Abstract

Two situations in which self-imaging techniques can be applied to advantage are presented: the pinhole-array camera and transmission through an optical fiber. The experimental procedure and results are presented for the case of a pinhole array illuminated with an extended incoherent object distribution. In the Fresnel-image planes, more images are formed than there are pinholes in the array, which is in contrast to the case of the pinhole-array camera. An optical fiber or thin film working in the kaleidoscope mode may form an image, provided that its length fulfills the self-imaging condition.

© 1973 Optical Society of America

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References

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  1. S. Lu, Proc. Inst. Electr. Eng. 56, 116 (1968);G. Groh, Appl. Opt. 7, 1643 (1968);Appl. Opt. 8, 967 (1969);S. Lowenthal, A. Werts, and M. Rembault, C.R. Acad. Sci. B 267, 120 (1968).
    [Crossref] [PubMed]
  2. H. F. Talbot, Philos. Mag. 9, 401 (1836);Lord Rayleigh, Philos. Mag. 11, 196 (1881);A. Winkelmann, Ann. Phys. (Leipz.) 27, 905 (1908);H. Weisel, Ann. Phys. (Leipz.) 33, 995 (1910);M. Wolfke, Ann. Phys. (Leipz.) 40, 194 (1913).
    [Crossref]
  3. E. Lau, Ann. Phys. (Leipz.) 2, 417 (1948).
    [Crossref]
  4. J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. Lond. B 70, 486 (1957);Proc. Phys. Soc. Lond. B 70, 497 (1957);Proc. Phys. Soc. Lond. B 70, 505 (1957).
    [Crossref]
  5. E. A. Hiedemann and M. A. Breazeale, J. Opt. Soc. Am. 49, 372 (1959).
    [Crossref]
  6. G. L. Rogers, Proc. Phys. Soc. Lond. B 157, 83 (1962);K. Shimizu, Exp. Mech. News (1), 3 (1970),and Mech. Res. News (7), 1 (1971) (both in Japanese).
    [Crossref]
  7. J. T. Winthrop and C. R. Worthington, J. Opt. Soc. Am. 55, 373 (1965);J. T. Winthrop, Thesis, University of Michigan (1966) (University Microfilms, Inc., Ann Arbor, Mich., order No. 67-8369).
    [Crossref]
  8. W. D. Montgomery, J. Opt. Soc. Am. 57, 772 (1967).
    [Crossref]
  9. Yu. N. Denisyuk, N. M. Ramishvili, and V. V. Chavchanidze, Opt. Spektrosk. 30, 1130 (1971) [Opt. Spectrosc. 30, 603 (1971)];H. Dammann, G. Groh, and M. Kock, Appl. Opt. 10, 1454 (1971).
    [Crossref] [PubMed]
  10. P. A. Newman and V. E. Rible, Appl. Opt. 5, 1225 (1966).
    [Crossref] [PubMed]
  11. H. Osterberg and L. W. Smith, J. Opt. Soc. Am. 54, 1073 (1964);J. Opt. Soc. Am. 54, 1078 (1964).
    [Crossref]
  12. T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. 5, 331 (1969).
    [Crossref]
  13. See, for example, J. H. Myer, Appl. Opt. 10, 2179 (1971);A. R. Shulman, Optical Data Processing (Wiley, New York, 1970), pp. 25 and 36.
    [Crossref] [PubMed]
  14. Invented by Sir David Brewster, British Patent Specification No. 4136, 30 August 1817.

