SCATTERING COEFFICIENT FOR S WAVE INCIDENT IN A RANDOM MEDIUM CHARACTERIZED BY EXPONENTIAL CORRELATION FUNCTION

Abstract

Analytical expressions for scattering coefficients for S-wave incidence have been derived for the medium defined by the exponential correlation function. Low- and high-frequency asymptotic characteristics of the total scattering coefficients have also been investigated. The scattered en- ergy of the converted waves reaches a maximum value in the high-frequency range for the case of an exponential correlation function. The meridional component of the scattered energy for common-mode scattering has a second-power frequency dependence for the high-frequency range, while the latitude component of the scattered energy for common-mode scattering has a fourth-power frequency dependence for the high-frequency range. A comparison of the scattering coefficient for P- and S-wave incidence is also discussed. Mode-conversion for P-wave incidence is greater than that for S-wave incidence. On the other hand, for the common-mode case the scattered energy for S-wave incidence is greater than that for P-wave incidence.