Interaction of Plane Gravitational Waves with a Fabry-Perot Cavity in the Local Lorentz Frame

Physics

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Scientific paper

We analyze the interaction of plane gravitational waves (GWs) with a Fabry-Perot cavity in the local Lorentz frame of the cavity input mirror outside of range of long-wave approximation with the force of radiation pressure taken into account. Our approach allows study the radiation pressure-driven dynamics of the cavity for arbitrary GW frequencies. Special attention is paid to the problem of detection of high-frequency GW signals (f >10) which are predicted in string cosmology. In particular, we analyze the possibility of resonant GW detection (due to the effect of optical rigidity) in the vicinity of cavity free spectral range (37.5 kHz for 4-km LIGO) and show that in order to perform it one should increase the circulating optical power and decrease cavity half-bandwidth and the value of test masses.

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