1971 (2)

Yu. N. Denisyuk, N. M. Ramishvili, and V. V. Chavchanidze, Opt. Spektrosk. 30, 1130 (1971) [Opt. Spectrosc. 30, 603 (1971)];H. Dammann, G. Groh, and M. Kock, Appl. Opt. 10, 1454 (1971).
[Crossref] [PubMed]

See, for example, J. H. Myer, Appl. Opt. 10, 2179 (1971);A. R. Shulman, Optical Data Processing (Wiley, New York, 1970), pp. 25 and 36.
[Crossref] [PubMed]

1969 (1)

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. 5, 331 (1969).
[Crossref]

1968 (1)

S. Lu, Proc. Inst. Electr. Eng. 56, 116 (1968);G. Groh, Appl. Opt. 7, 1643 (1968);Appl. Opt. 8, 967 (1969);S. Lowenthal, A. Werts, and M. Rembault, C.R. Acad. Sci. B 267, 120 (1968).
[Crossref] [PubMed]

1967 (1)

1966 (1)

1965 (1)

1964 (1)

1962 (1)

G. L. Rogers, Proc. Phys. Soc. Lond. B 157, 83 (1962);K. Shimizu, Exp. Mech. News (1), 3 (1970),and Mech. Res. News (7), 1 (1971) (both in Japanese).
[Crossref]

1959 (1)

1957 (1)

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. Lond. B 70, 486 (1957);Proc. Phys. Soc. Lond. B 70, 497 (1957);Proc. Phys. Soc. Lond. B 70, 505 (1957).
[Crossref]

1948 (1)

E. Lau, Ann. Phys. (Leipz.) 2, 417 (1948).
[Crossref]

1836 (1)

H. F. Talbot, Philos. Mag. 9, 401 (1836);Lord Rayleigh, Philos. Mag. 11, 196 (1881);A. Winkelmann, Ann. Phys. (Leipz.) 27, 905 (1908);H. Weisel, Ann. Phys. (Leipz.) 33, 995 (1910);M. Wolfke, Ann. Phys. (Leipz.) 40, 194 (1913).
[Crossref]

Breazeale, M. A.

Chavchanidze, V. V.

Yu. N. Denisyuk, N. M. Ramishvili, and V. V. Chavchanidze, Opt. Spektrosk. 30, 1130 (1971) [Opt. Spectrosc. 30, 603 (1971)];H. Dammann, G. Groh, and M. Kock, Appl. Opt. 10, 1454 (1971).
[Crossref] [PubMed]

Cowley, J. M.

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. Lond. B 70, 486 (1957);Proc. Phys. Soc. Lond. B 70, 497 (1957);Proc. Phys. Soc. Lond. B 70, 505 (1957).
[Crossref]

Denisyuk, Yu. N.

Yu. N. Denisyuk, N. M. Ramishvili, and V. V. Chavchanidze, Opt. Spektrosk. 30, 1130 (1971) [Opt. Spectrosc. 30, 603 (1971)];H. Dammann, G. Groh, and M. Kock, Appl. Opt. 10, 1454 (1971).
[Crossref] [PubMed]

Furukawa, M.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. 5, 331 (1969).
[Crossref]

Hiedemann, E. A.

Kitano, I.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. 5, 331 (1969).
[Crossref]

Koizumi, K.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. 5, 331 (1969).
[Crossref]

Lau, E.

E. Lau, Ann. Phys. (Leipz.) 2, 417 (1948).
[Crossref]

Lu, S.

S. Lu, Proc. Inst. Electr. Eng. 56, 116 (1968);G. Groh, Appl. Opt. 7, 1643 (1968);Appl. Opt. 8, 967 (1969);S. Lowenthal, A. Werts, and M. Rembault, C.R. Acad. Sci. B 267, 120 (1968).
[Crossref] [PubMed]

Matsumura, H.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. 5, 331 (1969).
[Crossref]

Montgomery, W. D.

Moodie, A. F.

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. Lond. B 70, 486 (1957);Proc. Phys. Soc. Lond. B 70, 497 (1957);Proc. Phys. Soc. Lond. B 70, 505 (1957).
[Crossref]

Myer, J. H.

Newman, P. A.

Osterberg, H.

Ramishvili, N. M.

