Abstract

A system for superresolution of temporally restricted objects allows one to transmit ultrawideband optical signals (objects) through a narrow aperture. Such a system was proposed, improved, and implemented for one- and two-dimensional objects. Implementing frequency-plane enhancement in this system provides the ability of spatial filtering of ultrawideband objects. A method for spatial filtering in a system for superresolution of temporally restricted objects by use of a generalized Dammann grating is suggested. An experimental demonstration of high-frequency enhancement (high-pass filtering) of one-dimensional objects is presented.

© 1998 Optical Society of America

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References

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  1. D. Mendlovic and A. W. Lohmann, J. Opt. Soc. Am. A 14, 558 (1997); D. Mendlovic, A. W. Lohmann, and Z. Zalevsky, J. Opt. Soc. Am. A 14, 563 (1997).
    [CrossRef]
  2. W. Lukosz, J. Opt. Soc. Am. 57, 932 (1967).
    [CrossRef]
  3. H. Dammann and K. Gortler, Opt. Commun. 3, 312 (1971).
    [CrossRef]
  4. H. Dammann and E. Klotz, Opt. Acta 24, 505 (1977).
    [CrossRef]
  5. D. Mendlovic, A. W. Lohmann, N. Konforti, I. Kiryuschev, and Z. Zalevsky, Appl. Opt. 36, 2353 (1997).
    [CrossRef] [PubMed]
  6. D. Mendlovic, I. Kiryuschev, Z. Zalevsky, A. W. Lohmann, and D. Farkas, Appl. Opt. 36, 6687 (1997).
    [CrossRef]
  7. D. Mendlovic, Z. Zalevsky, I. Kiryuschev, and G. Lebreton, Appl. Opt. 34, 310 (1995).
    [CrossRef] [PubMed]

1997 (3)

1995 (1)

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]

1967 (1)

Dammann, H.

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

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

Farkas, D.

Gortler, K.

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

Kiryuschev, I.

Klotz, E.

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

Konforti, N.

Lebreton, G.

Lohmann, A. W.

Lukosz, W.

Mendlovic, D.

Zalevsky, Z.

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Figures (4)

Fig. 1
Fig. 1

Optical system used for the experiment.

Fig. 2
Fig. 2

Transition of points of the GDG.

Fig. 3
Fig. 3

Schematic illustration of the synthetic aperture.

Fig. 4
Fig. 4

Experimental results: (a) input grating, (b) cross section of its spectrum, (c) output after high-pass enhancement, (d) cross section of the output spectrum.

Equations (7)

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Ix, ynx, nyAnx, nyABSnx, nyAnx, ny×P˜0μx-nxν0, μy-nyν0U˜iμx, μy×exp2πixμx+yμydμxdμy2,
Fμx, μy=nx, nyAnx, nyP̃0μx-nxν0, μy-nyν0
A0=4m=1M-1m+1χm+-1M+1, An=2nπm=1M-1m+1sin2πnχm, n0,
BWobj=2fa2+fa1=7fa1,
ν0=7fa1/5=727.62 1/m,
Δν=λFν0=0.7 mm.
χd=1/ν0=1.3743 mm.

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