Abstract
A generalized treatment for the mechanics of ray acoustics, in the intermediate wavelength regime, is systematically developed. The discussion makes extensive use of geometric acoustical solutions (eikonal solutions) in which their frequency dependence is taken into account. One of the results yields the mapping of the acoustic object-to-image fields by means of a transfer matrix for the acoustic propagation. The study is restricted to the case of coherent illumination.
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References
H. Galburn, Propagation d’une Onde Sonore dans l’Atmosphère, Gauthiers-Villars, Paris (1931).
L. P. Solomon, D. K. Ai, and G. Haven, J. Acous. Soc. Am. 44:1121 (1968).
A. B. Wood, A Textbook of Sound, 3rd ed., Macmillan, New York (1955).
M. Born and E. Wolf, Principles of Optics, Pergamon Press, New York, (1959).
A. Sommerfeld and J. Runge, Ann. Physik 35:289 (1911).
M. Kline and I. W. Kay, Electromagnetic Theory and Geometrical Optics, Interscience Publishers, New York (1965), p. 12ff.
R. K. Luneberg, New York University Lectures 1947–48.
H. Goldstein, Classical Mechanics, Addison Wesley Publ. Co., Cambridge, Mass. (1953).
L. Brillouin, Les Tenseurs en Mécanique et en Elasticité, Dover Publications, New York (1946).
E. Kemble, Quantum Mechanics, Dover Publications, New York (1958), p. 10ff.
F. G. Friedlander, Sound Pulses, Cambridge Univ. Press (1958).
K. G. Budden, Radio Waves in the Ionosphere, Cambridge Univ. Press (1961).
G. A. Campbell and R. M. Foster, Fourier Integrals, D. Van Nostrand Co., New York (1948).
J. Heading, An Introduction to Phase-Integral Methods, Methuen and Co. London (1961).
A. Erdelyi, Asymptotic Expansions, Dover Publications, New York (1956) p. 79ff.
L. Brillouin, Wave Propagation and Group Velocity, Academic Press, New York (1960).
P. Sturrock, Static and Dynamic Electron Optics, Cambridge Univ. Press (1955).
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© 1970 Plenum Press, New York
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Mawardi, O.K. (1970). On the Theory of Acoustical Imaging. In: Metherell, A.F., Larmore, L. (eds) Acoustical Holography. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8207-6_3
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DOI: https://doi.org/10.1007/978-1-4615-8207-6_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4615-8209-0
Online ISBN: 978-1-4615-8207-6
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