]

Hou, J.

Jaouën, Y.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Jiang, Z. F.

Jolivet, V.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Jones, D. C.

Klingebiel, S.

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

Komine, H.

J. Anderegg, S. Broanan, M. Weber, H. Komine, and M. Wickham, Proc. SPIE 4974, 1 (2003).
[CrossRef]

Limpert, J.

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

Liu, L.

L. Liu, M. A. Vorontsov, E. Polnau, T. Weyrauch, and L. A. Beresnev, Proc. SPIE 6708, 67080K (2007).
[CrossRef]

L. Liu and M. A. Vorontsov, Proc. SPIE 5895, 58950P (2005).
[CrossRef]

Liu, M.

Liu, Z.

P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
[CrossRef]

Lombard, L.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Lou, Q.

Q. Lou, J. Zhou, B. He, and H. Zhao, Opt. Photonics News 19, 46 (2008).
[CrossRef]

Lu, L. C. A.

Ma, H.

P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
[CrossRef]

Ma, Y.

P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
[CrossRef]

Moreau, B.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Nelson, L. D. J.

O’Meara, T. R.

Peschel, T.

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

Pillkington, S. D.

Polnau, E.

L. Liu, M. A. Vorontsov, E. Polnau, T. Weyrauch, and L. A. Beresnev, Proc. SPIE 6708, 67080K (2007).
[CrossRef]

Pourtal, E.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Röser, F.

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

Sanchez, A. D.

Schreiber, T.

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

Scott, A. M.

Shay, T. M.

Spring, L. J.

Stacey, C. D.

Tünnermann, A.

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

Vasseur, O.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

Vorontsov, M. A.

L. Liu, M. A. Vorontsov, E. Polnau, T. Weyrauch, and L. A. Beresnev, Proc. SPIE 6708, 67080K (2007).
[CrossRef]

L. Liu and M. A. Vorontsov, Proc. SPIE 5895, 58950P (2005).
[CrossRef]

Wang, X.

P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
[CrossRef]

Ward, C. B.

Weber, M.

J. Anderegg, S. Broanan, M. Weber, H. Komine, and M. Wickham, Proc. SPIE 4974, 1 (2003).
[CrossRef]

Weyrauch, T.

L. Liu, M. A. Vorontsov, E. Polnau, T. Weyrauch, and L. A. Beresnev, Proc. SPIE 6708, 67080K (2007).
[CrossRef]

Wickham, M.

J. Anderegg, S. Broanan, M. Weber, H. Komine, and M. Wickham, Proc. SPIE 4974, 1 (2003).
[CrossRef]

Wirth, C.

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

Xiao, R.

Xu, X.

P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
[CrossRef]

Zhao, H.

Q. Lou, J. Zhou, B. He, and H. Zhao, Opt. Photonics News 19, 46 (2008).
[CrossRef]

Zhou, J.

Q. Lou, J. Zhou, B. He, and H. Zhao, Opt. Photonics News 19, 46 (2008).
[CrossRef]

Zhou, P.

P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

V. Jolivet, P. Bourdon, B. Bennaï, L. Lombard, D. Goular, E. Pourtal, G. Canat, Y. Jaouën, B. Moreau, and O. Vasseur, IEEE J. Sel. Top. Quantum Electron. 15, 257 (2009).
[CrossRef]

P. Zhou, Z. Liu, X. Wang, Y. Ma, H. Ma, X. Xu, and S. Guo, IEEE J. Sel. Top. Quantum Electron. 15, 248 (2009).
[CrossRef]

J. Limpert, F. Röser, S. Klingebiel, T. Schreiber, C. Wirth, T. Peschel, R. Eberhardt, and A. Tünnermann, IEEE J. Sel. Top. Quantum Electron. 13, 537 (2007).
[CrossRef]

J. Opt. Soc. Am.

Opt. Express

Opt. Lett.

Opt. Photonics News

Q. Lou, J. Zhou, B. He, and H. Zhao, Opt. Photonics News 19, 46 (2008).
[CrossRef]

Proc. SPIE

L. Liu and M. A. Vorontsov, Proc. SPIE 5895, 58950P (2005).
[CrossRef]

L. Liu, M. A. Vorontsov, E. Polnau, T. Weyrauch, and L. A. Beresnev, Proc. SPIE 6708, 67080K (2007).
[CrossRef]

J. Anderegg, S. Broanan, M. Weber, H. Komine, and M. Wickham, Proc. SPIE 4974, 1 (2003).
[CrossRef]

T. M. Shay and V. Benham, Proc. SPIE 5550, 313 (2004).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

The scheme of the single-dithering technique.

Fig. 2
Fig. 2

The experimental setup of coherent beam combination of four beams.

Fig. 3
Fig. 3

Long-exposure far-field intensity pattern of the combined laser beam (a) open-loop (b) closed-loop (c) theoretical pattern.

Fig. 4
Fig. 4

Time series signals and spectral density of energy encircled in the pinhole in open loop and closed loop (a) time series signals (b) spectral density.

Equations (7)

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

E i ( t ) = E i 0   cos ( ω L t + ϕ i )     ( where   i = 1 , 2 , 3 , , k ) ,
E 1 ( t ) = E 10   cos ( ω L t + ϕ 1 + β   sin ( ω t ) ) ,
I ( t ) = ε 0 μ 0 ( l = 1 k E l ( t ) ) ( j = 1 k E j ( t ) ) ,
i P D ( t ) = R P D S ε 0 μ 0 ( l = 1 k E l ( t ) ) ( j = 1 k E j ( t ) ) ,
V 1 = 1 τ 0 τ i P D ( t ) sin ( ω t ) d t .
V 1 = R P D S E 10 J 1 ( β ) ε 0 μ 0 ( j = 2 k E j 0   sin ( ϕ j ϕ 1 ) ) .
V i = R P D S E i 0 J 1 ( β ) ε 0 μ 0 ( j = 1 j i k E j 0   sin ( ϕ j ϕ i ) ) ,

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