Interaction of plane gravitational waves with a FabryPerot cavity in the local Lorentz frame
Abstract
We analyze the interaction of the plane '+'polarized gravitational waves with a FabryPerot cavity in the local Lorentz frame of the cavity's input mirror outside of the range of longwave 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 highfrequency 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:
 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 FabryPerot 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 FabryPerot 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 FabryPerot 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 FabryPerot cavity in the local Lorentz frame},
author = {Tarabrin, Sergey P.},
abstractNote = {We analyze the interaction of the plane '+'polarized gravitational waves with a FabryPerot cavity in the local Lorentz frame of the cavity's input mirror outside of the range of longwave 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 highfrequency 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}
}

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