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Acoustic Aperture Diffraction in a Transversely Moving Medium

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Acoustical Holography
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Abstract

The theory of diffraction from a screen in a static medium is well known. The diffraction pattern is altered, however, if there is relative motion between the diffraction plane, the observation plane or the medium between planes. The case of relative transverse motion of the medium is investigated theoretically by generalizing the wave equation to include this motion, assuming a uniform, constant velocity. An equivalent Rayleigh-Sommerfeld integral is developed for this case. It is used to obtain a closed-form solution for the diffraction pattern in the Fraunhofer region for medium velocities less than the speed of sound. This solution is used to predict the amplitude distributions for several diffracting screen configurations. The results of this theory have application in performance characterization for a number of highscan-rate acoustic imaging systems.

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References

  1. B.P. Hildebrand, “Effect of High Scanning Velocities on the Holographic Image,’” Journal of the Cpt. Soc. Amer., Vol. 60, No. 9, pp. 1166–1168 (1970).

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  2. A. Coello-Vera, L. Schlussler; G. Flasher, G, Wade, and J. Fontana, “Motion Limitations in Acoustic Holography Using an Electronic Reference” to be published in the Proc. of the Symposium on Optical, Electro-Optical, Laser and Photographic Technology, San Diego, CA (1976).

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  3. M. Born and E. Wolf, “Principles of Optics,” Pergamon Press, N.Y. (1968).

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  4. J. Goodman, ‘Introduction to Fourier Optics,“ McGraw-Hill, N.Y. (1968).

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  5. J.F. Havlice, G.S. Kino, J.S. Kofol and C.F. Quate, “An Electronically Focused Acoustic Imaging Device,” Acoustical Holography, Vol. 5, Plenum Press, N.Y., pp. 317–333 (1973).

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  6. K. Wang and G. Wade, “A Scanning Focused-Beam System for Real-Time Diagnostic Imaging,” Acoustical Holography Vol. 6, Plenum Press, N.Y., pp. 213–228 (1975).

    Google Scholar 

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© 1977 Springer Science+Business Media New York

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Flesher, G., Elliott, S. (1977). Acoustic Aperture Diffraction in a Transversely Moving Medium. In: Kessler, L.W. (eds) Acoustical Holography. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0653-6_41

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  • DOI: https://doi.org/10.1007/978-1-4757-0653-6_41

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0655-0

  • Online ISBN: 978-1-4757-0653-6

  • eBook Packages: Springer Book Archive

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