Abstract

We propose and demonstrate the simultaneous adaptive control of a dual deformable mirror system for full-field beam shaping based on an improved stochastic parallel gradient descent (SPGD) algorithm and dual-phase-only liquid crystal spatial light modulators (LC-SLMs). One LC-SLM adaptively redistributes the intensity of the input beam and the other adaptively compensates the wavefront of the output beam. However, the intensity redistribution and wavefront compensation closed loops run simultaneously. In addition, the intensity redistribution and wavefront compensation closed loops adopt their respective metric functions independently. Experimental results show that the improved SPGD algorithm can not only be used for controlling dual deformable mirror configuration to adaptively generate near diffraction-limited flattop beams with desired intensity distributions, but also can greatly improve the control bandwidth.

© 2013 Optical Society of America

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2010 (2)

2008 (2)

C. Liu and S. Zhang, Opt. Express 16, 6675 (2008).
[CrossRef]

M. Serkan and H. Kirkici, Appl. Opt 47, 230 (2008).
[CrossRef]

2006 (1)

D. L. Shealy and J. A. Hoffnagle, Appl. Opt 45, 5118 (2006).
[CrossRef]

2005 (1)

2000 (1)

J. A. Hoffnagle and C. M. Jefferson, Appl. Opt 39, 5488 (2000).
[CrossRef]

1998 (3)

1997 (1)

J. J. Kasinski and R. L. Burnham, Opt. Lett 22, 1062 (1997).
[CrossRef]

Arif, M.

M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, Appl. Opt. 37, 649 (1998).
[CrossRef]

M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, Appl. Opt 37, 4206 (1998).
[CrossRef]

Awwal, A. A. S.

M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, Appl. Opt 37, 4206 (1998).
[CrossRef]

M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, Appl. Opt. 37, 649 (1998).
[CrossRef]

Bulte, H.

Burnham, R. L.

J. J. Kasinski and R. L. Burnham, Opt. Lett 22, 1062 (1997).
[CrossRef]

Dickey, F. M.

F. M. Dickey, S. C. Holswade, and D. L. Shealy, Laser Beam Shaping Applications (CRC, 2005).

El-Agmy, R.

Greenaway, A. H.

Hoffnagle, J. A.

D. L. Shealy and J. A. Hoffnagle, Appl. Opt 45, 5118 (2006).
[CrossRef]

J. A. Hoffnagle and C. M. Jefferson, Appl. Opt 39, 5488 (2000).
[CrossRef]

Holswade, S. C.

F. M. Dickey, S. C. Holswade, and D. L. Shealy, Laser Beam Shaping Applications (CRC, 2005).

Hossain, M. M.

M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, Appl. Opt. 37, 649 (1998).
[CrossRef]

M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, Appl. Opt 37, 4206 (1998).
[CrossRef]

Islam, M. N.

M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, Appl. Opt 37, 4206 (1998).
[CrossRef]

M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, Appl. Opt. 37, 649 (1998).
[CrossRef]

Jefferson, C. M.

J. A. Hoffnagle and C. M. Jefferson, Appl. Opt 39, 5488 (2000).
[CrossRef]

Kasinski, J. J.

J. J. Kasinski and R. L. Burnham, Opt. Lett 22, 1062 (1997).
[CrossRef]

Kirkici, H.

M. Serkan and H. Kirkici, Appl. Opt 47, 230 (2008).
[CrossRef]

Liu, C.

Liu, C. H.

Liu, Z. J.

Ma, H. T.

Ma, Y. X.

Reid, D.

Serkan, M.

M. Serkan and H. Kirkici, Appl. Opt 47, 230 (2008).
[CrossRef]

Shealy, D. L.

D. L. Shealy and J. A. Hoffnagle, Appl. Opt 45, 5118 (2006).
[CrossRef]

F. M. Dickey, S. C. Holswade, and D. L. Shealy, Laser Beam Shaping Applications (CRC, 2005).

Sivokon, V. P.

Vorontsov, M. A.

Wang, S. H.

Wang, X. L.

Xi, F. J.

Xu, X. J.

Zhang, S.

Zhou, P.

Appl. Opt (4)

D. L. Shealy and J. A. Hoffnagle, Appl. Opt 45, 5118 (2006).
[CrossRef]

J. A. Hoffnagle and C. M. Jefferson, Appl. Opt 39, 5488 (2000).
[CrossRef]

M. Serkan and H. Kirkici, Appl. Opt 47, 230 (2008).
[CrossRef]

M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, Appl. Opt 37, 4206 (1998).
[CrossRef]

Appl. Opt. (1)

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

Opt. Express (3)

Opt. Lett (1)

J. J. Kasinski and R. L. Burnham, Opt. Lett 22, 1062 (1997).
[CrossRef]

Opt. Lett. (1)

Other (1)

F. M. Dickey, S. C. Holswade, and D. L. Shealy, Laser Beam Shaping Applications (CRC, 2005).

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Figures (3)

Fig. 1.
Fig. 1.

Experimental configuration of the beam-shaping system. The configuration shows the feedback loop formed by phase-only LC-SLMs, CCD cameras, and control computers. Computer 1 and 2 are connected by serial communication.

Fig. 2.
Fig. 2.

Intensity distribution of the input beam, and evolution of the relative fit error metric and phase error metric during the improved SPGD algorithm execution: (a) intensity distribution of the input beam, (b) evolution of the relative fit error metric, and (c) evolution of the relative phase error metric.

Fig. 3.
Fig. 3.

Near-field and far-field intensity distributions of the output beam and its gray value: (a) near-field intensity distribution and (b) far-field intensity distribution.

Metrics