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arXiv · 2602.08507

Covariant eigenmode overlap formalism for gravitational wave signals in electromagnetic cavities

Jordan Gué·Tom Krokotsch·Gudrid Moortgat-Pick
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Abstract

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.

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Jordan Gué, Tom Krokotsch, Gudrid Moortgat-Pick. 2026-02-09. Covariant eigenmode overlap formalism for gravitational wave signals in electromagnetic cavities. https://doi.org/10.1088/1475-7516%2F2026%2F08%2F058

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