Abstract

A novel method of performing two-dimensional space-variant polarization operations is presented. The method is based on determining the local direction and period of subwavelength metal-stripe gratings by use of vectorial optics to obtain any desired continuous polarization change. We demonstrate our approach with specific computer-generated space-variant polarization elements for laser radiation at 10.6 μm. The polarization properties are verified with complete space-variant polarization analysis and measurement.

© 2001 Optical Society of America

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References

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  1. M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  8. E. Collet, Polarized Light (Marcel Dekker, New York, 1993).
  9. T. Carozzi, R. Karlsson, and J. Bergman, Phys. Rev. E 61, 2024 (2000).
    [CrossRef]
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    [CrossRef]

2000

S. Astilean, Ph. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

T. Carozzi, R. Karlsson, and J. Bergman, Phys. Rev. E 61, 2024 (2000).
[CrossRef]

1999

G. P. Nordin, J. T. Meier, P. C. Deguzman, and M. W. Jones, J. Opt. Soc. Am. A 16, 1168 (1999).
[CrossRef]

Y. Liu, D. Cline, and P. He, Nucl. Instrum. Methods Phys. Res. A 424, 296 (1999).
[CrossRef]

M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
[CrossRef]

U. D. Zeitner, B. Schnabel, E-B. Kley, and F. Wyrowski, Appl. Opt. 38, 2177 (1999).
[CrossRef]

1992

1986

Astilean, S.

S. Astilean, Ph. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

Bergman, J.

T. Carozzi, R. Karlsson, and J. Bergman, Phys. Rev. E 61, 2024 (2000).
[CrossRef]

Carozzi, T.

T. Carozzi, R. Karlsson, and J. Bergman, Phys. Rev. E 61, 2024 (2000).
[CrossRef]

Cline, D.

Y. Liu, D. Cline, and P. He, Nucl. Instrum. Methods Phys. Res. A 424, 296 (1999).
[CrossRef]

Collet, E.

E. Collet, Polarized Light (Marcel Dekker, New York, 1993).

Davidson, N.

Deguzman, P. C.

Dorn, R.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Eberler, M.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Friesem, A. A.

Gaylord, T. K.

Glöckl, O.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Hasman, E.

He, P.

Y. Liu, D. Cline, and P. He, Nucl. Instrum. Methods Phys. Res. A 424, 296 (1999).
[CrossRef]

Honkanen, M.

M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
[CrossRef]

Jones, M. W.

Karlsson, R.

T. Carozzi, R. Karlsson, and J. Bergman, Phys. Rev. E 61, 2024 (2000).
[CrossRef]

Kettonen, V.

M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
[CrossRef]

Kley, E-B.

Kuittinen, M.

M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
[CrossRef]

Lalanne, Ph.

S. Astilean, Ph. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

Lautanen, J.

M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
[CrossRef]

Leuchs, G.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Liu, Y.

Y. Liu, D. Cline, and P. He, Nucl. Instrum. Methods Phys. Res. A 424, 296 (1999).
[CrossRef]

Meier, J. T.

Moharam, M. G.

Nordin, G. P.

Palamaru, M.

S. Astilean, Ph. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

Quabis, S.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Schnabel, B.

U. D. Zeitner, B. Schnabel, E-B. Kley, and F. Wyrowski, Appl. Opt. 38, 2177 (1999).
[CrossRef]

M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
[CrossRef]

Turunen, J.

M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
[CrossRef]

Wyrowski, F.

M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
[CrossRef]

U. D. Zeitner, B. Schnabel, E-B. Kley, and F. Wyrowski, Appl. Opt. 38, 2177 (1999).
[CrossRef]

Zeitner, U. D.

Appl. Opt.

Appl. Phys. B

M. Honkanen, V. Kettonen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, Appl. Phys. B 68, 81 (1999).
[CrossRef]

J. Opt. Soc. Am. A

Nucl. Instrum. Methods Phys. Res. A

Y. Liu, D. Cline, and P. He, Nucl. Instrum. Methods Phys. Res. A 424, 296 (1999).
[CrossRef]

Opt. Commun.

S. Astilean, Ph. Lalanne, and M. Palamaru, Opt. Commun. 175, 265 (2000).
[CrossRef]

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Opt. Commun. 179, 1 (2000).
[CrossRef]

Phys. Rev. E

T. Carozzi, R. Karlsson, and J. Bergman, Phys. Rev. E 61, 2024 (2000).
[CrossRef]

Other

E. Collet, Polarized Light (Marcel Dekker, New York, 1993).

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Figures (5)

Fig. 1
Fig. 1

Geometrical parameters of the polarization ellipse of light transmitted through a subwavelength grating.

Fig. 2
Fig. 2

Measured and calculated results for (a) the azimuthal angle, ψ, and (b) the ellipticity, tanχ, of light transmitted through the chirped grating as a function of the local period.

Fig. 3
Fig. 3

Magnified illustration of the computer-generated space-variant polarization-element geometry.

Fig. 4
Fig. 4

Experimental measurement of the two-dimensional space-variant polarization orientations. The arrows indicate the direction of the large axis of the local polarization ellipse.

Fig. 5
Fig. 5

Measured and calculated azimuthal angles, as a function of x locations of various y coordinates, of the space-variant polarization element when it was rotated 30°.

Equations (7)

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Kg=K0cosβx^+K0sinβy^,
β=ψdesired-ΔψK0
Kg=K0x,ycosβx,y,K0x^+K0x,ysinβx,y,K0y^.
K0ycosβ-K0sinβψdesiredy-ΔψK0K0y=K0xsinβ+K0cosβψdesiredx-ΔψK0K0x,
ψdesired=ax+ψ0,
K0x,y=2πΛ0expay,
ϕx,y=2πaΛ0sinax+ψ0-ψ1expay.

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