Loading [MathJax]/extensions/MathMenu.js
The radiation mode theory in ultrasonics | IEEE Journals & Magazine | IEEE Xplore

The radiation mode theory in ultrasonics


Abstract:

This paper describes the history and the state of the art in radiation mode theory (RMT) in ultrasonics. The RMT originates from electromagnetism in which it has proved t...Show More

Abstract:

This paper describes the history and the state of the art in radiation mode theory (RMT) in ultrasonics. The RMT originates from electromagnetism in which it has proved to be very efficient in the field of wave guides and discontinuities. In ultrasonics, the RMT made its entrance only a decade ago and has already proved to be very efficient in describing the interaction of sound with discontinuities such as a step on a plate, a liquid wedge, the extremity of a plate and much more. It is likely that the development of the RMT for two-dimensional (2-D) isotropic media has come almost to an end. This paper lists the results obtained so far. Further extensions to more complicated media are to be expected in the coming decade.
Page(s): 802 - 808
Date of Publication: 31 May 2005

ISSN Information:

PubMed ID: 16048180
References is not available for this document.

I. Introduction

The General Rule in acoustics is to describe sound in the same symmetrical system as the scatterer or as the sound source. For example sound emitted by a cylinder is described in cylindrical coordinates, and sound emitted by a sphere is described in spherical coordinates.

Select All
1.
Α. Κ. Gautesen, "Scattering of a Rayleigh wave by an elastic quarter space", J. Appl. Mech., vol. 52, pp. 664-668, 1985.
2.
K. Gipson, "Backscattering enhancements due to retroreflection of ultrasonic leaky Rayleigh waves at corners of solid elastic cubes in water", J. Acoust. Soc. Amer., vol. 105, no. 1, pp. 700-710, 1999.
3.
H. L. Bertoni and T. Tamir, "Unified theory of Rayleigh-angle phenomena for acoustic beams at liquid-solid interfaces", Appl. Phys., vol. 2, pp. 157-172, 1973.
4.
P. L. Marston, "Leaky waves on weakly-curved scatterers: II. Convolution formulation for two-dimensional high-frequency scattering", J. Acoust. Soc. Amer., vol. 97, no. 1, pp. 34-41, 1995.
5.
H. L. Bertoni, "Ray-Optical Evaluation of V(z) in the Reflection Acoustic Microscope", IEEE Trans. Sonics Ultrason., vol. SU-31, pp. 105-116, 1984.
6.
N. F. Declercq, R. Briers, J. Degrieck and O. Leroy, "The history and properties of ultrasonic inhomogeneous waves", IEEE Trans. Ultrason. Ferroelect. Freq. Contr., vol. 52, no. 5, pp. 776-791, 2005.
7.
V. V. Shevchenko, Continuous Transitions in Open Waveguides, CO, Boulder:The Golem Press, 1971.
8.
D. Marcuse, Light Transmission Optics Bell Laboratories Series, New York:Van Nostrand Reinhold, 1972.
9.
O. Leroy and G. Ν. Shkerdin, "The mode method in the theory of acoustic wave diffraction on division boundaries between different structures" in Physical Acoustics, New York:Plenum Press, 1991.
10.
R. Briers, O. Leroy, G. Ν. Shkerdin and V. Gulyaev, "Mode theory as a framework for the investigation of the generation of a Stoneley wave at a liquid-solid interface", J. Acoust. Soc. Amer., vol. 95, no. 4, pp. 1953-1966, 1994.
11.
R. Briers, O. Leroy and G. N. Shkerdin, "A fundamental study of the excitation of a Stoneley wave at a liquid-solid interface: Rayleigh angle and Gaussian beam incidence", J. Acoust. Soc. Amer., vol. 95, no. 4, pp. 1967-1976, 1994.
12.
R. Briers, O. Leroy and G. N. Shkerdin, "Conversion of a Stoneley wave at the extremity of a fluid loaded plate", J. Acoust. Soc. Amer., vol. 101, no. 3, pp. 1347-1357, 1997.
13.
R. Briers, O. Leroy and G. Shkerdin, "Stoneley wave excitation by a bounded beam at the down-step of a thin layer on a substrate", J. Acoust. Soc. Amer., vol. 102, no. 4, pp. 2108-2112, 1997.
14.
R. Briers, O. Leroy and G. Shkerdin, "A liquid wedge as a generating technique for Lamb and Rayleigh waves", J. Acoust. Soc. Amer., vol. 102, no. 4, pp. 2117-2124, 1997.
15.
R. Briers, O. Leroy and G. Shkerdin, "The interaction of bulk and surface waves with thin layers and inclusions modeled by a mode theory", Proc. 4th Internat. Conf. Slovenian Soc. Nondestr. Testing, pp. 51-57, 1997-Apr.-24-25.
16.
R. Briers, O. Leroy and G. Shkerdin, "Bounded beam interaction with thin inclusions. Characterization by phase differences at Rayleigh angle incidence", J. Acoust. Soc. Amer., vol. 108, no. 4, pp. 1622-1630, 2000.
17.
J. Vandeputte, O. Leroy, R. Briers and G. Shkerdin, "Extension of the mode method for viscoelastic media and focused ultrasonic beams", J. Acoust. Soc. Amer., vol. 108, no. 4, pp. 1614-1621, 2000.
18.
J. Vandeputte, G. N. Shkerdin and O. Leroy, "Radiation mode model for multilayered structures" in Mechanical Waves for Composite Structures. Dordrecht, The Netherlands:Kluwer Academic Publishers, pp. 141-149, 2000.
19.
J. Vandeputte, O. Leroy and G. Shkerdin, "Influence of planar cracks in plates on reflected and transmitted fields of Gaussian acoustic beams", J. Acoust. Soc. Amer., vol. 114, no. 2, pp. 634-643, 2003.
20.
P. L. Marston, "Spatial approximation of leaky wave surface amplitudes for three-dimensional high-frequency scattering: Fresnel patches and application to edge-excited and regular helical waves on cylinders", J. Acoust. Soc. Amer., vol. 102, no. 3, pp. 1628-1638, 1997.
21.
J. G. Scholte, "The range of existence of Rayleigh and Stoneley waves", Mon. Not. R. Astron. Soc., no. 5, pp. 120-126, 1947.
22.
P. J. Torvik, "Reflection of wave trains in semi-infinite plates", J. Acoust. Soc. Amer., vol. 41, pp. 346-353, 1967.
23.
S. F. Morse and P. L. Marston, "Meridional ray backscattering enhancements for empty truncated tilted cylindrical shells: Measurements ray model and effects of a mode threshold", J. Acoust. Soc. Amer., vol. 112, pp. 1318-1326, 2002.
24.
A. Tinel and J. Duclos, "Diffraction and conversion of the Scholte-Stoneley wave at the extremity of a solid", J. Acoust. Soc. Amer., vol. 95, no. 1, pp. 13-20, 1994.
25.
T. J. Matula and P. L. Marston, "Energy branching of a subsonic flexural wave on a plate at an air-water interface. I: Observation of the wave field near the interface and near the plate", J. Acoust. Soc. Amer., vol. 97, pp. 1389-1398, 1995.

References

References is not available for this document.