Yu. N. Denisyuk, N. M. Ramishvili, and V. V. Chavchanidze, Opt. Spektrosk. 30, 1130 (1971) [Opt. Spectrosc. 30, 603 (1971)];H. Dammann, G. Groh, and M. Kock, Appl. Opt. 10, 1454 (1971).
[Crossref] [PubMed]

Rible, V. E.

Rogers, G. L.

G. L. Rogers, Proc. Phys. Soc. Lond. B 157, 83 (1962);K. Shimizu, Exp. Mech. News (1), 3 (1970),and Mech. Res. News (7), 1 (1971) (both in Japanese).
[Crossref]

Smith, L. W.

Talbot, H. F.

H. F. Talbot, Philos. Mag. 9, 401 (1836);Lord Rayleigh, Philos. Mag. 11, 196 (1881);A. Winkelmann, Ann. Phys. (Leipz.) 27, 905 (1908);H. Weisel, Ann. Phys. (Leipz.) 33, 995 (1910);M. Wolfke, Ann. Phys. (Leipz.) 40, 194 (1913).
[Crossref]

Uchida, T.

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. 5, 331 (1969).
[Crossref]

Winthrop, J. T.

Worthington, C. R.

Ann. Phys. (Leipz.) (1)

E. Lau, Ann. Phys. (Leipz.) 2, 417 (1948).
[Crossref]

Appl. Opt. (2)

IEEE J. Quantum Electron. (1)

T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. 5, 331 (1969).
[Crossref]

J. Opt. Soc. Am. (4)

Opt. Spektrosk. (1)

Yu. N. Denisyuk, N. M. Ramishvili, and V. V. Chavchanidze, Opt. Spektrosk. 30, 1130 (1971) [Opt. Spectrosc. 30, 603 (1971)];H. Dammann, G. Groh, and M. Kock, Appl. Opt. 10, 1454 (1971).
[Crossref] [PubMed]

Philos. Mag. (1)

H. F. Talbot, Philos. Mag. 9, 401 (1836);Lord Rayleigh, Philos. Mag. 11, 196 (1881);A. Winkelmann, Ann. Phys. (Leipz.) 27, 905 (1908);H. Weisel, Ann. Phys. (Leipz.) 33, 995 (1910);M. Wolfke, Ann. Phys. (Leipz.) 40, 194 (1913).
[Crossref]

Proc. Inst. Electr. Eng. (1)

S. Lu, Proc. Inst. Electr. Eng. 56, 116 (1968);G. Groh, Appl. Opt. 7, 1643 (1968);Appl. Opt. 8, 967 (1969);S. Lowenthal, A. Werts, and M. Rembault, C.R. Acad. Sci. B 267, 120 (1968).
[Crossref] [PubMed]

Proc. Phys. Soc. Lond. B (2)

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. Lond. B 70, 486 (1957);Proc. Phys. Soc. Lond. B 70, 497 (1957);Proc. Phys. Soc. Lond. B 70, 505 (1957).
[Crossref]

G. L. Rogers, Proc. Phys. Soc. Lond. B 157, 83 (1962);K. Shimizu, Exp. Mech. News (1), 3 (1970),and Mech. Res. News (7), 1 (1971) (both in Japanese).
[Crossref]

Other (1)

Invented by Sir David Brewster, British Patent Specification No. 4136, 30 August 1817.

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Figures (5)

F.1
F.1

Illustration of how Fresnel images are formed in a self-imaging situation.

F. 2
F. 2

Schematic representation of the imaging system. Arrays of images of the spatial incoherently illuminated object in O appear in several planes behind and in front of the pinhole array P.

F. 3
F. 3

Recordings of the irradiance distributions in different planes of the self-imaging arrangement shown in Fig. 2. Identification of the images is found in Table I.

F. 4
F. 4

Recordings of Fourier images in different planes when an hexagonal pinhole array was used.

F. 5
F. 5

Illustration of how an array of virtual objects in an optical tunnel can be used for self-imaging.

Tables (1)

Tables Icon

Table I Specification of the recorded images in Figs. 3 and 4.