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Optical transforms and coherent processing systems —with insights from crystallography

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Optical Data Processing

Part of the book series: Topics in Applied Physics ((TAP,volume 23))

Abstract

This particular chapter is probably somewhat unusual because its purpose is a little different than some of the other contributions. We are not looking at how optical methods are being used to solve problems in a particular field even though there is a continued activity in the area of optical analogs to X-ray diffraction. The thesis has really been that there have been interesting pieces of work carried out by researchers actively engaged in optical analog techniques that can provide considerable insight to those working in the various aspects of diffraction and optical processing. I trust that this proves to be true.

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References

  1. R.W.Ditchburn: Light (Academic Press, New York 1976) p.190

    MATH  Google Scholar 

  2. J.T.Thomasson, T.J.Middelton, N.Jensen: SPIE Proc. Coherent Optics in Mapping 45, 257 (1974)

    ADS  Google Scholar 

  3. G.G.Lendaris, G.L.Stanley: Proc. IEEE 58, 198 (1970)

    Article  Google Scholar 

  4. A.L.Wertheimer, W.L.Wilcock: Appl. Opt. 15, 1616 (1976)

    Article  ADS  Google Scholar 

  5. N. George, H. L. Kasdan: International Optical Computing Conference, Digest of paper, IEEE 120 (1976)

    Google Scholar 

  6. A.Topler: Pogg. Ann. Phys. Chem. 127, 556 (1866)

    Article  ADS  Google Scholar 

  7. E.Abbe: Arch. Mikrosk. Anat. 9, 413 (1873)

    Article  Google Scholar 

  8. A.B.Porter: Phil. Mag. 11, 154 (1906)

    MATH  Google Scholar 

  9. A.A.Michelson: Studies in Optics (Univ. of Chicago Press, Chicago, Illinois 1927) p. 60

    MATH  Google Scholar 

  10. F.Zernike: Z. Tech. Phys. 16, 454 (1935)

    Google Scholar 

  11. A.Maréchal, P.Croce: Compt. Rend. 237, 706 (1953)

    Google Scholar 

  12. H.Lipson, C.A.Taylor: Fourier Transforms and X-Ray Diffraction (G. Bell and Sons Ltd., London 1958)

    MATH  Google Scholar 

  13. C.A.Taylor, H.Lipson: Optical Transforms, Their Preparation and Application to X-Ray Diffraction (G. Bell and Sons Ltd., London 1964)

    Google Scholar 

  14. H.S.Lipson (ed.): Optical Transforms (Academic Press, London 1972)

    Google Scholar 

  15. G.Harburn, C.A.Taylor, T.R.Welberry: Atlas or Optical Transforms (Cornell University Press, Ithaca, New York 1975)

    Google Scholar 

  16. M.E.Krisl: In preparation (1977)

    Google Scholar 

  17. D.Warren, M.S.: Thesis (University of Rochester 1977)

    Google Scholar 

  18. C.A.Taylor, B.J.Thompson: J. Sci. Instrum. 35, 294 (1958)

    Article  ADS  Google Scholar 

  19. M.Born, E.Wolf: Principles of Optics (Pergamon Press, New York 1969)

    MATH  Google Scholar 

  20. C.A.Taylor, B.J.Thompson: J. Opt. Soc. Am. 48, 844 (1958)

    Article  ADS  Google Scholar 

  21. B.J.Thompson: Optical Transforms, ed. by H.Lipson (Academic Press, New York 1972) Chapts. 2 and 8, pp. 27–68, 267–295

    Google Scholar 

  22. B.J.Thompson: J. Opt. Soc. Am. 56, 1167 (1966)

    Article  ADS  Google Scholar 

  23. U.Thompson: Optical Information Processing, ed. by Yu E.Nesterikhin, G.W.Stroke, and W.E.Koch (Plenum Press, New York 1976) p.313

    Google Scholar 

  24. G.B.Parrent, B.J.Thompson: J. Soc. Photo-Opt. Instr. Eng. 5, 74 (1966)

    Google Scholar 

  25. S.Lowenthal, A.Wertz, M.Rembault: C. R. Acad. Sci. 267, 120 (1968)

    Google Scholar 

  26. G.Groh: Appl. Opt. 7, 1643 (1968)

    Article  ADS  Google Scholar 

  27. G.Groh: Appl. Opt. 8, 967 (1969)

    Article  ADS  Google Scholar 

  28. R.P.Grosso, S.J.Kishner, R.M.Vesper: Applications of Lasersto Photography and Informatron Handling, ed. by R.Murray (SPSE, Washington, DC 1968) p. 131

    Google Scholar 

  29. S.Lu: Proc. IEEE 56, 116 (1968)

    Article  Google Scholar 

  30. W.L.Bragg: Nature 143, 678 (1939)

    Article  ADS  Google Scholar 

  31. P.P.Ewald: Proc. Phys. Soc. 52, 167 (1940)

    Article  ADS  Google Scholar 

  32. G.Knott: Proc. Phys. Soc. 52, 227 (1940)

    Article  ADS  Google Scholar 

  33. C.A.Taylor, B.J.Thompson: J. Sci. Instrum. 34, 439 (1957)

    Article  ADS  Google Scholar 

  34. G.Harburn, J.K.Ranniko: J.Phys. E: Sci. Instrum. 5, 757 (1972)

    Article  ADS  Google Scholar 

  35. G.W.Stroke, M.Halioua: Trans. Amer. Cryst. Assoc. 12, 27–41 (1976)

    Google Scholar 

  36. G.Harburn: Optical Transforms, ed. by H.S.Lipson (Academic Press, New York 1972) Chap. 6, p. 189

    Google Scholar 

  37. W.L. Bragg: Nature 149, 470 (1942)

    Article  ADS  Google Scholar 

  38. G.Harburn, C.A.Taylor: Proc. R. Soc. 204, 339 (1961)

    Google Scholar 

  39. B.D.Dunkerley, H.Lipson: Nature 176, 81 (1955)

    Article  ADS  Google Scholar 

  40. A.W.Hanson, H.Lipson: Acta Cryst. 5, 362 (1952)

    Article  Google Scholar 

  41. G.Harburn, C.A.Taylor: Nature 194, 764 (1962)

    Article  ADS  Google Scholar 

  42. G.W.Stroke: International Optical Computing Conference, Capri, Italy, August 31–September 2. Digest of Papers, IGLE, p.4

    Google Scholar 

  43. A.W.Hanson, H.Lipson: Acta Cryst. 5, 362 (1952)

    Article  Google Scholar 

  44. H.Lipson, B.J.Thompson: Bull. Nat. Inst. Sci. India 14, p.80 (1959)

    Google Scholar 

  45. B.Chaudhuri, A.Hargreaves: Acta Cryst. 9, 793 (1956)

    Article  Google Scholar 

  46. B.J.Thompson: Ph. D. Thesis (University of Manchester 1959)

    Google Scholar 

  47. K. Morley: Private communication (1958)

    Google Scholar 

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David Casasent Ph D

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© 1978 Springer-Verlag

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Thompson, B.J. (1978). Optical transforms and coherent processing systems —with insights from crystallography. In: Casasent, D. (eds) Optical Data Processing. Topics in Applied Physics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0057982

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  • DOI: https://doi.org/10.1007/BFb0057982

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  • Print ISBN: 978-3-540-08453-2

  • Online ISBN: 978-3-540-37043-7

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