The Laplace transform to describe bounded inhomogeneous waves

Journal of the Acoustical Society of America

Volumn 116, Issue 1, 2004, Pages 51-60

  Declercq, Nico F ^a   Degrieck, Joris ^a   Leroy, Oswald ^b  

^a GHENT UNIVERSITY   (Belgium)

^b UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

LAPLACE TRANSFORMS; VECTORS;

FORM BOUNDED BEAMS; INHOMOGENEOUS WAVES;

MECHANICAL WAVES;

ACOUSTICS; ARTICLE; FOURIER TRANSFORMATION; MATHEMATICAL ANALYSIS; OSCILLATION; PRIORITY JOURNAL; SOLID; THEORY;

EID: 3142754216     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1756672     Document Type: Article

References (15)

1. B. Poirée, "Plane evanescent waves in ideal liquids and elastic solids," J. Acoust. 2, 205-216 (1989).
2. M. Deschamps, "The plane heterogeneous wave and its applications in linear acoustics," J. Acoust. 4, 269-305 (1991).
3. B. Poirée, "Complex harmonic waves," Physical Acoustics, edited by O. Leroy and M. A. Breazeale (Plenum, New York, 1991), pp. 99-117.
4. G. Quentin, A. Derem, and B. Poirée, "The formalism of evanescent plane waves and its importance in the study of the generalized Rayleigh wave," J. Acoust. 3, 321-336 (1990).
5. J. M. Claeys and O. Leroy, "Reflection and transmission of bounded sound beams on half spaces and through plates," J. Acoust. Soc. Am. 72, 585-590 (1982).
6. K. Van Den Abeele and O. Leroy, "Complex harmonic wave scattering as the framework for investigation of bounded beam reflection and transmission at plane interfaces and its importance in the study of vibrational modes," J. Acoust. Soc. Am. 93, 308-323 (1993).
7. K. Van Den Abeele and O. Leroy, "On the influence of frequency and width of an ultrasonic bounded beam in the investigation of materials: Study in terms of heterogeneous plane waves," J. Acoust. Soc. Am. 93, 2688-2699 (1993).
8. M. Deschamps and B. Hosten, "The generation of bulk heterogeneous waves in a non-absorbing liquid," Acustica 68, 92-95 (1989).
9. W. Huang, R. Briers, S. I. Rokhlin, and O. Leroy, "Experimental study of inhomogeneous wave reflection from a solid-air periodically rough boundary using leaky Rayleigh waves," J. Acoust. Soc. Am. 96, 363-369 (1994).
10. M. Deschamps, "Reflection and refraction of the evanescent plane wave on plane interfaces," J. Acoust. Soc. Am. 96, 2841-2848 (1994).
11. R. Briers, O. Leroy, O. Poncelet, and M. Deschamps, "Experimental verification of the calculated diffraction field generated by inhomogeneous waves obliquely incident on a periodically rough liquid-solid boundary," J. Acoust. Soc. Am. 106, 682-687 (1999).
12. N. F. Declercq, J. Degrieck, R. Briers, and O. Leroy, "Theoretical verification of the backward displacement of waves reflected from an interface having superimposed periodicity," Appl. Phys. Lett. 82, 2533-2534 (2003).
13. N. F. Declercq, J. Degrieck, R. Briers, and O. Leroy, "A theoretical treatment of the backward beam displacement on periodically corrugated surfaces and its relation to leaky Scholte-Stoneley waves," submitted elsewhere.
14. N. F. Declercq, J. Degrieck, R. Briers, and O. Leroy, "A theoretical elucidation for the experimentally observed backward displacement of waves reflected from an interface having superimposed periodicity," J. Acoust. Soc. Am. 112, 2414 (2002).
15. A. A. Teklu and M. A. Breazeale, "Backward displacement of ultrasonic waves reflected from a corrugated interface," J. Acoust. Soc. Am. 113, 2283-2284 (2003).