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Broadband measurement of coating thermal noise in rigid Fabry–Pérot cavities

Chalermsongsak, Tara and Seifert, Frank and Hall, Evan D. and Arai, Koji and Gustafson, Eric K. and Adhikari, Rana X. (2015) Broadband measurement of coating thermal noise in rigid Fabry–Pérot cavities. Metrologia, 52 (1). pp. 17-30. ISSN 0026-1394. https://resolver.caltech.edu/CaltechAUTHORS:20150217-095927820

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Abstract

We report on the relative length fluctuation of two fixed-spacer Fabry–Pérot cavities with mirrors fabricated from silica/tantala dielectric coatings on fused silica substrates. By locking a laser to each cavity and reading out the beat note v = v_1− v_2 of the transmitted beams, we find that, for frequencies from 10 Hz to 1 kHz, the power spectral density of beat note fluctuation is S_v(f)=(0.5Hz)^2/f. By careful budgeting of noise sources contributing to the beat note, we find that our measurement is consistent with the fluctuation in this band being dominated by the Brownian noise of the mirror coatings. Fitting for the coating loss angle ⌽_c, we find it equal to 4 × 10^(−4). We then use a Bayesian analysis to combine our measurement with previous observations, and thereby extract estimates for the individual loss angles of the silica and tantala constituents of these coatings. With minor upgrades, the testbed described in this article can be used in the future to measure the length noise of cavities formed with novel mirror coating materials and geometries.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/0026-1394/52/1/17DOIArticle
http://iopscience.iop.org/0026-1394/52/1/17/articlePublisherArticle
http://arxiv.org/abs/1406.4467arXivDiscussion Paper
ORCID:
AuthorORCID
Adhikari, Rana X.0000-0002-5731-5076
Additional Information:© 2015 BIPM & IOP Publishing Ltd. Received 8 August 2014, revised 30 October 2014. Accepted for publication 4 November 2014. Published 9 December 2014. The authors wish to thank R Abbott, D Sigg, D Yeaton-Massey, L Price, P King, M Abernathy, M Daily, R Cervantes, S Terry, and N Smith-Lefebvre for useful discussions and technical help. We thank Borja Sorazu for careful reading of the manuscript. LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the National Science Foundation and operates under cooperative agreement PHY-0757058. This paper has LIGO Document Number LIGO-P1400072.
Funders:
Funding AgencyGrant Number
NSFPHY-0757058
Subject Keywords:optical resonators, frequency metrology, thermal noise
Other Numbering System:
Other Numbering System NameOther Numbering System ID
LIGO Document NumberP1400072
Issue or Number:1
Record Number:CaltechAUTHORS:20150217-095927820
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150217-095927820
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54864
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:17 Feb 2015 19:08
Last Modified:03 Oct 2019 08:01

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