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Acoustical Imaging pp 155–159Cite as

Phase and Amplitude Reconstruction of an Acoustic Source from the Study of its Diffraction Pattern

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Part of the book series: Acoustical Imaging ((ACIM,volume 19))

Abstract

In this paper a general theory for a class of phase retrieval problems of two dimensional band limitted objects is developed. A modified from of polynomial division algorithm is used to solve problem. New algorithms for latent reference point problems and problems with rectangular object is also developed.

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References

  1. J. R. Fienup, “Reconstruction of objects by latent reference point” J. Opt. Soc. Am. Vol. 73, No. ll, pp.1421–1426, Nov. 1983.

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  2. J. W. Goodman, “Analogy between holography and interferometric image formation ” J. Opt. Soc. Am. 60, 506–509, 1970.

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  3. W. J. Dallas “Digital computation of image complex amplitude from image diffraction intensity: an alternative to holography”, Optik 44 (1975) No. 1 pp. 45–59.

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  4. H. E. Moses, & R. T. Prosser “Phase of complex function from the amplitude of the function and the amplitude of the Fourier and Mellin transform” J. Opt. Soc. Am. Vol. 73, No. 11, pp. 1451–1454, Nov. 1983.

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  5. Gerechberg & Saxon “A practical algorithm for the determination of phase from image and differaction plane picture”, Optik 35, pp. 237–246 (1972).

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Author information

Authors and Affiliations

  1. Electrical Engineering Department, Shiraz University, Shiraz, Iran

    M. H. Rahnavard & D. Dabiri

Authors
  1. M. H. Rahnavard
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  2. D. Dabiri
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Editor information

Editors and Affiliations

  1. Ruhr Universität Bochum, Bochum, Germany

    Helmut Ermert  & Hans-Peter Harjes  & 

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© 1992 Springer Science+Business Media New York

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Rahnavard, M.H., Dabiri, D. (1992). Phase and Amplitude Reconstruction of an Acoustic Source from the Study of its Diffraction Pattern. In: Ermert, H., Harjes, HP. (eds) Acoustical Imaging. Acoustical Imaging, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3370-2_26

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  • DOI: https://doi.org/10.1007/978-1-4615-3370-2_26

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6487-0

  • Online ISBN: 978-1-4615-3370-2

  • eBook Packages: Springer Book Archive

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