Characterizing pulses reflected from rough surfaces using ultrasound

Journal of the Acoustical Society of America

Volumn 89, Issue 6, 1991, Pages 2519-2531

  Bozma, Omur ^a   Kuc, Roman ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; ULTRASOUND;

EID: 0025850906     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.400692     Document Type: Article

References (24)

1. L. Rayleigh, Theory of Sound (Dover, New York, 1945), 1st American ed.
2. S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces, ” Comm. Pure Appl. Math. 4, 351–378 (1951).
3. V. Twersky, “On scattering and reflection of sound by rough surfaces, ” J. Acoust. Soc. Am. 29, 209–225 (1957).
4. V. Twersky, “On scattering and reflection of electromagnetic waves by rough surfaces, ” I.R.E. Trans. Antennas Propag. 5, 81–90 (January 1957).
5. C. Eckart, “The scattering of sound from the sea surface, ” J. Acoust. Soc. Am. 25, 566–570 (1953).
6. C. W. Horton, Sr. and T. G. Muir, “Theoretical studies on the scattering of acoustic waves from a rough surface, ” J. Acoust. Soc. Am. 41, 627–634 (1967).
7. C. W. Horton, Sr., S. K. Mitchell, and G. R. Barnard, “Model studies on the scattering of acoustic waves from a rough surface, ” J. Acoust. Soc. Am. 41, 635–643 (1967).
8. P. Beckmann and A. Spizzichino, Electromagnetic Waves (MacMillan, New York, 1963).
9. E. I. Thorsos, “The validity of the Kirchoff approximation for rough surface scattering using a Gaussian roughness spectrum, ” J. Acoust. Soc. Am. 83, 78–92 (1988).
10. J. M. Restrepo and S. T. McDaniel, “Two models for the spatially covariant field scattered by randomly rough pressure-release surfaces with Gaussian spectra, ” J. Acoust. Soc. Am. 87, 2033–2043 (1990).
11. E. P. Gulin, “Reflection of pulse signals from a rough surface, ” Sov. Phys. Acoust. 20(4), 332–337 (1975).
12. Polaroid Corporation, Ultrasonic Ranging System (Polaroid, Cambridge, MA, 1984).
13. L. Tolstoy and C. S. Clay, Ocean Acoustics (McGraw-Hill, New York, 1966).
14. B. B. Baker and E. T. Copson, The Mathematical Theory of Huygen's Principle (Clarendon, Oxford, 1950).
15. L. W. Camp, Underwater Acoustics (Wiley-Interscience, New York, 1970).
16. L. Brekhovskikh and Y. Lysanov, Fundamentals of Ocean Acoustics (Springer-Verlag, New York, 1982).
17. 7P. J. Lynch, “Curvature corrections to rough-surface scattering at high frequencies, ” J. Acoust. Soc. Am. 47, 804–815 (1970).
18. A. V. Oppenheim, A. S. Willsky, and I. T. Young, Signals and Systems (Prentice Hall International, London, 1983).
19. A. Papoulis, Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York, 1984), 2nd ed.
20. B. O. Peirce, Short Tables of Integrals (Ginn and Company, Boston, 1929), 3rd ed.
21. There is a slight difference between the (E2ω1))(E2(ω2)) term in Eq. (16) and the corresponding one derived from Eq. (12). This occurs because the approximate form of E2(P) given by Eq. (8) has been used for deriving Eq. (16), whereas Eq. (12) has been derived using the more exact form given by Eq. (6).
22. A. D. Pierce, Acoustics: An Introduction to Its Physical Principles and Applications (McGraw-Hill, New York, 1981).
23. R. Kuc, “A spatial sampling criterion for sonar obstacle detection, ” IEEE Trans. Pattern Analysis and Machine Intelligence 12(7), 686–690 (1990).
24. L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1980).