Localization and mode conversion for elastic waves in randomly layered media. I

DOI10.1016/0165-2125(95)00035-6zbMath0943.74518OpenAlexW2008254969WikidataQ127089192 ScholiaQ127089192MaRDI QIDQ1269341

George S. Papanicolaou, Benjamin S. White, Werner E. Kohler

Publication date: 29 August 2000

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(95)00035-6

zbMATH Keywords

probability densitylow frequency limitlimit theorem for stochastic differential equations with small parametermultimode problemplane-stratified mediareflected energy

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items

Analytical study of the propagation of acoustic waves in a 1D weakly disordered lattice, An asymptotic limit law with a singularly perturbed drift and a random noise, Parabolic and white-noise approximations for elastic waves in random media, Wave propagation in a one-dimensional randomly perturbed periodic medium, Localisation of elastic waves in two-dimensional randomly disordered solid phononic crystals

Cites Work

• Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications
• Frequency Content of Randomly Scattered Signals
• A limit theorem for stochastic two-point boundary-value problems of ordinary differential equations
• Probing a Random Medium with a Pulse
• Asymptotic theory of mixing stochastic ordinary differential equations
• On Stochastic Processes Defined by Differential Equations with a Small Parameter
• The geometry of coupled mode propagation in one‐dimensional random media