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General Relativity and Quantum Cosmology, gr-qc
Abstract:
By mapping the signal-recycling (SR) optical configuration to a three-mirror
cavity, and then to a single detuned cavity, we express SR optomechanical
dynamics, input--output relation and noise spectral density in terms of only
three characteristic parameters: the (free) optical resonant frequency and
decay time of the entire interferometer, and the laser power circulating in arm
cavities. These parameters, and therefore the properties of the interferometer,
are invariant under an appropriate scaling of SR-mirror reflectivity, SR
detuning, arm-cavity storage time and input power at beamsplitter. Moreover, so
far the quantum-mechanical description of laser-interferometer
gravitational-wave detectors, including radiation-pressure effects, was only
obtained at linear order in the transmissivity of arm-cavity internal mirrors.
We relax this assumption and discuss how the noise spectral densities change.
