Abstract
Ultrasonic imaging transducers have been proposed in which a piezoelectric plate is used in conjunction with a Fresnel Zone Plate (FZP) to produce a focused beam of ultrasound. Focusing is achieved with these devices by activating the piezoelectric plate with an electrode pattern in the shape of an FZP. The focal plane distribution of these transducers cannot, in general, be predicted by diffraction theory alone. This is because the acoustic field pattern in front of the transducer is not an exact replica of the FZP electrode pattern. In this paper we show that elastic wave generation and propagation inside the piezoelectric plate cause the acoustic field pattern directly in front of the plate to differ from the electrode pattern. These effects are called mechanical aberrations. We show that mechanical aberrations cause the focal plane distribution to be broader than that predicted by diffraction theory. The effects on resolution of material properties and other device parameters are discussed. Experimental results are also presented.
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References
S.A. Farnow and B.A. Auld, “Acoustic Fresnel Zone Plate Transducers,” App. Phys. Lett., Vol. 25, pp. 681–682, 1974.
K. Wang, V. Burns, G. Wade, and S. Elliott, “Opto-Acoustic Transducers for Potentially Sensitive Ultrasonic Imaging,” Opt. Eng., Vol. 16, No. 5, pp. 432–439, Sept/Oct 1977.
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Generalization to two dimensions may be achieved by taking advantage of the crystallographic symmetry of the piezoelectric ceramics. The two dimensional transfer function H(fx,f) or H(frf0) (in polar coordinates) may be obtained from Ii(f) by a rotation of H(f) around the H(f) axis. This is mathematically equivalent to replacing f in H(f) by fr. Due to the symmetry, there is no dependence on f0. The corresponding point spread function h(r,6) is obtained by an Inverse Fourier Bessel transform of H(f,fqq) It ro should be noted that h(r,O) cannot be obtained fm’h(x) by a simple rotation of h(x) about the h(x) axis.
J.W. Goodman, Introduction to Fourier Optics, McGraw-Hill, New York, 1976, pp. 54.
R. Adler, “Interaction Between Light and Sound,” IEEE Spectrum, Vol. 4, No. 5, pp. 42–54, 1967.
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© 1982 Plenum Press, New York
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Noorbehesht, B., Mortezaie, M., Wade, G., Schueler, C. (1982). Effect of Mechanical Aberrations on the Resolution of Fresnel Zone Plate Transducers. In: Powers, J.P. (eds) Acoustical Imaging. Acoustical Imaging, vol 11. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1137-9_30
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DOI: https://doi.org/10.1007/978-1-4684-1137-9_30
Publisher Name: Springer, Boston, MA
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