Abstract

A method of producing an arbitrary complex field modulation by use of two pixels of an analog ferroelectric spatial light modulator (SLM) is demonstrated. The method uses the gray-scale modulation capabilities of a SLM to spatially encode the complex data on two pixels. A spatial filter is used to remove the carrier signal. This technique gives fast gray-level amplitude and phase modulation.

© 2001 Optical Society of America

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References

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  1. P. M. Birch, J. Gourlay, N. P. Doble, and A. Purvis, Proc. SPIE 3126, 185 (1997).
    [CrossRef]
  2. R. D. Juday and J. M. Florence, Proc. SPIE 1558, 499 (1991).
    [CrossRef]
  3. J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
    [CrossRef]
  4. G. Tricoles, Appl. Opt. 26, 4351 (1987).
    [CrossRef] [PubMed]
  5. K. A. Bauchert, S. A. Serati, G. D. Sharp, and D. J. McKnight, Proc. SPIE 3073, 170 (1997).
    [CrossRef]
  6. P. M. Birch, R. C. D. Young, D. M. Budgett, and C. R. Chatwin, Opt. Commun. 175, 347 (2000).
    [CrossRef]

2000 (1)

P. M. Birch, R. C. D. Young, D. M. Budgett, and C. R. Chatwin, Opt. Commun. 175, 347 (2000).
[CrossRef]

1997 (2)

K. A. Bauchert, S. A. Serati, G. D. Sharp, and D. J. McKnight, Proc. SPIE 3073, 170 (1997).
[CrossRef]

P. M. Birch, J. Gourlay, N. P. Doble, and A. Purvis, Proc. SPIE 3126, 185 (1997).
[CrossRef]

1991 (2)

R. D. Juday and J. M. Florence, Proc. SPIE 1558, 499 (1991).
[CrossRef]

J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
[CrossRef]

1987 (1)

Bauchert, K. A.

K. A. Bauchert, S. A. Serati, G. D. Sharp, and D. J. McKnight, Proc. SPIE 3073, 170 (1997).
[CrossRef]

Birch, P. M.

P. M. Birch, R. C. D. Young, D. M. Budgett, and C. R. Chatwin, Opt. Commun. 175, 347 (2000).
[CrossRef]

P. M. Birch, J. Gourlay, N. P. Doble, and A. Purvis, Proc. SPIE 3126, 185 (1997).
[CrossRef]

Budgett, D. M.

P. M. Birch, R. C. D. Young, D. M. Budgett, and C. R. Chatwin, Opt. Commun. 175, 347 (2000).
[CrossRef]

Chatwin, C. R.

P. M. Birch, R. C. D. Young, D. M. Budgett, and C. R. Chatwin, Opt. Commun. 175, 347 (2000).
[CrossRef]

Doble, N. P.

P. M. Birch, J. Gourlay, N. P. Doble, and A. Purvis, Proc. SPIE 3126, 185 (1997).
[CrossRef]

Florence, J. M.

R. D. Juday and J. M. Florence, Proc. SPIE 1558, 499 (1991).
[CrossRef]

J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
[CrossRef]

Gourlay, J.

P. M. Birch, J. Gourlay, N. P. Doble, and A. Purvis, Proc. SPIE 3126, 185 (1997).
[CrossRef]

Juday, R. D.

J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
[CrossRef]

R. D. Juday and J. M. Florence, Proc. SPIE 1558, 499 (1991).
[CrossRef]

McKnight, D. J.

K. A. Bauchert, S. A. Serati, G. D. Sharp, and D. J. McKnight, Proc. SPIE 3073, 170 (1997).
[CrossRef]

Purvis, A.

P. M. Birch, J. Gourlay, N. P. Doble, and A. Purvis, Proc. SPIE 3126, 185 (1997).
[CrossRef]

Serati, S. A.

K. A. Bauchert, S. A. Serati, G. D. Sharp, and D. J. McKnight, Proc. SPIE 3073, 170 (1997).
[CrossRef]

Sharp, G. D.

K. A. Bauchert, S. A. Serati, G. D. Sharp, and D. J. McKnight, Proc. SPIE 3073, 170 (1997).
[CrossRef]

Tricoles, G.

Young, R. C. D.

P. M. Birch, R. C. D. Young, D. M. Budgett, and C. R. Chatwin, Opt. Commun. 175, 347 (2000).
[CrossRef]

Appl. Opt. (1)

Opt. Commun. (1)

P. M. Birch, R. C. D. Young, D. M. Budgett, and C. R. Chatwin, Opt. Commun. 175, 347 (2000).
[CrossRef]

Proc. SPIE (4)

K. A. Bauchert, S. A. Serati, G. D. Sharp, and D. J. McKnight, Proc. SPIE 3073, 170 (1997).
[CrossRef]

P. M. Birch, J. Gourlay, N. P. Doble, and A. Purvis, Proc. SPIE 3126, 185 (1997).
[CrossRef]

R. D. Juday and J. M. Florence, Proc. SPIE 1558, 499 (1991).
[CrossRef]

J. M. Florence and R. D. Juday, Proc. SPIE 1558, 487 (1991).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Experimental setup: HWP, half-wave plate; BSs beam splitters; POL, polarizer; L1, L2, 250-mm focal-length lenses; PBS, polarizing beam splitter; M, spatial filter mask. The top arm of the interferometer was blocked when amplitude-only measurements were made.

Fig. 2
Fig. 2

Letter A encoded and displayed on the SLM without spatial filtering.

Fig. 3
Fig. 3

Letter A encoded and spatially filtered to get complex modulation.

Fig. 4
Fig. 4

Vertical bar π phase shifted and encoded on the SLM with out the spatial filter.

Fig. 5
Fig. 5

Interferogram of a π phase-shifted bar.

Equations (5)

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Aθ=sinΓ/2cosθsinθ,
fs=comb2yan=-δx-naRefx,yexpiπn+comb2yan=-δx-an+12×Imfx-a2,yexpiπn,
Fsωx,ωy=12m=-n=-Fωx-n2a,ωy-mb×1+exp-iπaωx1-expiπn+12m=-n=-F*-ωx-n2a,-ωy-mb×1-exp-iπaωx1-expiπn.
Fωx,ωy=12Fωx,ωy1+expiπaωxexp-iπ/2+F*-ωx,-ωy1-expiπaωx×exp-iπ/2rectωxa,2ωya.
frx,y=Refx,y+iImfx+a2,y12a2sincxa,y2a,

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