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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.13678 |
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| _version_ | 1866916442978385920 |
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| author | Alexopoulos, Konstantinos Davies, Bryn Hiltunen, Erik Orvehed |
| author_facet | Alexopoulos, Konstantinos Davies, Bryn Hiltunen, Erik Orvehed |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13678 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological interface modes in systems with damping Alexopoulos, Konstantinos Davies, Bryn Hiltunen, Erik Orvehed Analysis of PDEs Mathematical Physics Optics 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. |
| title | Topological interface modes in systems with damping |
| topic | Analysis of PDEs Mathematical Physics Optics |
| url | https://arxiv.org/abs/2410.13678 |