Published March 25, 2024 | Published
Journal Article Open

Global optimization of multilayer dielectric coatings for precision measurements

  • 1. ROR icon California Institute of Technology

Abstract

We describe the design of optimized multilayer dielectric coatings for precision laser interferometry. By setting up an appropriate cost function and then using a global optimizer to find a minimum in the parameter space, we were able to realize coating designs that meet the design requirements for spectral reflectivity, thermal noise, absorption, and tolerances to coating fabrication errors. We also present application of a Markov-Chain Monte Carlo (MCMC) based parameter estimation algorithm that can infer thicknesses of dielectric layers in a coating, given a measurement of the spectral reflectivity. This technique can be a powerful diagnostic tool for both commercial coating manufacturers, and the community using dielectric mirrors for precision metrology experiments.

Copyright and License

© 2024 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement

Acknowledgement

We are grateful for valuable discussions with the Optics Working Group of the LIGO Scientific Collaboration. We thank Ramin Lalezari for valuable insights into mirror coating deposition constraints.

Funding

Gordon and Betty Moore FoundationBarish-Weiss Postdoctoral FellowshipNational Science Foundation (PHY-1912677).

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Created:
February 27, 2025
Modified:
February 27, 2025