TL;DR
This paper analyzes wave propagation in a discrete periodic lattice with defects, deriving dispersion equations for various wave types and providing detailed analysis of a three-mass example.
Contribution
It introduces dispersion equations for waves in defective lattices and offers a detailed case study of a three-mass lattice, advancing understanding of defect effects.
Findings
Derived dispersion equations for propagative, guided, and localised waves.
Provided detailed analysis of a three-mass lattice example.
Enhanced understanding of wave behavior in defective periodic structures.
Abstract
The discrete periodic lattice of masses and springs with line and point defects is considered. The dispersion equations for propagative, guided and localised waves are obtained. The detailed analysis of example with three masses is provided.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuasicrystal Structures and Properties