Peculiarities of elastic wave refraction from the layer with fractal distribution of density

Abstract

In this study, we underline the peculiarities of the refraction problem of elastic waves from a layer with a fractal density distribution. The refraction problem is reduced to the system of ordinary differential equations with linear coefficients. Analytic solutions for each of its equations are found. The case for the layer with fractal density distribution is investigated numerically. Characteristic maxima of the reflected wave

On Peculiarities of Propagation of a Plane Elastic Wave through a Gradient Anisotropic Layer

“…For example, the problem of elastic wave diffraction by the layer with the fractal distribution of density was considered in [21].…”