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Related Experiment Video

Updated: Jan 20, 2026

Fabrication of Surface Acoustic Wave Devices on Lithium Niobate
07:55

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Published on: June 18, 2020

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Rayleigh-type waves on a coated elastic half-space with a clamped surface.

J Kaplunov1, D Prikazchikov1, L Sultanova1,2

  • 1School of Computing and Mathematics, Keele University, Keele, Staffordshire ST5 5BG, UK.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|September 3, 2019
PubMed
Summary

This study analyzes localized waves in a coated half-space, revealing unique wave behaviors not found in homogeneous materials. These findings offer new insights into wave propagation in structured media.

Keywords:
Rayleigh waveasymptoticclamped surfacecontrastthin coating

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Area of Science:

  • Solid Mechanics
  • Wave Propagation
  • Materials Science

Background:

  • Homogeneous half-spaces exhibit specific surface wave behaviors.
  • Thin soft coatings can significantly alter wave dynamics.
  • Clamped boundary conditions introduce unique constraints.

Purpose of the Study:

  • To investigate localized wave phenomena in a coated half-space.
  • To derive effective boundary conditions for thin soft coatings.
  • To analyze Rayleigh-type wave speeds and their behavior.

Main Methods:

  • Utilized a long-wave high-frequency asymptotic procedure.
  • Derived non-traditional effective boundary conditions.
  • Implemented conditions into a specialized surface wave formulation.
  • Employed numerical solutions of the full dispersion relation.

Main Results:

  • Localized waves, absent in homogeneous media, were identified.
  • Effective boundary conditions incorporated coating effects.
  • Perturbed surface motion equations revealed integral/pseudo-differential operators.
  • Asymptotic formulas for Rayleigh-type wave speeds were derived.

Conclusions:

  • The study successfully characterized localized waves in coated media.
  • Effective boundary conditions provide a simplified model for coating effects.
  • Asymptotic and numerical results show good agreement.
  • The findings contribute to understanding wave localization in structured media.