Abstract

We demonstrate the use of graded-index lenses for matched spatial filtering. A matrix of matched filters is constructed, using a Selfoc lens array and Fourier-reflection holography. This combination of stacked planar optics and reflection holography provides a rugged, easily fabricated spatially distributed matched-filter system. Preliminary correlation results demonstrate the feasibility of this system.

© 1988 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Van der Lugt, IEEE Trans. Inf. Theory IT-10, 145 (1964).
  2. K. Iga, S. Hata, Y. Kato, H. Fukuyo, Jpn. J Appl. Phys. 13, 79 (1974).
    [CrossRef]
  3. K. Nishizawa, Appl. Opt. 19, 1052 (1980).
    [CrossRef] [PubMed]
  4. W. J. Tomlinson, Appl. Opt. 19, 1117 (1980).
    [CrossRef] [PubMed]
  5. K. Sato, O. Kamada, S. Yamamoto, Appl. Opt. 23, 482 (1984).
    [CrossRef] [PubMed]
  6. Y. Ishii, K. Murata, Opt. Lett. 7, 230 (1982).
    [CrossRef] [PubMed]
  7. A. Grumet, “Automatic target recognition system,” U.S. Patent No. 3,779,492 (December12, 1972).
  8. J. G. Duthie, H. K. Liu, Appl. Opt. 21, 3278 (1982).
    [CrossRef] [PubMed]
  9. M. Oikawa, K. Iga, Appl. Opt. 21, 1052 (1982).
    [CrossRef] [PubMed]

1984 (1)

1982 (3)

1980 (2)

1974 (1)

K. Iga, S. Hata, Y. Kato, H. Fukuyo, Jpn. J Appl. Phys. 13, 79 (1974).
[CrossRef]

1964 (1)

A. Van der Lugt, IEEE Trans. Inf. Theory IT-10, 145 (1964).

Duthie, J. G.

Fukuyo, H.

K. Iga, S. Hata, Y. Kato, H. Fukuyo, Jpn. J Appl. Phys. 13, 79 (1974).
[CrossRef]

Grumet, A.

A. Grumet, “Automatic target recognition system,” U.S. Patent No. 3,779,492 (December12, 1972).

Hata, S.

K. Iga, S. Hata, Y. Kato, H. Fukuyo, Jpn. J Appl. Phys. 13, 79 (1974).
[CrossRef]

Iga, K.

M. Oikawa, K. Iga, Appl. Opt. 21, 1052 (1982).
[CrossRef] [PubMed]

K. Iga, S. Hata, Y. Kato, H. Fukuyo, Jpn. J Appl. Phys. 13, 79 (1974).
[CrossRef]

Ishii, Y.

Kamada, O.

Kato, Y.

K. Iga, S. Hata, Y. Kato, H. Fukuyo, Jpn. J Appl. Phys. 13, 79 (1974).
[CrossRef]

Liu, H. K.

Murata, K.

Nishizawa, K.

Oikawa, M.

Sato, K.

Tomlinson, W. J.

Van der Lugt, A.

A. Van der Lugt, IEEE Trans. Inf. Theory IT-10, 145 (1964).

Yamamoto, S.

Appl. Opt. (5)

IEEE Trans. Inf. Theory (1)

A. Van der Lugt, IEEE Trans. Inf. Theory IT-10, 145 (1964).

Jpn. J Appl. Phys. (1)

K. Iga, S. Hata, Y. Kato, H. Fukuyo, Jpn. J Appl. Phys. 13, 79 (1974).
[CrossRef]

Opt. Lett. (1)

Other (1)

A. Grumet, “Automatic target recognition system,” U.S. Patent No. 3,779,492 (December12, 1972).

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 (4)

Fig. 1
Fig. 1

The Selfoc array is glued to the glass side of the photographic plate. Inputs are imaged so that they are focused on the emulsion.

Fig. 2
Fig. 2

Recording–playback optical setup. The mask removes the reflection noise.

Fig. 3
Fig. 3

Input patterns used. The diameter of each character is 1 mm, and there is a one-to-one correspondence between each character and each Selfoc lens, (a) The transparency in the recording configuration, (b) Test transparency used for playback.

Fig. 4
Fig. 4

Correlation spots, (a) When the recording transparency was used in the playback test, all filters matched, and eight correlation spots were seen, (b) When the transparency of Fig. 3(b) is used, only two characters match, and two correlation spots are seen. If the gain of the vidicon is increased substantially, cross-correlation signals can be seen.

Equations (3)

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

n 2 ( x , y ) = n 2 ( 0 ) [ 1 ( g 1 x ) 2 ( g 2 y ) 2 + Δ ( x , y ) ] ,
U f ( x , y ) = j π 2 α exp [ j ( B 1 x 2 + B 2 y 2 ) ] × F ( 2 β 1 γ sec g 1 b β 1 + γ x , 2 β 1 γ sec g 2 b β 2 + γ y ) ,
β i = k 0 g i b tan ( g i + j Γ i ) b , B i = β i γ β i + γ 1 4 α [ ( β i γ sec g i b ) / β i + γ ] 2 ,

Metrics