Topological Interface Modes in Systems with Damping
We extend the theory of topological localised interface modes to systems with damping. The spectral problem is formulated as a root-finding problem for the interface impedance function and Rouché's theorem is used to track the zeros when damping is introduced. We show that the localised eigenfrequencies, corresponding to interface modes, remain for non-zero dampings. Using the transfer matrix method, we explicitly characterise the decay rate of the interface mode.
Authors
- Bryn Davies (ORCID: https://orcid.org/0000-0001-8108-2316)
- Erik Orvehed Hiltunen (ORCID: https://orcid.org/0000-0003-2891-9396)
- Konstantinos Alexopoulos (ORCID: https://orcid.org/0009-0002-2793-9483)
Institutions
- University of Oslo (NO)
- University of Warwick (GB)
- Centre de Mathématiques Appliquées de l'École polytechnique (FR)
Publication Details
- Journal
- SIAM Journal on Applied Mathematics
- Published
- 2025-07-31
- DOI
- https://doi.org/10.1137/24m1710371
- Primary Topic
- Topological Materials and Phenomena
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Eidgenössische Technische Hochschule Zürich