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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2509.05561 |
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| _version_ | 1866916937323249664 |
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| author | Gao, Yixian Ji, Shuguan Song, Shangling |
| author_facet | Gao, Yixian Ji, Shuguan Song, Shangling |
| contents | Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in $d$-dimensional space ($d\geq 2$), exhibit a rich spectrum of physical phenomena. This paper investigates such a model and presents the following contributions. First, we analyze the system's subwavelength quasi-frequencies under static conditions, establishing their functional dependence on the high-contrast parameter. This analysis enables the determination of the subwavelength quasi-frequency range. Second, for time-modulated structures, we derive a system of ordinary differential equations (ODEs) within the subwavelength regime. We demonstrate that this ODE system accurately captures the quasi-frequency behavior of the original elastic system. Finally, leveraging the derived ODEs and Floquet's theorem, we construct concrete examples of first-order asymptotic exceptional points (EPs) in three dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05561 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Construction of Exceptional Points in Time-Modulated High-Contrast Elastic Media Gao, Yixian Ji, Shuguan Song, Shangling Analysis of PDEs Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in $d$-dimensional space ($d\geq 2$), exhibit a rich spectrum of physical phenomena. This paper investigates such a model and presents the following contributions. First, we analyze the system's subwavelength quasi-frequencies under static conditions, establishing their functional dependence on the high-contrast parameter. This analysis enables the determination of the subwavelength quasi-frequency range. Second, for time-modulated structures, we derive a system of ordinary differential equations (ODEs) within the subwavelength regime. We demonstrate that this ODE system accurately captures the quasi-frequency behavior of the original elastic system. Finally, leveraging the derived ODEs and Floquet's theorem, we construct concrete examples of first-order asymptotic exceptional points (EPs) in three dimensions. |
| title | Construction of Exceptional Points in Time-Modulated High-Contrast Elastic Media |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.05561 |