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.

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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).
  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).
  3. E. Lau, Ann. Phys. (Leipz.) 2, 417 (1948).
  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).
  5. E. A. Hiedemann and M. A. Breazeale, J. Opt. Soc. Am. 49, 372 (1959).
  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).
  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).
  8. W. D. Montgomery, J. Opt. Soc. Am. 57, 772 (1967).
  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).
  10. P. A. Newman and V. E. Rible, Appl. Opt. 5, 1225 (1966).
  11. H. Osterberg and L. W. Smith, J. Opt. Soc. Am. 54, 1073 (1964); J. Opt. Soc. Am. 54, 1078 (1964).
  12. T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. 5, 331 (1969).
  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.
  14. Invented by Sir David Brewster, British Patent Specification No. 4136, 30 August 1817.

1971

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).

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.

1969

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

1968

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).

1967

W. D. Montgomery, J. Opt. Soc. Am. 57, 772 (1967).

1966

P. A. Newman and V. E. Rible, Appl. Opt. 5, 1225 (1966).

1965

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).

1964

H. Osterberg and L. W. Smith, J. Opt. Soc. Am. 54, 1073 (1964); J. Opt. Soc. Am. 54, 1078 (1964).

1962

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).

1959

E. A. Hiedemann and M. A. Breazeale, J. Opt. Soc. Am. 49, 372 (1959).

1957

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).

1948

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

1836

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).

Breazeale, M. A.

E. A. Hiedemann and M. A. Breazeale, J. Opt. Soc. Am. 49, 372 (1959).

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).

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).

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).

Furukawa, M.

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

Hiedemann, E. A.

E. A. Hiedemann and M. A. Breazeale, J. Opt. Soc. Am. 49, 372 (1959).

Kitano, I.

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

Koizumi, K.

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

Lau, E.

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

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).

Matsumura, H.

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

Montgomery, W. D.

W. D. Montgomery, J. Opt. Soc. Am. 57, 772 (1967).

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).

Myer, J. H.

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.

Newman, P. A.

P. A. Newman and V. E. Rible, Appl. Opt. 5, 1225 (1966).

Osterberg, H.

H. Osterberg and L. W. Smith, J. Opt. Soc. Am. 54, 1073 (1964); J. Opt. Soc. Am. 54, 1078 (1964).

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).

Rible, V. E.

P. A. Newman and V. E. Rible, Appl. Opt. 5, 1225 (1966).

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).

Smith, L. W.

H. Osterberg and L. W. Smith, J. Opt. Soc. Am. 54, 1073 (1964); J. Opt. Soc. Am. 54, 1078 (1964).

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).

Uchida, T.

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

Winthrop, J. T.

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).

Worthington, C. R.

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).

Other

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).

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).

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

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).

E. A. Hiedemann and M. A. Breazeale, J. Opt. Soc. Am. 49, 372 (1959).

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).

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).

W. D. Montgomery, J. Opt. Soc. Am. 57, 772 (1967).

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).

P. A. Newman and V. E. Rible, Appl. Opt. 5, 1225 (1966).

H. Osterberg and L. W. Smith, J. Opt. Soc. Am. 54, 1073 (1964); J. Opt. Soc. Am. 54, 1078 (1964).

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

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.

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

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