Abstract

A theory of Fresnel images is presented. Only the Fresnel images of plane periodic objects viewed in monochromatic light are considered. The theory is in agreement with the experimental and computer research available in the literature. Photographs of Fresnel images of gratings are shown to verify certain aspects of the theory.

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  1. H. Talbot, Phil. Mag. 9, 401 (1836).
  2. Lord Rayleigh, Phil. Mag. 11, 196 (1881).
  3. J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. (London) 70, 486, 497, 505 (1957).
  4. E. A. Hiedemann and M. A. Breazeale, J. Opt. Soc. Am. 49, 372 (1959).
  5. E. T. Burtt and W. T. Catton, Proc. Roy. Soc. (London) B157, 53 (1962).
  6. G. L. Rogers, Proc. Roy. Soc. (London) B157, 83 (1962).
  7. J. L. Oncley, M. Ludwig, and T. E. Thompson, Rev. Sci. Instr. 29, 985 (1958).
  8. J. M. Burch, Progr. Opt. 2, 75 (1963).
  9. J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. (London) 71, 533 (1958).
  10. G. L. Rogers, Brit. J. Appl. Phys. 14, 657 (1963).
  11. G. L. Rogers, Brit. J. Appl. Phys. 15, 594 (1964).
  12. D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949).
  13. R. W. James, The Crystalline State (G. Bell and Sons, London, 1954), Vol. II.
  14. H. G. Booker, J. A. Ratcliffe, and D. H. Shinn, Phil. Trans. Roy. Soc. (London) A242, 579 (1950).

Booker, H. G.

H. G. Booker, J. A. Ratcliffe, and D. H. Shinn, Phil. Trans. Roy. Soc. (London) A242, 579 (1950).

Breazeale, M. A.

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

Burch, J. M.

J. M. Burch, Progr. Opt. 2, 75 (1963).

Burtt, E. T.

E. T. Burtt and W. T. Catton, Proc. Roy. Soc. (London) B157, 53 (1962).

Catton, W. T.

E. T. Burtt and W. T. Catton, Proc. Roy. Soc. (London) B157, 53 (1962).

Cowley, J. M.

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. (London) 70, 486, 497, 505 (1957).

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. (London) 71, 533 (1958).

Gabor, D.

D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949).

Hiedemann, E. A.

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

James, R. W.

R. W. James, The Crystalline State (G. Bell and Sons, London, 1954), Vol. II.

Ludwig, M.

J. L. Oncley, M. Ludwig, and T. E. Thompson, Rev. Sci. Instr. 29, 985 (1958).

Moodie, A. F.

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. (London) 71, 533 (1958).

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. (London) 70, 486, 497, 505 (1957).

Oncley, J. L.

J. L. Oncley, M. Ludwig, and T. E. Thompson, Rev. Sci. Instr. 29, 985 (1958).

Ratcliffe, J. A.

H. G. Booker, J. A. Ratcliffe, and D. H. Shinn, Phil. Trans. Roy. Soc. (London) A242, 579 (1950).

Rayleigh, Lord

Lord Rayleigh, Phil. Mag. 11, 196 (1881).

Rogers, G. L.

G. L. Rogers, Proc. Roy. Soc. (London) B157, 83 (1962).

G. L. Rogers, Brit. J. Appl. Phys. 14, 657 (1963).

G. L. Rogers, Brit. J. Appl. Phys. 15, 594 (1964).

Shinn, D. H.

H. G. Booker, J. A. Ratcliffe, and D. H. Shinn, Phil. Trans. Roy. Soc. (London) A242, 579 (1950).

Talbot, H.

H. Talbot, Phil. Mag. 9, 401 (1836).

Thompson, T. E.

J. L. Oncley, M. Ludwig, and T. E. Thompson, Rev. Sci. Instr. 29, 985 (1958).

Other (14)

H. Talbot, Phil. Mag. 9, 401 (1836).

Lord Rayleigh, Phil. Mag. 11, 196 (1881).

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. (London) 70, 486, 497, 505 (1957).

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

E. T. Burtt and W. T. Catton, Proc. Roy. Soc. (London) B157, 53 (1962).

G. L. Rogers, Proc. Roy. Soc. (London) B157, 83 (1962).

J. L. Oncley, M. Ludwig, and T. E. Thompson, Rev. Sci. Instr. 29, 985 (1958).

J. M. Burch, Progr. Opt. 2, 75 (1963).

J. M. Cowley and A. F. Moodie, Proc. Phys. Soc. (London) 71, 533 (1958).

G. L. Rogers, Brit. J. Appl. Phys. 14, 657 (1963).

G. L. Rogers, Brit. J. Appl. Phys. 15, 594 (1964).

D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949).

R. W. James, The Crystalline State (G. Bell and Sons, London, 1954), Vol. II.

H. G. Booker, J. A. Ratcliffe, and D. H. Shinn, Phil. Trans. Roy. Soc. (London) A242, 579 (1950).

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