The problem of the propagation of a Love wave in a corrugated isotropic layer over a homogeneous isotropic half-space has been investigated. The dispersion relation of Love wave propagation in a corrugated layer medium bounded by irregular boundaries is derived. In special cases, the dispersion relation is reduced for the corrugated layers bounded by periodic boundary surfaces, d cos px, d1 cos px and d2 cos px. The dispersion relation is found to be a function of the amplitudes of the corrugation, frequency and position parameters of the corrugated boundary surfaces. The results of Ewing et al. and results similar to Noyer are recovered from our analysis. The phase velocity and group velocity of Love waves are computed numerically and the results are depicted graphically.
Abubakar, I., 1962, ‘‘Scattering of plane elastic waves at rough surfaces,’’Proceedings of the Cambridge Philosophical Society58, 136-157.
2.
Achenbach, J.D., 1976, Wave Propagation in Elastic Solids, North-Holland, New York.
3.
Banerjee, S. and Kundu, T., 2006, ‘‘Elastic wave propagation in sinusoidally corrugated waveguides,’’ Journal of the Acoustic Society of America119(4), 2006-2017.
4.
Ben-Hador, R. and Buchen, P., 1999, ‘‘Love and Rayleigh waves in non-uniform media ,’’ Geophysical Journal International137(2), 521-534.
5.
Bostrom, A., 1982, ‘‘Surface waves on the periodic boundary of an elastic half-space,’’ Applied Science Research39, 129-142.
6.
Bostrom, A., 1989, ‘‘Propagating, damped and leaky surface waves on the corrugated traction-free boundary of an elastic half-space, ’’ Journal of the Acoustic Society of America85, 1549-1555.
7.
Chattopadhyay, A. and De, R.K., 1983, ‘‘Love type waves in a porous layer with irregular interface,’’ International Journal of Engineering Science21(11), 1295-1303.
8.
Dey, S. and Mukherjee, S.P., 1983, ‘‘Love waves in dry sandy layer over an elastic half-space under initial shear stress,’’ Bulletin of the Seismological Society of America21(2), 139-147.
9.
Dey, S., Gupta, S., and Gupta, A.K., 2004, ‘‘Propagation of love waves in an elastic layer with void pores,’’ Sadhana29(4), 355-366.
10.
Drake, L.A., 1980, ‘‘Love and Rayleigh waves in an irregular soil layer,’’ Bulletin of the Seismological Society of America70(2), 571-582.
11.
Ewing, W.M., Jardetzky, W.S., and Press, F., 1957, Elastic Waves in Layer Media, McGraw-Hill , New York.
12.
Glass, N.E. and Maradudin, A.A., 1983, ‘‘Leaky surface-elastic waves on both flat and strongly corrugated surfaces for isotropic, nondissipative media,’’Journal of Applied Physics54, 796-805.
13.
Kielczynski, P., 1997, ‘‘Attenuation of love waves in low-loss media ,’’ Journal of Applied Physics82(12), 5932-5937.
14.
Kim, J.O., 1992, ‘‘The effect of a viscous fluidon love waves in a layered medium,’’ Journal of the Acoustic Society of America91(6), 3099-3103.
15.
Khurana, P. and Vashisth, A.K., 2001, ‘‘Love wave propagation in a pre-stressed medium,’’ Indian Journal of Pure and Applied Mathematics32(8), 1201-1207.
16.
Kuo, J.T. and Nafe, J.E., 1962, ‘‘Periodic equation for Rayleigh waves in a layer overlying a half-space with a sinusoidal interface, ’’ Bulletin of the Seismological Society of America52(4), 807-822.
17.
Lerche, I., 1986, ‘‘On the mode-splitting of Love waves in a rough layer,’’ Journal of the Acoustic Society of America79(6), 1722-1733.
18.
Noyer, J.D., 1961, ‘‘The effect of variations in layer thickness on Love waves,’’ Bulletin of the Seismological Society of America51(2), 227-235.
19.
Pradhan, A., Samal, S.K., and Mahanti, N.C., 2003, ‘‘Influence of anisotropy on the Love waves in a self-reinforced medium,’’ Tamkang Journal of Science and Engineering6(3), 173-178.
20.
Singh, S.S. and Tomar, S.K., 2007, ‘‘Shear waves at a corrugated interface between two dissimilar fibre-reinforced elastic half-spaces,’’ Journal of Mechanics of Materials and Structures2(1), 167-188.
21.
Sengupta, P.R. and Nath, S., 2001, ‘‘Surface waves in fibre-reinforced anisotropic elastic media,’’ Sadhana26(4), 363-370.
22.
Seshadri, S.R., 1978, ‘‘Love wave interaction in a thin film with a periodic surface corrugation,’’ IEEE Transactions on Sonics and Ultrasonics25(6), 378-383.
23.
Sharma, M.D. and Gogna, M.L., 1991, ‘‘Propagation of Love waves in an initially stressed medium consisting of a slow elastic layer lying over a liquid-saturated porous solid half-space,’’ Journal of the Acoustic Society of America89(6), 2584-2588.
24.
Upadhyay, S.K., 1970, ‘‘Love wave propagation in multilayered anisotropic inhomogeneous media,’’ Pure and Applied Geophysics81(1), 51-63.
25.
Wang, Y.S. and Zhang, Z.M., 1998, ‘‘Propagation of love waves in a transversely isotropic fluid-saturated porous layered half-space,’’ Journal of the Acoustic Society of America103(2), 695-701.
26.
Waterman, P.C., 1975, ‘‘Scattering by periodic surfaces, ’’ Journal of the Acoustic Society of America57, 791-802.
27.
Wolf, B., 1967, ‘‘Propagation of Love waves in surface layers of varying thickness,’’ Journal of Pure and Applied Geophysics67(1), 76-82.
28.
Yoshida, M., 2000, ‘‘Fluctuation of group velocity of Love waves across a dent in the continental crust,’’ Earth, Planets and Space52, 393-402.
