Abstract

We extend the Dammann encoding concept to more general phase functions, i.e., to encode a phase pattern so that a number of diffracted orders have the same intensity. We demonstrate a Dammann vortex grating that generates different vortex patterns in the different diffracted orders. We also show a Fresnel lens that creates seven transverse focal spots in each of seven axial planes.

© 2010 Optical Society of America

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References

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  1. H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
    [CrossRef]
  2. C. Zhou and L. Liu, Appl. Opt. 34, 5961 (1995).
    [CrossRef] [PubMed]
  3. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992).
    [CrossRef] [PubMed]
  4. V. Yu Bazhenov, V. Vasnetsov, and M. S. Soskin, JETP Lett. 52, 429 (1990).
  5. I. Moreno, J. A. Davis, B. Melvin, L. Pascoguin, M. J. Mitry, and D. M. Cottrell, Opt. Lett. 34, 2927 (2009).
    [CrossRef] [PubMed]
  6. G. Saavedra, W. D. Furlan, and J. A. Monsoriu, Opt. Lett. 28, 971 (2003).
    [CrossRef] [PubMed]
  7. S. H. Tao, X.-C. Yuan, J. Lin, and R. E. Burge, Appl. Phys. Lett. 89, 031105 (2006).
    [CrossRef]
  8. J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
    [CrossRef]

2009 (1)

2006 (1)

S. H. Tao, X.-C. Yuan, J. Lin, and R. E. Burge, Appl. Phys. Lett. 89, 031105 (2006).
[CrossRef]

2003 (1)

1999 (1)

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

1995 (1)

1992 (1)

1990 (1)

V. Yu Bazhenov, V. Vasnetsov, and M. S. Soskin, JETP Lett. 52, 429 (1990).

1977 (1)

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

Amako, J.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Burge, R. E.

S. H. Tao, X.-C. Yuan, J. Lin, and R. E. Burge, Appl. Phys. Lett. 89, 031105 (2006).
[CrossRef]

Cottrell, D. M.

Dammann, H.

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

Davis, J. A.

Furlan, W. D.

Heckenberg, N. R.

Klotz, E.

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

Lin, J.

S. H. Tao, X.-C. Yuan, J. Lin, and R. E. Burge, Appl. Phys. Lett. 89, 031105 (2006).
[CrossRef]

Liu, L.

McDuff, R.

Melvin, B.

Mitry, M. J.

Monsoriu, J. A.

Moreno, I.

Pascoguin, L.

Saavedra, G.

Smith, C. P.

Sonehara, T.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Soskin, M. S.

V. Yu Bazhenov, V. Vasnetsov, and M. S. Soskin, JETP Lett. 52, 429 (1990).

Tao, S. H.

S. H. Tao, X.-C. Yuan, J. Lin, and R. E. Burge, Appl. Phys. Lett. 89, 031105 (2006).
[CrossRef]

Tsai, P.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Vasnetsov, V.

V. Yu Bazhenov, V. Vasnetsov, and M. S. Soskin, JETP Lett. 52, 429 (1990).

White, A. G.

Yu Bazhenov, V.

V. Yu Bazhenov, V. Vasnetsov, and M. S. Soskin, JETP Lett. 52, 429 (1990).

Yuan, X.-C.

S. H. Tao, X.-C. Yuan, J. Lin, and R. E. Burge, Appl. Phys. Lett. 89, 031105 (2006).
[CrossRef]

Zhou, C.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

S. H. Tao, X.-C. Yuan, J. Lin, and R. E. Burge, Appl. Phys. Lett. 89, 031105 (2006).
[CrossRef]

JETP Lett. (1)

V. Yu Bazhenov, V. Vasnetsov, and M. S. Soskin, JETP Lett. 52, 429 (1990).

Opt. Acta (1)

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

Opt. Eng. (1)

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Opt. Lett. (3)

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Figures (3)

Fig. 1
Fig. 1

Procedure to create the Dammann grating. (a) Linear phase grating. (b)–(d) Binary amplitude (0–1) gratings obtained by thresholding (a) at three different levels given by [2]. (e) Dammann phase ( 0 π ) grating resulting from ( d ) ( c ) + ( b ) . (f) 2D Dammann grating.

Fig. 2
Fig. 2

1D (2D) Dammann gratings for generating 7 (and 7 × 7 ) equal-intensity spots. (a)–(d) regular Dammann gratings. (e)–(h) Damman vortex gratings.  

Fig. 3
Fig. 3

(a) Dammann phase mask lens for generating seven equal-intensity focalizations with multiple vortex beams. (b) Seven equal-intensity spots.

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