Thermal and back-action noises in dual-sphere gravitational-waves detectors

Details Thermal and back-action noises in dual-sphere gravitational-waves detectors Thermal and back-action noises in dual-sphere gravitational-waves detectors

2003-01-15

arxiv.org/abs/gr-qc/0301048v1

Phys.Rev. D67 (2003) 102005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 7 figures

Scientific paper

10.1103/PhysRevD.67.102005

We study the sensitivity limits of a broadband gravitational-waves detector based on dual resonators such as nested spheres. We determine both the thermal and back-action noises when the resonators displacements are read-out with an optomechanical sensor. We analyze the contributions of all mechanical modes, using a new method to deal with the force-displacement transfer functions in the intermediate frequency domain between the two gravitational-waves sensitive modes associated with each resonator. This method gives an accurate estimate of the mechanical response, together with an evaluation of the estimate error. We show that very high sensitivities can be reached on a wide frequency band for realistic parameters in the case of a dual-sphere detector.

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