AN ELASTIC WAVE DIFFRACTION ON THE LAYER WITH FRACTAL DENSITY DISTRIBUTION

Anufrieva Anastasiya Vadimovna, Student, Institute of Computer Science and Information Technology, Kazan Federal University, nastya-anufrieva@mail.ru
Igudesman Konstantin Borisovich, Candidate of physical and mathematical sciences, associate professor, sub-department of geometry, Institute of Mathematics and Mechanics, Kazan Federal University, KIgudesm@yandex.ru
Tumakov Dmitry Nikolaevich, Candidate of physical and mathematical sciences, associate professor, sub-department of applied mathematics, Institute of Computer Science and Information Technology, Kazan Federal University, dtumakov@ksu.ru

519.6, 534.26

The authors consider the diffraction of elastic wave on a layer with the fractal density. The problem is reduced to a system of ordinary differential equations with linear coefficients and its analytical decision is found. The researchers numerically investigate a layer with a fractal density, find peaks of energy of the reflected wave and illustrate dependence of reflected energy from self-similar properties of the fractal density.

diffraction, elastic wave, fractal interpolation.