Noise in gravitational wave detector suspension systems: A universal model

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In a recent review of gravitational wave detectors, Ricci and Drillet discussed models for noise in the various suspension systems and concluded that "... there is probably no universal model...." Here we present such a model which is based on work carried out by Ford, Lewis, and the present author [Phys. Rev. A 37, 4419 (1988)]; the latter work presents a very general dissipative model (which has been applied already to many areas of physics) with the additional merit of being based on a microscopic Hamiltonian. In particular, we show that all existing models fall within this framework. Also, our model demonstrates (a) the advantages of using the Fourier transform of the memory function to parametrize the data from interferometric detectors such as the Laser Interferometric Gravitational Wave Observatory (rather than the presently-used Zener function) and (b) the fact that a normal-mode analysis is generally not adequate, consistent with a conclusion reached by Levin [Phys. Rev. D 57, 659 (1998)]. ©2001 The American Physical Society.

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Physical Review D

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