English

Accurate calculation of thermal noise in multilayer coating

General Relativity and Quantum Cosmology 2010-05-19 v1 Optics

Abstract

We derive accurate formulas for thermal fluctuations in multilayer interferometric coating taking into account light propagation inside the coating. In particular, we calculate the reflected wave phase as a function of small displacements of the boundaries between the layers using transmission line model for interferometric coating and derive formula for spectral density of reflected phase in accordance with Fluctuation-Dissipation Theorem. We apply the developed approach for calculation of the spectral density of coating Brownian noise.

Keywords

Cite

@article{arxiv.1005.3138,
  title  = {Accurate calculation of thermal noise in multilayer coating},
  author = {Alexey Gurkovsky and Sergey Vyatchanin},
  journal= {arXiv preprint arXiv:1005.3138},
  year   = {2010}
}

Comments

10 pages, 9 figures