Abstract

An interlaced polarization computer-generated hologram (PCGH) is designed to produce specific irradiance and polarization states in the image plane. The PCGH produces a tangentially polarized annular pattern with correlated speckle, which is achieved by a novel application of the diffuser optimization method. Alternating columns of orthogonal linear polarizations illuminate an interlaced PCGH, producing a ratio of polarization of 88% mea sured on a fabricated sample. The demonstrated technique can be applied to designs for arbitrary irradiance and polarization states in the image plane.

© 2010 Optical Society of America

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References

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2006 (1)

T.C.Poon, ed., Digital Holography and 3-Dimensional Display (Springer, 2006).
[CrossRef]

2003 (2)

J. Tamkin, B. Bagwell, B. Kimbrough, G. Jabbour, and M. Descour, Proc. SPIE 4984, 210 (2003).
[CrossRef]

D. Goldstein, Polarized Light, 2nd ed. (Marcel Dekker, 2003).
[CrossRef]

1996 (1)

1995 (1)

1993 (1)

J. Hossfeld, D. Columbus, H. Sprave, T. Tschudi, and W. Dultz, Opt. Eng. 32, 1835 (1993).
[CrossRef]

1985 (1)

1972 (1)

R. W. Gerchberg and W. O. Saxton, Optik (Jena) 35, 227(1972).

1967 (1)

Bagwell, B.

J. Tamkin, B. Bagwell, B. Kimbrough, G. Jabbour, and M. Descour, Proc. SPIE 4984, 210 (2003).
[CrossRef]

Cheng, C. C.

Columbus, D.

J. Hossfeld, D. Columbus, H. Sprave, T. Tschudi, and W. Dultz, Opt. Eng. 32, 1835 (1993).
[CrossRef]

Descour, M.

J. Tamkin, B. Bagwell, B. Kimbrough, G. Jabbour, and M. Descour, Proc. SPIE 4984, 210 (2003).
[CrossRef]

Dultz, W.

J. Hossfeld, D. Columbus, H. Sprave, T. Tschudi, and W. Dultz, Opt. Eng. 32, 1835 (1993).
[CrossRef]

Fainman, Y.

Ford, J. E.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, Optik (Jena) 35, 227(1972).

Goldstein, D.

D. Goldstein, Polarized Light, 2nd ed. (Marcel Dekker, 2003).
[CrossRef]

Hossfeld, J.

J. Hossfeld, D. Columbus, H. Sprave, T. Tschudi, and W. Dultz, Opt. Eng. 32, 1835 (1993).
[CrossRef]

Jabbour, G.

J. Tamkin, B. Bagwell, B. Kimbrough, G. Jabbour, and M. Descour, Proc. SPIE 4984, 210 (2003).
[CrossRef]

Kimbrough, B.

J. Tamkin, B. Bagwell, B. Kimbrough, G. Jabbour, and M. Descour, Proc. SPIE 4984, 210 (2003).
[CrossRef]

Lohmann, A. W.

Nikolova, L.

Paris, D. P.

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, Optik (Jena) 35, 227(1972).

Scherer, A.

Sprave, H.

J. Hossfeld, D. Columbus, H. Sprave, T. Tschudi, and W. Dultz, Opt. Eng. 32, 1835 (1993).
[CrossRef]

Stoyanova, K.

Sun, P. C.

Tamkin, J.

J. Tamkin, B. Bagwell, B. Kimbrough, G. Jabbour, and M. Descour, Proc. SPIE 4984, 210 (2003).
[CrossRef]

Todorov, T.

Tomova, N.

Tschudi, T.

J. Hossfeld, D. Columbus, H. Sprave, T. Tschudi, and W. Dultz, Opt. Eng. 32, 1835 (1993).
[CrossRef]

Tsuji, T.

T. Tsuji, “Illumination optical system, exposure apparatus, and device manufacturing method with modified illumination generator,” U.S. patent 7,265,816 (September 4, 2007).

Tyan, R. C.

Xu, F.

Appl. Opt. (3)

Opt. Eng. (1)

J. Hossfeld, D. Columbus, H. Sprave, T. Tschudi, and W. Dultz, Opt. Eng. 32, 1835 (1993).
[CrossRef]

Opt. Lett. (1)

Optik (Jena) (1)

R. W. Gerchberg and W. O. Saxton, Optik (Jena) 35, 227(1972).

Proc. SPIE (1)

J. Tamkin, B. Bagwell, B. Kimbrough, G. Jabbour, and M. Descour, Proc. SPIE 4984, 210 (2003).
[CrossRef]

Other (3)

D. Goldstein, Polarized Light, 2nd ed. (Marcel Dekker, 2003).
[CrossRef]

T. Tsuji, “Illumination optical system, exposure apparatus, and device manufacturing method with modified illumination generator,” U.S. patent 7,265,816 (September 4, 2007).

T.C.Poon, ed., Digital Holography and 3-Dimensional Display (Springer, 2006).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

The PCGH is illuminated with shifted cross-polarized Ronchi rulings, and its reconstruction and polarization distribution are measured.

Fig. 2
Fig. 2

x- and y-polarized components add to form a tangentially polarized annulus.

Fig. 3
Fig. 3

Flowchart of PCGH design method.

Fig. 4
Fig. 4

Normalized linear Stokes vector components demonstrate polarization synthesis.

Fig. 5
Fig. 5

Polarization orientation rotates around the annulus.

Equations (4)

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

U x 0 = A x 0 e i ϕ x 0 = g S sin θ ,
U y 0 = A y 0 e i ϕ y 0 = g S cos θ .
{ S 0 = 1 4 ( I 90 ° + I 0 ° + I 45 ° + I 135 ° ) S 1 = I 0 ° I 90 ° S 2 = I 45 ° I 135 ° .
RoP = I T S 0 = 1 2 ( 1 + S 1 S 0 cos 2 θ + S 2 S 0 sin 2 θ ) .

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