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Electromagnetic field in a cavity induced by gravitational waves

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arxiv 2312.09550 v2 pith:556Y5FR2 submitted 2023-12-15 gr-qc astro-ph.IMhep-exhep-ph

classification gr-qcastro-ph.IMhep-exhep-ph
keywords fieldcavitieselectromagneticequationsgravitationalinducedliteraturematerial
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The detection method of gravitational waves (GW) using electromagnetic (EM) cavities has garnered significant attention in recent years. This paper thoroughly examines the analysis for the perturbation of the EM field and raises some issues in the existing literature. Our work demonstrates that the rigidity condition imposed on the material, as provided in the literature, is inappropriate due to its reliance on a gauge-dependent quantity that cannot be controlled experimentally. Instead, we incorporate elasticity into the material and revise the governing equations for the electric field induced by GWs, expressing them solely in terms of gauge-invariant quantities. Applying these equations to cylindrical cavities, we present the GW antenna patterns for the detector.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cavity Multimodes as an Array for High-Frequency Gravitational Waves

    hep-ph 2026-01 conditional novelty 6.0 of 10

    A 9-cell microwave cavity's 18 modes can act as a synthetic detector array that reconstructs the direction, polarization, and chirp of a high-frequency gravitational-wave signal.

  2. Gravitational Photon Polarization Twist to Probe the Early Universe and the Galactic Center

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A long-baseline laser pulse whose polarization is twisted by gravitational waves could detect galactic-center pulsar and early-universe gravitational wave backgrounds.

  3. High-Frequency Gravitational Waves on BREAD

    hep-ph 2025-05 conditional novelty 6.0 of 10

    BREAD with single photon detectors could detect high-frequency gravitational waves at 0.05 to 200 THz, with projected strains as low as 1e-25 at 200 THz.

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