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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 60, Iss. 1 — Jan. 1, 1970
  • pp: 15–16

Image Reconstruction from Phase Information Only

DORIAN KERMISCH  »View Author Affiliations

JOSA, Vol. 60, Issue 1, pp. 15-16 (1970)

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A quantitative analysis of the effect on image reconstruction of discarding the amplitude information contained in a wavefront reflected by a diffusely reflecting, coherently illuminated surface is given. The image reconstruction from a phase record alone is analyzed for the perfect and imperfect phase-matching cases.

DORIAN KERMISCH, "Image Reconstruction from Phase Information Only," J. Opt. Soc. Am. 60, 15-16 (1970)

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  1. L. B. Lesem, P. M. Hirsch, and J. A. Jordan, Jr., IBM J. Res. Develop. 13, 150 (1969).
  2. This restriction is introduced mostly to simplify the mathematical formulation and does not have any particular physical significance.
  3. J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).
  4. For a discussion of the central-limit theorem see, for example, D. Middleton, Introduction to Statistical Comminunication Theory (McGraw-Hill Book Co., New York, 1960), Sec. 7.7-3.
  5. It can, for example, be derived from Ref. 4, Sec. 9.1, Eq. (9.33).
  6. See, for example, Ref. 4, problem 9.1 (d). [The term ¼π2 before the summation sign in Eq. (8) is apparently wrong and should not be there.]

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