Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Nonlinear Rays and Fronts Dynamics in Stochastically Inhomogeneous Media and in Media with Deterministic Structure

  • Anatoly V. ChigarevEmail author
  • Yury V. Chigarev
Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_107-1



The behavior of rays’ trajectories in stochastically inhomogeneous media is governed by nonlinear dynamic equations which describe the emergence of deterministic chaos in the geometry of rays and fronts for a wide variety of types of heterogeneous structures.

Preliminary Remarks

In the entry “Rays Propagation in Inhomogeneous Media”, it has been shown that the approach based on the construction of rays is effective for solving the problems of the wave kinematics by geometrical methods for inhomogeneous isotropic media, including the cases of transmission and reflection of waves at the interface of two media, through lens, etc. Below the peculiarities of rays and fronts propagation in the stochastically inhomogeneous media and media with deterministic structure will be discussed.

Rays’ Propagation in Stochastically Inhomogeneous Media

Models of randomly inhomogeneous media allow one to take into account the fact...

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Theoretical and Material MechanicsBelarusian National Technical UniversityMinskBelarus
  2. 2.Department of Theoretical Mechanics and Theory of Mechanisms and MashinesBelarusian State Agrarian Technical UniversityMinskBelarus

Section editors and affiliations

  • Marina V. Shitikova
    • 1
  1. 1.Research Center on Dynamics of Solids and Structures, Voronezh State Technical UniversityVoronezhRussia