Abstract

We consider diffraction by pixelated lenses when the lens size is significantly smaller than the diffraction pattern of single pixels. In that case, the diffraction orders show shapes that have not been identified in earlier studies and that are quite sensitive to the pixel filling ratio as well as to decentering.

© 2010 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. M. Cottrell, J. A. Davis, T. R. Hedman, and R. A. Lilly, “Multiple imaging phase-encoded optical elements written as programmable spatial light modulators,” Appl. Opt. 29, 2505-2509 (1990).
    [CrossRef]
  2. E. Carcolé, J. Campos, I. Juvells, and S. Bosch, “Diffraction efficiency of low-resolution Fresnel encoded lenses,” Appl. Opt. 33, 6741-6746 (1994).
    [CrossRef]
  3. E. Carcolé, J. Campos, and S. Bosch, “Diffraction theory of Fresnel lenses encoded in low-resolution devices,” Appl. Opt. 33, 162-174 (1994).
    [CrossRef]
  4. E. Carcolé, J. Campos, I. Juvells, and J. R. de F. Moneo, “Diffraction theory of optimized low-resolution Fresnel encoded lenses,” Appl. Opt. 34, 5952-5960 (1995).
    [CrossRef]
  5. V. Arrizon, E. Carreon, and L. A. Gonzalez, “Self-apodization of low-resolution pixelated lenses,” Appl. Opt. 38, 5073-5077(1999).
    [CrossRef]
  6. G. J. Swanson, “The theory and design of multi-level diffractive optical elements,” Binary Optics Technology, MIT Tech. Rep. 854 (MIT, 1989)
  7. G. J. Swanson“Theoretical limits on the diffraction efficiency of multilevel diffractive optical elements,” in Binary Optics Technology, MIT Tech. Rep. 914 (MIT, 1991).
  8. This is compatible with a centered pupil of size N×N pixels only if N is an odd integer. But the extension to even values of N would be straightforward. However, the parity of N is an inessential factor in the present study and we shall not develop it in any detail.
  9. S. Wang, E. Barnabeu, and J. Alda, “Unified and generalized Fresnel numbers,” Opt. Quantum Electron. 24, 1351-1358(1992).
    [CrossRef]

1999 (1)

1995 (1)

1994 (2)

1992 (1)

S. Wang, E. Barnabeu, and J. Alda, “Unified and generalized Fresnel numbers,” Opt. Quantum Electron. 24, 1351-1358(1992).
[CrossRef]

1990 (1)

Alda, J.

S. Wang, E. Barnabeu, and J. Alda, “Unified and generalized Fresnel numbers,” Opt. Quantum Electron. 24, 1351-1358(1992).
[CrossRef]

Arrizon, V.

Barnabeu, E.

S. Wang, E. Barnabeu, and J. Alda, “Unified and generalized Fresnel numbers,” Opt. Quantum Electron. 24, 1351-1358(1992).
[CrossRef]

Bosch, S.

Campos, J.

Carcolé, E.

Carreon, E.

Cottrell, D. M.

Davis, J. A.

Gonzalez, L. A.

Hedman, T. R.

Juvells, I.

Lilly, R. A.

Moneo, J. R. de F.

Swanson, G. J.

G. J. Swanson, “The theory and design of multi-level diffractive optical elements,” Binary Optics Technology, MIT Tech. Rep. 854 (MIT, 1989)

G. J. Swanson“Theoretical limits on the diffraction efficiency of multilevel diffractive optical elements,” in Binary Optics Technology, MIT Tech. Rep. 914 (MIT, 1991).

Wang, S.

S. Wang, E. Barnabeu, and J. Alda, “Unified and generalized Fresnel numbers,” Opt. Quantum Electron. 24, 1351-1358(1992).
[CrossRef]

Appl. Opt. (5)

Opt. Quantum Electron. (1)

S. Wang, E. Barnabeu, and J. Alda, “Unified and generalized Fresnel numbers,” Opt. Quantum Electron. 24, 1351-1358(1992).
[CrossRef]

Other (3)

G. J. Swanson, “The theory and design of multi-level diffractive optical elements,” Binary Optics Technology, MIT Tech. Rep. 854 (MIT, 1989)

G. J. Swanson“Theoretical limits on the diffraction efficiency of multilevel diffractive optical elements,” in Binary Optics Technology, MIT Tech. Rep. 914 (MIT, 1991).

This is compatible with a centered pupil of size N×N pixels only if N is an odd integer. But the extension to even values of N would be straightforward. However, the parity of N is an inessential factor in the present study and we shall not develop it in any detail.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics