journal article·2025-10-13Open access

Comparative Analysis of Thermal Models for Test Masses in Next-Generation Gravitational Wave Interferometers

Vincenzo Pierro, Vincenzo Fiumara, Guerino Avallone, Giovanni Carapella, Francesco Chiadini, Roberta De Simone, Rosalba Fittipaldi, Gerardo Iannone, Alessandro Magalotti, Enrico Silva, Veronica Granata

Applied Sciences· Volume 15· Issue 20

Abstract

Accurate thermal modeling of Terminal Test Masses (TTMs) is crucial for optimizing the sensitivity of gravitational wave interferometers like Virgo. In fact, in such gravitational wave detectors even minimal laser power absorption can induce performance-limiting thermal effects. This paper presents a detailed investigation into the steady-state thermal behavior of TTMs. In particular, future scenarios of increased intracavity laser beam power and optical coating absorption are considered. We develop and compare two numerical models: a comprehensive model incorporating volumetric heat absorption in both the multilayer coating and the bulk substrate, and a simplified reduced model where the coating’s thermal impact is represented as an effective surface boundary condition on the substrate. Our simulations were focused on a ternary coating design, which is a candidate for use in next-generation detectors. Results reveal that higher coating absorption localizes peak temperatures near the coating–vacuum interface. Importantly, the comparative analysis demonstrates that temperature predictions from the reduced model differ from the detailed model by only milli-Kelvins, a discrepancy often within the experimental uncertainties of the system’s thermo-physical parameters. This finding suggests that computationally efficient reduced models can provide sufficiently accurate results for thermal management and first-order distortion analyses. Moreover, the critical role of accurately characterizing the total power absorbed by the coating is emphasized.
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Research context

OpenAlex topics: Pulsars and Gravitational Waves Research · Geophysics and Gravity Measurements · Geophysics and Sensor Technology

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Affiliations

Dipartimento di Ingegneria (DING), Università del Sannio, 82100 Benevento, Italy

INFN Sez. Napoli, Gruppo Collegato di Salerno, 80126 Napoli, Italy

Dipartimento di Ingegneria, Università della Basilicata, 85100 Potenza, Italy

Dipartimento di Fisica “E.R. Caianiello”, Università di Salerno, 84084 Fisciano, Italy

Dipartimento di Ingegneria Industriale (DIIN), Università di Salerno, 84084 Fisciano, Italy

Istituto Spin-CNR, 84084 Fisciano, Italy

Dipartimento di Ingegneria Industriale, Elettronica e Meccanica (DIIEM), Università di Roma Tre, 00146 Roma, Italy

INFN Sez. Roma Tre, 00146 Roma, Italy

Funding

Istituto Nazionale di Fisica Nucleare

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