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Title: Interaction of plane gravitational waves with a Fabry-Perot cavity in the local Lorentz frame

Abstract

We analyze the interaction of the plane '+'-polarized gravitational waves with a Fabry-Perot cavity in the local Lorentz frame of the cavity's input mirror outside of the range of long-wave approximation with the force of radiation pressure taken into account. The obtained detector's response signal is represented as a sum of two parts: (i) the phase shift due to displacement of a movable mirror under the influence of a gravitational wave and the force of light pressure, and (ii) the phase shift due to the direct interaction of a gravitational wave with light wave inside the cavity. We obtain the formula for the movable mirror's law of motion paying close attention to the phenomena of optical rigidity, radiative friction, and direct coupling of a gravitational wave to light wave. Some issues concerning the detection of high-frequency gravitational waves and the role of optical rigidity in it are discussed. We also examine in detail special cases of optical resonance and small detuning from it and compare our results with the known ones.

Authors:
 [1]
  1. Faculty of Physics, Moscow State University, Moscow, 119992 (Russian Federation)
Publication Date:
OSTI Identifier:
20935244
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.102002; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; GRAVITATIONAL WAVES; INTERACTIONS; MIRRORS; PHASE SHIFT; RADIATION PRESSURE; RESONANCE; SIGNALS; VISIBLE RADIATION

Citation Formats

Tarabrin, Sergey P. Interaction of plane gravitational waves with a Fabry-Perot cavity in the local Lorentz frame. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.102002.
Tarabrin, Sergey P. Interaction of plane gravitational waves with a Fabry-Perot cavity in the local Lorentz frame. United States. doi:10.1103/PHYSREVD.75.102002.
Tarabrin, Sergey P. Tue . "Interaction of plane gravitational waves with a Fabry-Perot cavity in the local Lorentz frame". United States. doi:10.1103/PHYSREVD.75.102002.
@article{osti_20935244,
title = {Interaction of plane gravitational waves with a Fabry-Perot cavity in the local Lorentz frame},
author = {Tarabrin, Sergey P.},
abstractNote = {We analyze the interaction of the plane '+'-polarized gravitational waves with a Fabry-Perot cavity in the local Lorentz frame of the cavity's input mirror outside of the range of long-wave approximation with the force of radiation pressure taken into account. The obtained detector's response signal is represented as a sum of two parts: (i) the phase shift due to displacement of a movable mirror under the influence of a gravitational wave and the force of light pressure, and (ii) the phase shift due to the direct interaction of a gravitational wave with light wave inside the cavity. We obtain the formula for the movable mirror's law of motion paying close attention to the phenomena of optical rigidity, radiative friction, and direct coupling of a gravitational wave to light wave. Some issues concerning the detection of high-frequency gravitational waves and the role of optical rigidity in it are discussed. We also examine in detail special cases of optical resonance and small detuning from it and compare our results with the known ones.},
doi = {10.1103/PHYSREVD.75.102002},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}