Thermoelastic dissipation in inhomogeneous media: loss measurements and displacement noise in coated test masses for interferometric gravitational wave detectors

Fejer, M.M., Rowan, S., Cagnoli, G., Crooks, D.R.M., Gretarsson, A., Harry, G.M., Hough, J., Penn, S.D., Sneddon, P.H. and Vyatchanin, S.P. (2004) Thermoelastic dissipation in inhomogeneous media: loss measurements and displacement noise in coated test masses for interferometric gravitational wave detectors. Physical Review D, 70(8), 082003. (doi:10.1103/PhysRevD.70.082003)

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Publisher's URL: http://dx.doi.org/10.1103/PhysRevD.70.082003

Abstract

The displacement noise in the test-mass mirrors of interferometric gravitational wave detectors is proportional to their elastic dissipation at the observation frequencies. In this paper, we analyze one fundamental source of dissipation in thin coatings, thermoelastic damping associated with the dissimilar thermal and elastic properties of the film and the substrate. We obtain expressions for the thermoelastic dissipation factor necessary to interpret resonant loss measurements, and for the spectral density of displacement noise imposed on a Gaussian beam reflected from the face of a coated mass. The predicted size of these effects is large enough to affect the interpretation of loss measurements, and to influence design choices in advanced gravitational wave detectors.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Cagnoli, Dr Gianpietro and Rowan, Professor Sheila and Hough, Professor James and Sneddon, Dr Peter
Authors: Fejer, M.M., Rowan, S., Cagnoli, G., Crooks, D.R.M., Gretarsson, A., Harry, G.M., Hough, J., Penn, S.D., Sneddon, P.H., and Vyatchanin, S.P.
Subjects:Q Science > QC Physics
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review D
Publisher:American Physical Society
ISSN:1550-7998
ISSN (Online):1089-4918

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