Study of a cubic cavity resonator for gravitational waves detection in the microwave frequency range
arxiv(2023)
Abstract
The direct detection of gravitational waves (GWs) of frequencies above MHz
has recently received considerable attention. In this work we present a precise
study of the reach of a cubic cavity resonator to GWs in the microwave range,
using for the first time tools allowing to perform realistic simulations.
Concretely, the BI-RME 3D method, which allows us to obtain not only the
detected power but also the detected voltage (magnitude and phase), is used
here. After analyzing three cubic cavities for different frequencies and
working simultaneously with three different degenerate modes at each cavity, we
conclude that the sensitivity of the experiment is strongly dependent on the
polarization and incidence angle of the GW. The presented experiment can reach
sensitivities up to 1 · 10^-19 at 100 MHz, 2 · 10^-20 at
1 GHz, and 6 · 10^-19 at 10 GHz for optimal angles and
polarizations, and where in all cases we assumed an integration time of Δ
t = 1 ms. These results provide a strong case for further developing the use
of cavities to detect GWs. Moreover, the possibility of analyzing the detected
voltage (magnitude and phase) opens a new interferometric detection scheme
based on the combination of the detected signals from multiple cavities.
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