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High-accuracy numerical models of Brownian thermal noise in thin mirror coatings

Vu, Nils L. and Rodriguez, Samuel and Włodarczyk, Tom and Lovelace, Geoffrey and Pfeiffer, Harald P. and Bonilla, Gabriel S. and Deppe, Nils and Hébert, François and Kidder, Lawrence E. and Moxon, Jordan and Throwe, William (2023) High-accuracy numerical models of Brownian thermal noise in thin mirror coatings. Classical and Quantum Gravity, 40 (2). Art. No. 025015. ISSN 0264-9381. doi:10.1088/1361-6382/acad62.

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Brownian coating thermal noise in detector test masses is limiting the sensitivity of current gravitational-wave detectors on Earth. Therefore, accurate numerical models can inform the ongoing effort to minimize Brownian coating thermal noise in current and future gravitational-wave detectors. Such numerical models typically require significant computational resources and time, and often involve closed-source commercial codes. In contrast, open-source codes give complete visibility and control of the simulated physics, enable direct assessment of the numerical accuracy, and support the reproducibility of results. In this article, we use the open-source SpECTRE numerical relativity code and adopt a novel discontinuous Galerkin numerical method to model Brownian coating thermal noise. We demonstrate that SpECTRE achieves significantly higher accuracy than a previous approach at a fraction of the computational cost. Furthermore, we numerically model Brownian coating thermal noise in multiple sub-wavelength crystalline coating layers for the first time. Our new numerical method has the potential to enable fast exploration of realistic mirror configurations, and hence to guide the search for optimal mirror geometries, beam shapes and coating materials for gravitational-wave detectors.

Item Type:Article
Related URLs:
URLURL TypeDescription
Vu, Nils L.0000-0002-5767-3949
Rodriguez, Samuel0000-0002-1879-8810
Włodarczyk, Tom0000-0003-0005-348X
Lovelace, Geoffrey0000-0002-7084-1070
Pfeiffer, Harald P.0000-0001-9288-519X
Bonilla, Gabriel S.0000-0003-4502-528X
Deppe, Nils0000-0003-4557-4115
Hébert, François0000-0001-9009-6955
Kidder, Lawrence E.0000-0001-5392-7342
Moxon, Jordan0000-0001-9891-8677
Throwe, William0000-0001-5059-4378
Additional Information:The authors thank Josh Smith for helpful discussions. Computations were performed with the SpECTRE [9] and deal.ii [16, 17] codes on the Minerva cluster at the Max Planck Institute for Gravitational Physics and on the Ocean cluster at Fullerton. The figures in this article were produced with dgpy [22], matplotlib [23, 24], TikZ [25] and ParaView [26]. This work was supported in part by the Sherman Fairchild Foundation, by NSF Grant Nos. PHY-1654359 and AST-1559694 at Cal State Fullerton, by NSF Grant Nos. PHY-2011961, PHY-2011968 and OAC-1931266 at Caltech and by NSF Grant Nos. PHY-1912081 and OAC-1931280 at Cornell.
Group:TAPIR, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20230123-451320900.17
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:118891
Deposited By: Research Services Depository
Deposited On:16 Feb 2023 17:02
Last Modified:16 Feb 2023 17:02

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