Covariant eigenmode overlap formalism for gravitational wave signals in electromagnetic cavities
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917299528663040 |
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| author | Gué, Jordan Krokotsch, Tom Moortgat-Pick, Gudrid |
| author_facet | Gué, Jordan Krokotsch, Tom Moortgat-Pick, Gudrid |
| contents | We develop a coordinate invariant formalism which describes the mechanical and electromagnetic interaction of gravitational waves (GWs) with a wide class of resonant detectors. We solve the GW-modified equations of electrodynamics and elasticity with dynamic boundary conditions using an eigenmode expansion. Furthermore, we take damping effects and electromagnetic back-action on mechanical systems covariantly into account. The resulting coupling coefficients are particularly useful for high-frequency gravitational wave experiments using microwave cavities and allow a straightforward numerical implementation for arbitrary detector geometries. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_08507 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Covariant eigenmode overlap formalism for gravitational wave signals in electromagnetic cavities Gué, Jordan Krokotsch, Tom Moortgat-Pick, Gudrid General Relativity and Quantum Cosmology High Energy Physics - Theory We develop a coordinate invariant formalism which describes the mechanical and electromagnetic interaction of gravitational waves (GWs) with a wide class of resonant detectors. We solve the GW-modified equations of electrodynamics and elasticity with dynamic boundary conditions using an eigenmode expansion. Furthermore, we take damping effects and electromagnetic back-action on mechanical systems covariantly into account. The resulting coupling coefficients are particularly useful for high-frequency gravitational wave experiments using microwave cavities and allow a straightforward numerical implementation for arbitrary detector geometries. |
| title | Covariant eigenmode overlap formalism for gravitational wave signals in electromagnetic cavities |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.08507 |