Abstract

We explore the use of phase profiles with fractional power for tailoring modulation transfer functions with high focal depth at high pupil apertures. We present numerical simulations of the images that can be obtained with certain fractional-power profiles.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. Häusler, Opt. Commun. 6, 38 (1972).
    [CrossRef]
  2. J. Ojeda-Castañeda and A. Noyola-Iglesias, Appl. Opt. 27, 2583 (1988).
    [CrossRef]
  3. K. H. Brenner, A. W. Lohmann, and J. Ojeda-Castañeda, Opt. Commun. 44, 323 (1983).
    [CrossRef]
  4. J. Ojeda-Castañeda, L. R. Berriel-Valdos, and E. Montes, Appl. Opt. 27, 790 (1988).
    [CrossRef]
  5. J. Ojeda-Castañeda, P. Andrés, and A. Díaz, J. Opt. Soc. Am. A 5, 1233 (1988).
    [CrossRef]
  6. S. Mezouari and A. A. Harvey, Opt. Lett. 28, 771 (2003).
    [CrossRef] [PubMed]
  7. E. R. Dowski and W. T. Cathey, Appl. Opt. 34, 1859 (1995).
    [CrossRef] [PubMed]
  8. J. van der Gracht, E. R. Dowski, Jr., M. G. Taylor, and D. M. Deaver, Opt. Lett. 21, 919 (1996).
    [CrossRef] [PubMed]
  9. J. Ojeda-Castañeda, A. Castro, and J. Santamaría, Proc. SPIE 3749, 14 (1999).
    [CrossRef]
  10. A. Sauceda, J. Ojeda-Castañeda, and J. Santamaría, Proc. SPIE 3749, 767 (1999).
    [CrossRef]

2003

1999

J. Ojeda-Castañeda, A. Castro, and J. Santamaría, Proc. SPIE 3749, 14 (1999).
[CrossRef]

A. Sauceda, J. Ojeda-Castañeda, and J. Santamaría, Proc. SPIE 3749, 767 (1999).
[CrossRef]

1996

1995

1988

1983

K. H. Brenner, A. W. Lohmann, and J. Ojeda-Castañeda, Opt. Commun. 44, 323 (1983).
[CrossRef]

1972

G. Häusler, Opt. Commun. 6, 38 (1972).
[CrossRef]

Andrés, P.

J. Ojeda-Castañeda, P. Andrés, and A. Díaz, J. Opt. Soc. Am. A 5, 1233 (1988).
[CrossRef]

Berriel-Valdos, L. R.

Brenner, K. H.

K. H. Brenner, A. W. Lohmann, and J. Ojeda-Castañeda, Opt. Commun. 44, 323 (1983).
[CrossRef]

Castro, A.

J. Ojeda-Castañeda, A. Castro, and J. Santamaría, Proc. SPIE 3749, 14 (1999).
[CrossRef]

Cathey, W. T.

Deaver, D. M.

Díaz, A.

J. Ojeda-Castañeda, P. Andrés, and A. Díaz, J. Opt. Soc. Am. A 5, 1233 (1988).
[CrossRef]

Dowski, E. R.

Dowski, Jr., E. R.

Harvey, A. A.

Häusler, G.

G. Häusler, Opt. Commun. 6, 38 (1972).
[CrossRef]

Lohmann, A. W.

K. H. Brenner, A. W. Lohmann, and J. Ojeda-Castañeda, Opt. Commun. 44, 323 (1983).
[CrossRef]

Mezouari, S.

Montes, E.

Noyola-Iglesias, A.

Ojeda-Castañeda, J.

A. Sauceda, J. Ojeda-Castañeda, and J. Santamaría, Proc. SPIE 3749, 767 (1999).
[CrossRef]

J. Ojeda-Castañeda, A. Castro, and J. Santamaría, Proc. SPIE 3749, 14 (1999).
[CrossRef]

J. Ojeda-Castañeda, P. Andrés, and A. Díaz, J. Opt. Soc. Am. A 5, 1233 (1988).
[CrossRef]

J. Ojeda-Castañeda and A. Noyola-Iglesias, Appl. Opt. 27, 2583 (1988).
[CrossRef]

J. Ojeda-Castañeda, L. R. Berriel-Valdos, and E. Montes, Appl. Opt. 27, 790 (1988).
[CrossRef]

K. H. Brenner, A. W. Lohmann, and J. Ojeda-Castañeda, Opt. Commun. 44, 323 (1983).
[CrossRef]

Santamaría, J.

J. Ojeda-Castañeda, A. Castro, and J. Santamaría, Proc. SPIE 3749, 14 (1999).
[CrossRef]

A. Sauceda, J. Ojeda-Castañeda, and J. Santamaría, Proc. SPIE 3749, 767 (1999).
[CrossRef]

Sauceda, A.

A. Sauceda, J. Ojeda-Castañeda, and J. Santamaría, Proc. SPIE 3749, 767 (1999).
[CrossRef]

Taylor, M. G.

van der Gracht, J.

Appl. Opt.

J. Opt. Soc. Am. A

J. Ojeda-Castañeda, P. Andrés, and A. Díaz, J. Opt. Soc. Am. A 5, 1233 (1988).
[CrossRef]

Opt. Commun.

G. Häusler, Opt. Commun. 6, 38 (1972).
[CrossRef]

K. H. Brenner, A. W. Lohmann, and J. Ojeda-Castañeda, Opt. Commun. 44, 323 (1983).
[CrossRef]

Opt. Lett.

Proc. SPIE

J. Ojeda-Castañeda, A. Castro, and J. Santamaría, Proc. SPIE 3749, 14 (1999).
[CrossRef]

A. Sauceda, J. Ojeda-Castañeda, and J. Santamaría, Proc. SPIE 3749, 767 (1999).
[CrossRef]

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.


Figures (2)

Fig. 1
Fig. 1

MTF (in decibels) for (a) a clear pupil aperture with variable W20 and (b) a fractional phase mask with n+=3.85 and variable W20.

Fig. 2
Fig. 2

Numerical simulations of the images of a spoke pattern for α=60λ. Rows 1–5, n+=3.75,3.8,3.85,3.9,3.95, respectively. Columns 1–3, computer-simulated images of the spoke pattern for W20=0,λ/2,λ, respectively.

Tables (1)

Tables Icon

Table 1 Classification Scheme of the Phase-Only Masks in Eq. (1)

Equations (4)

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

q˜μ=rectμΩexpi2παλsgnμμΩn+.
n=0,1,2,3,    0<<1.
p˜μ=q˜μexpi2πλW20μΩ2.
α=60λ,    n=3,    0.7<<1.

Metrics