2001/05/31 by N. Nakagawa, A. M. Gretarsson, Andri M. Gretarsson +2 · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Computer science #Geometry #Geophysics and Sensor Technology #Materials science #Mathematics #Noise (video) #Optics #Physics #Pulsars and Gravitational Waves Research #Seismic Waves and Analysis #Slab #Thermal #Thermodynamics #gr-qc
paper · pdf · doi:10.1103/physrevd.65.102001
published as Phys.Rev.D65:102001,2002 · Passed LSC (internal) review. Submitted to Phys. Rev. D. (5/2001) Replacement: Minor typo in Eq. 17 corrected
arxiv created 2001/06/21 · openalex publication_date 2002/04/26 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the thermal noise in half-infinite mirrors containing a layer of arbitrary thickness and depth made of excessively lossy material but with the same elastic material properties as the substrate. For the special case of a thin lossy layer on the surface of the mirror, the excess noise scales as the ratio of the coating loss to the substrate loss and as the ratio of the coating thickness to the laser beam spot size. Assuming a silica substrate with a loss function of 3\ifmmode×\else\texttimes\fi10^\ensuremath-8, the coating loss must be less than 3\ifmmode×\else\texttimes\fi10^\ensuremath-5 for a 6 cm spot size and a 7 \ensuremathμm thick coating to avoid increasing the spectral density of displacement noise by more than 10%. A similar number is obtained for sapphire test masses.