Gravity-induced dispersion in a chiral waveguide: transient regimes and imperfect temporal interfaces

Author:

Jones I. S.1,Movchan N. V.1ORCID,Movchan A. B.1ORCID

Affiliation:

1. Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UK

Abstract

The paper includes analysis of an elastic chiral waveguide, subjected to gravity, where a coupling between different displacement components is assumed owing to gyroscopic action. The importance of gravity and chirality on the dispersion of waves is demonstrated and behaviour in all regimes, including asymptotic ones, is addressed and linked to the value of the chirality parameter. In the transient regimes, we analyse chiral imperfect temporal interfaces in the waveguide subjected to gravity.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference20 articles.

1. OUP accepted manuscript

2. Wave polarization and dynamic degeneracy in a chiral elastic lattice

3. Wave Characterisation in a Dynamic Elastic Lattice: Lattice Flux and Circulation

4. Gray A. 1918 A treatise on gyrostatics and rotational motion. London, UK: McMillan and Co, Ltd.

5. Lorentz HA. 1895 Versuch einer theorie der electrischen und optischen erscheinungen in bewegten Körpern. Leiden, Germany: Leiden - E J Brill.

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