Abstract

We describe the design, fabrication, and experimental demonstration of a circular Dammann grating element generating a point-spread function of two concentric rings with equal intensity. The element was fabricated using grayscale lithography, providing a smooth and accurate phase profile. As a result, we obtained high diffraction efficiency and good uniformity between the two rings.

© 2010 Optical Society of America

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References

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  1. H. Dammann and K. Gortler, Opt. Commun. 3, 312 (1971).
    [CrossRef]
  2. H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
    [CrossRef]
  3. J. N. Mait, J. Opt. Soc. Am. A 7, 1514 (1990).
    [CrossRef]
  4. S. J. Walker and J. Jahns, J. Opt. Soc. Am. A 7, 1509 (1990).
    [CrossRef]
  5. N. Streibl, J. Mod. Opt. 36, 1559 (1989).
    [CrossRef]
  6. C. Zhou, J. Jia, and L. Liu, Opt. Lett. 28, 2174 (2003).
    [CrossRef] [PubMed]
  7. S. Zhao and P. S. Chung, Opt. Lett. 31, 2387 (2006).
    [CrossRef] [PubMed]
  8. I. Amidror, J. Opt. Soc. Am. A 14, 816 (1997).
    [CrossRef]
  9. M. LeCompte, X. Gao, and D. W. Prather, Appl. Opt. 40, 5921 (2001).
    [CrossRef]
  10. M. Iqbal, T. Dillon, M. J. McFadden, D. Prather, and M. W. Haney, in Frontiers in Optics, OSA Technical Digest Series (Optical Society of America, 2005), paper JTuC24.

2006 (1)

2003 (1)

2001 (1)

1997 (1)

1990 (2)

1989 (1)

N. Streibl, J. Mod. Opt. 36, 1559 (1989).
[CrossRef]

1977 (1)

H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
[CrossRef]

1971 (1)

H. Dammann and K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Amidror, I.

Chung, P. S.

Dammann, H.

H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
[CrossRef]

H. Dammann and K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Dillon, T.

M. Iqbal, T. Dillon, M. J. McFadden, D. Prather, and M. W. Haney, in Frontiers in Optics, OSA Technical Digest Series (Optical Society of America, 2005), paper JTuC24.

Gao, X.

Gortler, K.

H. Dammann and K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Haney, M. W.

M. Iqbal, T. Dillon, M. J. McFadden, D. Prather, and M. W. Haney, in Frontiers in Optics, OSA Technical Digest Series (Optical Society of America, 2005), paper JTuC24.

Iqbal, M.

M. Iqbal, T. Dillon, M. J. McFadden, D. Prather, and M. W. Haney, in Frontiers in Optics, OSA Technical Digest Series (Optical Society of America, 2005), paper JTuC24.

Jahns, J.

Jia, J.

Klotz, E.

H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
[CrossRef]

LeCompte, M.

Liu, L.

Mait, J. N.

McFadden, M. J.

M. Iqbal, T. Dillon, M. J. McFadden, D. Prather, and M. W. Haney, in Frontiers in Optics, OSA Technical Digest Series (Optical Society of America, 2005), paper JTuC24.

Prather, D.

M. Iqbal, T. Dillon, M. J. McFadden, D. Prather, and M. W. Haney, in Frontiers in Optics, OSA Technical Digest Series (Optical Society of America, 2005), paper JTuC24.

Prather, D. W.

Streibl, N.

N. Streibl, J. Mod. Opt. 36, 1559 (1989).
[CrossRef]

Walker, S. J.

Zhao, S.

Zhou, C.

Appl. Opt. (1)

J. Mod. Opt. (1)

N. Streibl, J. Mod. Opt. 36, 1559 (1989).
[CrossRef]

J. Opt. Soc. Am. A (3)

Opt. Acta (1)

H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
[CrossRef]

Opt. Commun. (1)

H. Dammann and K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Opt. Lett. (2)

Other (1)

M. Iqbal, T. Dillon, M. J. McFadden, D. Prather, and M. W. Haney, in Frontiers in Optics, OSA Technical Digest Series (Optical Society of America, 2005), paper JTuC24.

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Figures (4)

Fig. 1
Fig. 1

Simulation results showing the predicted intensity pattern in the far field: (a) 2D image, (b) intensity cross section across the center of (a).

Fig. 2
Fig. 2

Optical profilometer color map image showing the central section of the fabricated CDG. The color scale represents height in nanometers.

Fig. 3
Fig. 3

Schematic diagram of the experimental setup.

Fig. 4
Fig. 4

Experimental results showing the obtained intensity pattern in the far field: (a) 2D, (b) intensity cross section across the center of (a).

Equations (4)

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u in ( r ) = C 0 + 2 n = 1 C n cos ( 2 π n Λ r ) ,
u out ( ρ ) = C 0 1 π | ρ | δ ( ρ ) + 2 π n = 1 C n n Λ ( n Λ + ρ ) 3 2 δ ( 1 2 ) ( n Λ ρ ) ,
I n | C n n Λ ( n Λ + ρ ) 3 2 δ ( 1 2 ) ( n Λ ρ ) | 2 .
η = I 1 2 π R 1 + I 3 2 π R 3 n = 1 I n 2 π R n ,

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