Pump-probe measurements of the thermal conductivity tensor for materials lacking in-plane symmetry
Abstract
We previously demonstrated an extension of time-domain thermoreflectance (TDTR) which utilizes offset pump and probe laser locations to measure in-plane thermal transport properties of multilayers. However, the technique was limited to systems of transversely isotropic materials studied using axisymmetric laser intensities. Here, we extend the mathematics so that data reduction can be performed on non-transversely isotropic systems. An analytic solution of the diffusion equation for an N-layer system is given, where each layer has a homogenous but otherwise arbitrary thermal conductivity tensor and the illuminating spots have arbitrary intensity profiles. As a demonstration, we use both TDTR and time-resolved magneto-optic Kerr effect measurements to obtain thermal conductivity tensor elements of <110> α-SiO2. We show that the out-of-phase beam offset sweep has full-width half-maxima that contains nearly independent sensitivity to the in-plane thermal conductivity corresponding to the scanning direction. Also, we demonstrate a Nb-V alloy as a low thermal conductivity TDTR transducer layer that helps improve the accuracy of in-plane measurements.
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A thinner transducer with a lower thermal conductivity can minimize lateral heat flow in the transducer layer and thus enhance the measurement sensitivity to the in-plane thermal conductivity.
“A thinner transducer with a lower thermal conductivity cam minimize lateral heat flow in the transducer layer and thus enhancing the measurement sensitivity to the in-plane thermal conductivity. 34, 87”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [87]
With a much-reduced thermal conductance of the metal film, the FWHM signal in beam-offset TDTR is more sensitive to the thermal conductivity of the substrate and less sensitive to the properties of the transducer layer, yielding a smaller measurement uncertainty.
“With a much-reduced thermal conductance of the metal film ( K m h m), the FWHM signal is more sensitive to the thermal conductivity of the substrate and less sensitive to the properties of the transducer layer, thus yielding a smaller measurement uncertainty. 87”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [87]
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- Authors
- Feser, J. P., Liu, J., & Cahill, D. G.
- Affiliations
- University of Delaware (US)
- University of Illinois 2 Department of Materials Science and Engineering, and Frederick-Seitz Materials Research Laboratory, , Urbana, Illinois 61801, USA
- University of Illinois Urbana-Champaign (US)
- Venue
- Review of Scientific Instruments
- Publisher
- AIP Publishing
- Published
- 2014-10-01
- Volume
- 85
- Issue
- 10
- Pages
- 104903-104903
- ISSN
- 0034-6748 (ISSN-L)
- 1089-7623
- OpenAlex
- W2079323742
- Cited by
- 151
- References
- 17
- Citations by year
- 2026: 12 · 2025: 22 · 2024: 8 · 2023: 18 · 2022: 17 · 2021: 10 · 2020: 10 · 2019: 17 · 2018: 11 · 2017: 13 · 2016: 8 · 2015: 4 · 2014: 1
- FWCI
- 3.93
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Review of Scientific Instruments (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Army Research Office (W911NF-11-10526, W911NF-14-1-0016)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Engineering › Mechanics of Materials › Thermography and Photoacoustic Techniques
- Physical Sciences › Engineering › Mechanics of Materials › Thermoelastic and Magnetoelastic Phenomena
- Keywords
- thermal conductivity tensor, time-domain thermoreflectance, pump-probe measurement, multilayer systems, diffusion equation, magneto-optical Kerr effect, laser intensity profile
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