Abstract
It was shown in a previous analysis that a mosaic of piezoelectric acoustic detectors would be sensitive enough to image tissue structures deep within the body and would be able to resolve details as small as one millimeter1. We will discuss here a method of achieving the effect of a full piezoelectric aperture without having to build one. The basic idea is that if we measure the amplitude and phase of a wave-front on the annulus bounding an aperture, it is possible to use these measurements to produce an image of the object producing that wave front Moreover, the resolution of the image produced by an annulus around an aperture will equal the resolution produced by the full aperture.
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References
Vilkomerson, D. “Analysis of Various Ultrasonic Holographic Imaging Methods for Medical Diagnosis”, Acoustical Holography, Vol. IV, Plenum Press, N.Y. (1972).
Jahnke, E. and Ende, F. “Tables of Functions” Fourth Ed., page 149, Dover Publications, N.Y. (1945).
McLean, D. J. “The Improvement of Images Obtained with Annular Apertures” Proc. Roy. Soc. A 263, 545–551 (1961).
Wild, J. P. “A New Method of Image Formation with Annular Apertures and an Application in Radio Astronomy”, Proc. Roy. Soc. 286 A, 499 (1965).
Goodman, J. W. “Intro. to Fourier Optics”, Chapter 6, McGraw-Hill, N.Y. (1968).
Born, M. and Wolf, E. “Principles of Optics” Third Ed., Chapter 8, Pergamon Press, N.Y. (1965).
Goodman, J. W. “Intro. to Fourier Optics”, Chapter 1, McGraw-Hill, N.Y. (1968).
Martienssen, W. and Spillter, S. “Holographic Reconstruction Without Granulation”, Phys. Lett. 24 A, 126 (1967).
George, N. and Jain, A. “Speckle Reduction Using Multiple Tones of Illumination”, Appl. Optics 12, 1202 (1973).
Carter, A. W. L. and Wild, J. “Some Correction Processes for Annular Aerial Systems”, Proc. Roy. Soc. A 282, 252 (1964).
Wild, J. “Eighty Mhz Photography of Eruption of a Solar Prominence”, Nature 218, 536 (1968).
Toraldo Di Francia, G., “Degrees of Freedom of Image”, J. Opt. Soc. Am. 59, 799 (1969);
also Gori, E. and Guattari, G., J. Opt. Soc. Am. 61, 36 (1971).
Harris, J. L., “Diffraction and Resolving Power”, J. Opt. Soc. Am. 54, 931 (1964).
Sokolnikoff, I., and Redheffer, R., “Mathematics of Physics and Modern Engineering”, page 129, McGraw-Hill, N.Y. (1950).
Courant, R. “Differential and Integral Calculus”, Vol. I, page 131, Interscience Publishers, N.Y. (1957).
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© 1974 Springer Science+Business Media New York
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Vilkomerson, D. (1974). Acoustic Imaging with Thin Annular Apertures. In: Green, P.S. (eds) Acoustical Holography. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0827-1_18
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DOI: https://doi.org/10.1007/978-1-4757-0827-1_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0829-5
Online ISBN: 978-1-4757-0827-1
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