Thermodynamical fluctuations in optical mirror coatings
V. B. Braginsky, S. P. Vyatchanin (Physics Faculty, Moscow State, University, Moscow, Russia)

TL;DR
This paper analyzes how thermodynamical temperature fluctuations in mirror coatings can cause surface fluctuations, potentially impacting the sensitivity of laser interferometric gravitational wave detectors.
Contribution
It provides a detailed analysis of coating surface fluctuations due to thermodynamical effects, highlighting their significance compared to volume effects in gravitational wave detectors.
Findings
Coating surface fluctuations can be larger than volume fluctuations due to material properties.
Thermal expansion in coatings significantly affects mirror surface stability.
Implications for gravitational wave detector sensitivity.
Abstract
Thermodynamical fluctuations of temperature in mirrors may produce surface fluctuations not only through thermal expansion in mirror body but also through thermal expansion in mirror coating. We analyze the last "surface" effect which can be larger than the first "volume" one due to larger thermal expansion coefficient of coating material and smaller effective volume. In particular, these fluctuations may be important in laser interferometric gravitational antennae.
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