Abstract

A technique that employs a single laser beam is proposed for recording the retardance of an optical anisotropic object. The retardance pattern is converted into a polarization pattern using a quarter-wave plate and recorded on a polarization-sensitive medium. The recording medium is illuminated by homogeneous polarized light, and the light transmitted by the recording medium is analyzed to reconstruct the recorded retardance pattern.

© 2008 Optical Society of America

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References

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  1. T. Todorov, L. Nikolova, and N. Tomova, Appl. Opt. 23, 4309 (1984).
    [CrossRef] [PubMed]
  2. X. Pan, C. Wang, C. Wang, and X. Zhang, Appl. Opt. 47, 93 (2008).
    [CrossRef]
  3. T. Fukuda, J. Y. Kim, D. Barada, and K. Yase, J. Photochem. Photobiol. A 183, 273 (2006).
    [CrossRef]

2008 (1)

2006 (1)

T. Fukuda, J. Y. Kim, D. Barada, and K. Yase, J. Photochem. Photobiol. A 183, 273 (2006).
[CrossRef]

1984 (1)

Barada, D.

T. Fukuda, J. Y. Kim, D. Barada, and K. Yase, J. Photochem. Photobiol. A 183, 273 (2006).
[CrossRef]

Fukuda, T.

T. Fukuda, J. Y. Kim, D. Barada, and K. Yase, J. Photochem. Photobiol. A 183, 273 (2006).
[CrossRef]

Kim, J. Y.

T. Fukuda, J. Y. Kim, D. Barada, and K. Yase, J. Photochem. Photobiol. A 183, 273 (2006).
[CrossRef]

Nikolova, L.

Pan, X.

Todorov, T.

Tomova, N.

Wang, C.

Yase, K.

T. Fukuda, J. Y. Kim, D. Barada, and K. Yase, J. Photochem. Photobiol. A 183, 273 (2006).
[CrossRef]

Zhang, X.

Appl. Opt. (2)

J. Photochem. Photobiol. A (1)

T. Fukuda, J. Y. Kim, D. Barada, and K. Yase, J. Photochem. Photobiol. A 183, 273 (2006).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Schematic of (a) recording and (b) reconstruction. The direction propagation of the laser beams is defined as the z axis; HWP, QWP, LBO, VR, P, and PD represent the half-wave plate, quarter-wave plate, linear birefringent object, variable retarder, polarizer, and photodetector, respectively.

Fig. 2
Fig. 2

Experimental setup for retardance recording. HWP, QWP, M, DM, SCF, VR, P, and CCD are the half-wave plate, a quarter-wave plate, a mirror, a dichroic mirror, lenses, sharp-cut filter, variable retarder, and CCD camera, respectively. A sharp-cut filter is used to block the recording laser ( 407 nm ) .

Fig. 3
Fig. 3

Experimental results. (a) and (b) are a two-dimensional retardance pattern on the LCOS-SLM and an observed reconstructed retardance pattern, respectively.

Equations (14)

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J 1 = 1 2 [ exp [ i ( Φ + Φ 0 ) ] 1 ] ,
J 2 = R ( π 4 ) [ 1 0 0 i ] R ( π 4 ) J 1 = exp ( i Φ + Φ 0 2 ) R ( Φ + Φ 0 2 π 4 ) [ 1 0 ] ,
R ( θ ) = [ cos θ sin θ sin θ cos θ ] .
α = Φ + Φ 0 2 + π 4 .
M ( Φ , Δ ϕ ) = R ( α ) [ 1 0 0 exp ( i Δ ϕ ) ] R ( α ) ,
J 3 = M ( Φ , Δ ϕ ) 1 2 [ 1 i ] = i exp [ i ( α + Δ ϕ 2 ) ] R ( α + π 4 ) [ cos ϵ i sin ϵ ] ,
ϵ = Δ ϕ 2 π 4 .
J 4 = R ( φ ) [ 1 0 0 i ] R ( φ ) J 3 = R ( φ π 4 ) A [ B exp [ i ( Φ + Φ 0 + 2 φ ) ] 1 ] ,
A = i cos ( Δ ϕ 2 ) exp [ i ( Δ ϕ 2 + π 4 + φ ) ] ,
B = tan ( Δ ϕ 2 ) .
J 4 = R ( π 4 ) A [ B exp [ i ( Φ + Φ 0 ) ] 1 ] .
I ( ϑ ) = J 5 2 = R ( ϑ ) [ 1 0 0 0 ] R ( ϑ ) A [ B exp [ i ( Φ + Φ 0 ) ] exp ( i Δ ϕ s ) ] 2 = A 2 [ cos 2 ϑ B 2 + sin 2 ϑ + 2 B sin ϑ cos ϑ cos ( Φ + Φ 0 Δ ϕ s ) ] ,
ϑ = ϑ + π 4 .
Φ = tan 1 [ I ( π 2 ) I ( 3 π 2 ) I ( 0 ) I ( π ) ] Φ 0 .

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