Abstract
The last Chapter showed that the superposition of multiple high frequency line sources generated an effective model of the acoustic wave field of an element. While that model can be used for any size element, there are a number of alternate models available for large, single element transducers that are useful for understanding the overall behavior of an array of small elements. Thus, in this Chapter we will consider such alternative models and demonstrate the principles behind beam steering and focusing with those models. A similar approach was used by Ziomek to describe sound beams in underwater acoustics. As in Chap. 2, we will treat the element as a 1-D source of sound radiating waves in two dimensions.
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References
L.J. Ziomek, Underwater Acoustics—A Linear Systems Theory Approach (Academic, New York, 1985)
L.J. Ziomek, Fundamentals of Acoustic Field Theory and Space-Time Signal Processing (CRC Press, Boca Raton, 1995)
H.T. O Neil, Theory of focusing radiators. J. Acoust. Soc. Am. 21, 516–526 (1949)
M. Abramovich, I.A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1965)
K.J. Parker, Apodization and windowing functions. IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 60, 1263–1271 (2013)
J.J. Wen, M.A. Breazeale, A diffraction beam field expressed as the superposition of Gaussian beams. J. Acoust. Soc. Am. 83, 1752–1756 (1988)
J.J. Wen, M.A. Breazeale, in Computational Acoustics: Scattering, Gaussian Beams, and Aeroacoustics, vol 2, ed. by D. Lee, A. Cakmak, R. Vichnevetsky. Computer optimization of the Gaussian beam description of an ultrasonic field (North Holland, Amsterdam, 1990), pp. 181–196
R. Huang, L.W. Schmerr, A. Sedov, Modeling the radiation of ultrasonic phased-array transducers with Gaussian beams. IEEE Trans. Ultrason Ferroelectr. Freq. Control. 55, 2692–2702 (2008)
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Schmerr Jr., L. (2015). Large, Single Element Transducer Models. In: Fundamentals of Ultrasonic Phased Arrays. Solid Mechanics and Its Applications, vol 215. Springer, Cham. https://doi.org/10.1007/978-3-319-07272-2_3
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DOI: https://doi.org/10.1007/978-3-319-07272-2_3
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