# Diffraction of Scalar-Impulsive(SH) Waves by a Spherical Cavity Embedded in an Inhomogeneous Medium

## Abstract

The solution of displacement field to the problem of diffraction of SH waves generated by an impulsive point source due to a spherical cavity in a non-homogeneous elastic medium, has been obtained in integral forms. The integrals are evaluated asymptotically to obtain short time estimate of the motion near the wave front for large frequency. The displacement of impulsive waves are shown graphically for different values of inhomogeneity factor ‘\(q(0<q<1)\)’ with respect to observational point. It is observed that the displacement of diffracted SH-waves decreases as the arrival time increases for some fixed values of inhomogeneity of the medium. Also for fixed arrival time the displacement decreases as the inhomogeneity increases.

## Keywords

Diffraction SH-impulsive waves Spherical cavity Inhomogeneity## References

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