Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-26T16:12:02.293Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of roughness on the elastic surface wave propagation

Published online by Cambridge University Press:  03 September 2003

A. A. Tarasenko ,
L. Jastrabìk  and
N. A. Tarasenko
A. A. Tarasenko*
Affiliation:
Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 182 21, Prague 8, Czech Republic
L. Jastrabìk
Affiliation:
Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 182 21, Prague 8, Czech Republic
N. A. Tarasenko
Affiliation:
Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 182 21, Prague 8, Czech Republic
*
[email protected]
Get access

Abstract

We have supposed a new approach for the investigations of the effect of roughness on the propagation of the elastic surface waves. The presence of the rough layer is accounted by the modification of the boundary conditions. In the framework of this approach we have investigated the propagation of Rayleigh waves on an isotropic substrate having rough surface. It is shown that the roughness leads to the linear dispersion of the phase velocity of the surface waves, which are non dispersive on the ideal surfaces. Also we have investigated the influence of a rough surface of films, deposited on the substrate. The roughness of the film surface produces contributions to the phase velocities of Love and Rayleigh modes. In all cases the contributions are proportional to the effective thickness of the rough layer. It is shown that the effect of the rough layer is equivalent to the effect of a thin film, having loading characteristic. The approach can be used for investigations of the effect of roughness on the propagation of surface waves on the rough surface of the anisotropic crystals.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 24 , Issue 1 , October 2003 , pp. 3 - 12
Copyright
© EDP Sciences, 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Lord Rayleigh, , London Math. Soc. Proc. 17, 14 (1887)
Lord Rayleigh, , Philos. Mag. 14, 70 (1907); Theory of Sound, 2nd edn. (Dover, New York, 1945), p. 89
Schneider, D., Schwarz, T., Surf. Coat. Technol. 91, 136 (1997) CrossRef
Carvalho, S., Vaz, F., Rebouta, L., et al., Surf. Coat. Technol. 142-144, 110 (2001) CrossRef
Schneider, D., Hammer, R., Jurisch, M., Semicond. Sci. Technol. 14, 93 (1999) CrossRef
G.W. Farnell, E.L. Adler, in Physical Acoustics, edited by W.P. Mason, R.N. Thurston (Academic Press, New York, 1972), Vol. IX, p. 35
Wallis, R.F., Mills, D.L., Maradudin, A.A., Phys. Rev. B 19, 3981 (1979) CrossRef
Urazakov, E.I., Fal'kovskii, L.A., Zh. Eksp. Teor. Fiz. 63, 2297 (1973) [Sov. Phys. - JETP 36, 1214 (1973)]
Maradudin, A.A., Mills, D.L., Ann. Phys. (N.Y.) 100, 262 (1976) CrossRef
Eguiluz, A.G., Maradudin, A.A., Phys. Rev. B 28, 728 (1983) CrossRef
Kosachev, V.V., Lochov, Yu.N., Chukov, V.N., Zh. Eksp. Teor. Fiz. 94, 162 (1988) [Sov. Phys. - JETP 67, 1825 (1988)]
Kosachev, V.V., Shchegrov, A.V., Ann. Phys. (N.Y.) 240, 225 (1995) CrossRef
R.F. Millar, Proc. Camb. Philos. Soc. 69, 175; 217 (1971)
Petit, R., Cadilhac, M., C.R. Acad. Sci. B 262, 468 (1966)
Hill, N.R., Celli, V., Phys. Rev. B 17, 2478 (1978) CrossRef
Mayer, A.P., Lehner, M., Waves in Random Media 14, 321 (1994) CrossRef
Shchegrov, A.V., J. Appl. Phys. 78, 1565 (1995) CrossRef
O.L. Anderson, in Physical Acoustics, edited by W.P. Mason, R.N. Thurston (Academic Press, New York, 1965), Vol. III, Part B, Chap. 2, p. 77
G.W. Farnell, in Physical Acoustics, edited by W.P. Mason, R.N. Thurston (Academic Press, New York, 1970), Vol. VI, Chap. 3, p. 35
D.A. Hugins, in Physical Acoustics, edited by W.P. Mason, R.N. Thurston (Academic Press, New York, 1985), Vol. XVIII, p. 35
B.A. Auld, in Acoustics Fields and Waves in Solids (Krieger Publishing Company, Florida, 1973), Vol. I
B.A. Auld, in Acoustics Fields and Waves in Solids (Krieger Publishing Company, Florida, 1973), Vol. II
H.F. Pollard, in Sound Waves in Solids (Applied Physics Series, London, 1977)
Neubrand, A., Hess, P., J. Appl. Phys. 71, 227 (1992) CrossRef
J.F. Nye, Physical Properties of Crystals (Oxford Univ. Press (Clarendon), London and New York, 1957)
Stoneley, R., Proc. Roy. Soc. A 232, 447 (1955) CrossRef