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Published April 2, 2013 | Published + Submitted
Journal Article Open

Brownian thermal noise in multilayer coated mirrors


We analyze the Brownian thermal noise of a multilayer dielectric coating used in high-precision optical measurements, including interferometric gravitational-wave detectors. We assume the coating material to be isotropic, and therefore study thermal noises arising from shear and bulk losses of the coating materials. We show that coating noise arises not only from layer thickness fluctuations, but also from fluctuations of the interface between the coating and substrate, driven by fluctuating shear stresses of the coating. Although thickness fluctuations of different layers are statistically independent, there exists a finite coherence between the layers and the substrate-coating interface. In addition, photoelastic coefficients of the thin layers (so far not accurately measured) further influence the thermal noise, although at a relatively low level. Taking into account uncertainties in material parameters, we show that significant uncertainties still exist in estimating coating Brownian noise.

Additional Information

© 2013 American Physical Society. Received 16 January 2013; published 2 April 2013. We would like to thank Stan Whitcomb, Raffaele Flaminio, Jan Harms, Gregg Harry, Yasushi Mino, Valery Mitrofanov, Kentaro Somiya, Sergey Vyatchanin, and other members of the LSC Optics Working Group for very useful discussions. We thank Iain Martin and Andri Gretarsson for many useful suggestions for the manuscript. This work was supported by NSF Grants No. PHY-0757058, No. PHY-1068881 and CAREER Grant No. PHY-0956189, the David and Barbara Groce Startup Fund, and the David and Barbara Research Assistantship at the California Institute of Technology. Funding has also been provided by the Institute for Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation.

Attached Files

Published - PhysRevD.87.082001.pdf

Submitted - 1207.6145v1.pdf


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