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Angular Spectrum Decomposition: Improving the Resolution

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Acoustical Imaging

Part of the book series: Acoustical Imaging ((ACIM,volume 14))

Abstract

Angular spectrum decomposition is a technique which is being used to represent a given wave field the way a spectrum is used to represent a given time varying signal. This technique can reconstruct a source from the measured field on a plane. This paper deals with the resolution aspect of the reconstruction. In particular, two methods to improve the resolution of the reconstruction are described and substantiated with simulations. The first concerns the use of multiple frequency and the second involves the use of multiple element spacing in the detecting array.

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References

  1. Goodman, J. W. Introduction to Fourier Optics, ch. 3, Mcgraw-Hill, 1968.

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  2. Williams, E. G.; Maynard, J. D.; Skudrzyk, E. “Sound source reconstructions using a microphone array” Journal of Acoustical Society of America v. 68, 1980, pp. 340–344.

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  3. Wolf, E. “The inverse wave propagator” Physics Letters v. 25A, number 6, pp. 417 – 418, 1967.

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  4. note: The expression given here differs from that given in (2) by a factor of pi in the real part.

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  5. Waag, R. C.; Campbell, J. A.; Ridder, J.; Mesdag, P.R. “Cross-sectional measurement and extrapolations of ultrasonic fields” IEEE Transactions on Sonics and Ultrasonics (in press)

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  6. Certo, M.“Three-dimensional defect imaging by multifrequency acoustical holography” Materials Evaluation v. 41. pp. 946–950, 1983.

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Author information

Authors and Affiliations

  1. Biomedical Engineering and Science Institute, Drexel University, 32nd & Chestnut Streets, Philadelphia, PA, USA, 19104

    Tat-Jin Teo & John M. Reid

Authors
  1. Tat-Jin Teo
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  2. John M. Reid
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Editor information

Editors and Affiliations

  1. Delft University of Technology, Delft, The Netherlands

    A. J. Berkhout

  2. Institute of Applied Physics TNO-TH, Delft, The Netherlands

    J. Ridder  & L. F. van der Wal  & 

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© 1985 Plenum Press, New York

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Teo, TJ., Reid, J.M. (1985). Angular Spectrum Decomposition: Improving the Resolution. In: Berkhout, A.J., Ridder, J., van der Wal, L.F. (eds) Acoustical Imaging. Acoustical Imaging, vol 14. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2523-9_14

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  • DOI: https://doi.org/10.1007/978-1-4613-2523-9_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9524-2

  • Online ISBN: 978-1-4613-2523-9

  • eBook Packages: Springer Book Archive

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