Displacement-noise-free gravitational-wave detection with a single Fabry-Perot cavity: a toy model
arXiv:0804.3955 · doi:10.1016/j.physleta.2008.09.055
Abstract
We propose a detuned Fabry-Perot cavity, pumped through both the mirrors, as \textit{a toy model} of the gravitational-wave (GW) detector partially free from displacement noise of the test masses. It is demonstrated that the noise of cavity mirrors can be eliminated, but the one of lasers and detectors cannot. The isolation of the GW signal from displacement noise of the mirrors is achieved in a proper linear combination of the cavity output signals. The construction of such a linear combination is possible due to the difference between the reflected and transmitted output signals of detuned cavity. We demonstrate that in low-frequency region the obtained displacement-noise-free response signal is much stronger than the -limited sensitivity of displacement-noise-free interferometers recently proposed by S. Kawamura and Y. Chen. However, the loss of the resonant gain in the noise cancelation procedure results is the sensitivity limitation of our toy model by displacement noise of lasers and detectors.
16 pages, 5 figures; extended discussion of basic mechanism of noise cancelation moved to new Sec. II (with new figure), added discussion of laser noise cancelation in Sec. VI D (with new figure)
References in corpus (19)
- Conversion of conventional gravitational-wave interferometers into QND interferometers by modifying their input and/or output optics
- The basics of gravitational wave theory
- Quantum noise in second generation, signal-recycled laser interferometric gravitational-wave detectors
- Signal recycled laser-interferometer gravitational-wave detectors as optical springs
- Fermi Coordinates for Weak Gravitational Fields
- Frequency-dependent rigidity in large-scale interferometric gravitational-wave detectors
- The Response of Test Masses to Gravitational Waves in the Coordinates of a Local Observer
- Displacement-Noise-Free Gravitational-Wave Detection
- Interferometers for Displacement-Noise-Free Gravitational-Wave Detection
- The "optical lever" intracavity readout scheme for gravitational-wave antennae
- Displacement- and Timing-Noise Free Gravitational-Wave Detection
- Sub-SQL Sensitivity via Optical Rigidity in Advanced LIGO Interferometer with Optical Losses
- Demonstration of displacement- and frequency-noise free laser interferometry using bi-directional Mach-Zehnder interferometers
- Low pumping energy mode of the "optical bars''/"optical lever" topologies of gravitational-wave antennae
- To the practical design of the optical lever intracavity topology of gravitational-wave detectors
- Interaction of plane gravitational waves with a Fabry-Perot cavity in the local Lorentz frame
- Optical position meters analyzed in the non-inertial reference frames
- Stroboscopic Variation Measurement
- Quantum variational measurement and the "optical lever" intracavity topology of gravitational-wave detectors
Cited by in corpus (5)
- Development of displacement- and frequency-noise-free interferometer in 3-D configuration for gravitational wave detection
- Displacement-noise-free neutron interferometer for gravitational wave detection using a single Mach-Zehnder configuration
- Gravitational radiation and isotropic change of the spatial geometry
- Displacement-noise-free gravitational-wave detection with two Fabry-Perot cavities
- Experimental demonstration of a Displacement noise Free Interferometry scheme for gravitational wave detectors showing displacement noise reduction at low frequencies