Covariant eigenmode overlap formalism for gravitational wave signals in electromagnetic cavities
Abstract
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.
Fields of Study & Subjects
Pulsars and Gravitational Waves Research
Mechanical and Optical Resonators
Geophysics and Sensor Technology
Publication details
- Journal / source
- Journal of Cosmology and Astroparticle Physics
- Volume
- 2026
- Issue
- 08
- Pages
- 058–058
- Publication date
- 1 August 2026
- Language
- EN