Abstract

A phase-only spatial light modulator is used in conjunction with a spatial filter to provide independent control of the phase and amplitude of a laser beam. Continuous amplitude modulation of the beam is achieved with a resolution relevant to beam shaping of high-energy laser beams. Amplitude beam correction in a closed loop is demonstrated.

© 2004 Optical Society of America

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References

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  1. J. M. Auerbach and V. P. Karpenko, Appl. Opt. 33, 3179 (1994).
    [Crossref] [PubMed]
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    [Crossref]
  3. B. Wattellier, J.-C. Chanteloup, J. Fuchs, C. Sauteret, J.-P. Zou, and A. Migius, in Conference on Lasers and Electro-Optics (CLEO 2001), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 70–71.
  4. J. Bourderionnet, A. Brignon, J.-P. Huignard, A. Delboulbe, and B. Loiseaux, Opt. Lett. 26, 1958 (2001).
    [Crossref]
  5. B. Wattellier, C. Sauteret, J.-C. Chanteloup, and A. Migus, Opt. Lett. 27, 213 (2002).
    [Crossref]
  6. J. A. Davis, K. O. Valadez, and D. M. Cottrell, Appl. Opt. 42, 2003 (2003).
    [Crossref] [PubMed]
  7. P. Birch, R. Young, D. Budgett, and C. Chatwin, Opt. Lett. 26, 920 (2001).
    [Crossref]

2003 (1)

2002 (1)

2001 (3)

1994 (1)

Auerbach, J. M.

Bagnoud, V.

V. Bagnoud, J. Luce, L. Videau, and C. Rouyer, Opt. Lett. 27, 337 (2001).
[Crossref]

Birch, P.

Bourderionnet, J.

Brignon, A.

Budgett, D.

Chanteloup, J.-C.

B. Wattellier, C. Sauteret, J.-C. Chanteloup, and A. Migus, Opt. Lett. 27, 213 (2002).
[Crossref]

B. Wattellier, J.-C. Chanteloup, J. Fuchs, C. Sauteret, J.-P. Zou, and A. Migius, in Conference on Lasers and Electro-Optics (CLEO 2001), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 70–71.

Chatwin, C.

Cottrell, D. M.

Davis, J. A.

Delboulbe, A.

Fuchs, J.

B. Wattellier, J.-C. Chanteloup, J. Fuchs, C. Sauteret, J.-P. Zou, and A. Migius, in Conference on Lasers and Electro-Optics (CLEO 2001), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 70–71.

Huignard, J.-P.

Karpenko, V. P.

Loiseaux, B.

Luce, J.

V. Bagnoud, J. Luce, L. Videau, and C. Rouyer, Opt. Lett. 27, 337 (2001).
[Crossref]

Migius, A.

B. Wattellier, J.-C. Chanteloup, J. Fuchs, C. Sauteret, J.-P. Zou, and A. Migius, in Conference on Lasers and Electro-Optics (CLEO 2001), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 70–71.

Migus, A.

Rouyer, C.

V. Bagnoud, J. Luce, L. Videau, and C. Rouyer, Opt. Lett. 27, 337 (2001).
[Crossref]

Sauteret, C.

B. Wattellier, C. Sauteret, J.-C. Chanteloup, and A. Migus, Opt. Lett. 27, 213 (2002).
[Crossref]

B. Wattellier, J.-C. Chanteloup, J. Fuchs, C. Sauteret, J.-P. Zou, and A. Migius, in Conference on Lasers and Electro-Optics (CLEO 2001), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 70–71.

Valadez, K. O.

Videau, L.

V. Bagnoud, J. Luce, L. Videau, and C. Rouyer, Opt. Lett. 27, 337 (2001).
[Crossref]

Wattellier, B.

B. Wattellier, C. Sauteret, J.-C. Chanteloup, and A. Migus, Opt. Lett. 27, 213 (2002).
[Crossref]

B. Wattellier, J.-C. Chanteloup, J. Fuchs, C. Sauteret, J.-P. Zou, and A. Migius, in Conference on Lasers and Electro-Optics (CLEO 2001), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 70–71.

Young, R.

Zou, J.-P.

B. Wattellier, J.-C. Chanteloup, J. Fuchs, C. Sauteret, J.-P. Zou, and A. Migius, in Conference on Lasers and Electro-Optics (CLEO 2001), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 70–71.

Appl. Opt. (2)

Opt. Lett. (4)

Other (1)

B. Wattellier, J.-C. Chanteloup, J. Fuchs, C. Sauteret, J.-P. Zou, and A. Migius, in Conference on Lasers and Electro-Optics (CLEO 2001), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 70–71.

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Figures (5)

Fig. 1
Fig. 1

Independent phase- and amplitude-modulation scheme. The input beam is modulated in phase by the phase-only SLM and then propagates through a spatial filter (SF). The SLM is placed at a focal distance from the SF lens so the electromagnetic field distribution at the SF pinhole is proportional to the Fourier transform of the electromagnetic field distribution at the SLM location.

Fig. 2
Fig. 2

Experimental setup: SF, spatial-filter pinhole; H-S, Hartmann–Shack wave-front sensor. The SLM is used in reflection and a flip-in mirror is used to measure either the intensity or phase profiles.

Fig. 3
Fig. 3

A modulated beam demonstrates the amplitude control offered by the combined SLM–spatial-filter system. The lineout in the top portion demonstrates the effective transmission function, while the bottom part demonstrates high-contrast modulation with as much as 50:1 extinction ratio.

Fig. 4
Fig. 4

Independent phase and amplitude modulation is demonstrated. The mask (a) leads to a beam that exhibits simultaneous amplitude (b) and phase (c) modulation.

Fig. 5
Fig. 5

Dynamic amplitude beam control. The initial beam (a) is shaped into top-hat beams (b) and (c). The lineouts in (d) show the typical error of the intensity goal.

Equations (5)

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

E=E0 expjϕx,
E1=E0nδx-nΛ rectΛ/2xexpjϕ1,
E2=E0nδx-nΛ rectΛ/2x-Λ/2expjϕ2,
E˜E0 sin cπΛν2cosΔϕ2+πΛν2×expjϕ1+ϕ22-πΛν2nδν-n/Λ,
E˜0E0 cosΔϕ2expjϕ1+ϕ22.

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