Analysis of heat flow in layered structures for time-domain thermoreflectance
Abstract
The iterative algorithm of Feldman for heat flow in layered structures is solved in cylindrical coordinates for surface heating and temperature measurement by Gaussian-shaped laser beams. This solution for the frequency-domain temperature response is then used to model the lock-in amplifier signals acquired in time-domain thermoreflectance measurements of thermal properties.
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Over the past two decades, TDTR has emerged and evolved as a reliable, powerful, and versatile technique to measure thermal properties of a wide range of bulk and thin film materials and their interfaces.
“Over the past two decades, ultrafast laser-based time-domain thermoreflectance (TDTR) has emerged and evolved as a reliable, powerful, and versatile technique to measure the thermal properties of a wide range of bulk and thin film materials and their interfaces.”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [22]
Using the phase signal for data reduction has the advantage over the amplitude signal that it does not require normalization.
“Using the phase signal for data reduction has the advantage over the amplitude signal as it does not require normalization. 22”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [22]
The key advance in the data analysis of TDTR experiments was made by Cahill in 2004, solving the three-dimensional heat diffusion equation through multi-layered structures with consideration of the pulse accumulation effect.
“The key advance in the data analysis of TDTR experiments was made by Cahill in 2004. 22 The three-dimensional heat diffusion equation through multi-layered structures was solved with the consideration of the so-called 'pulse accumulation' effect”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [22]
The transient thermoreflectance technique can be implemented as both the TDTR method and the frequency-domain thermoreflectance (FDTR) method.
“The transient thermoreflectance technique can be implemented as both the TDTR method 22, 24, 25 and the frequency-domain thermoreflectance (FDTR) method 93, 94 (see Section III(A) for more details of FDTR).”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [22]
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“We initially fitted the demodulated signals (ratio of the in-phase component and the out-of-phase component of the lock-in amplifier) with a stratified thermal model for extracting thermal properties [22, 24].”
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“We initially fitted the demodulated signals (ratio of the in-phase component and the out-of-phase component of the lock-in amplifier) with a stratified thermal model for extracting thermal properties [22, 24].”
- Authors
- Cahill, D. G.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Corresponding author
- Cahill, David G.
- ORCID
- Cahill, David G.
- Venue
- Review of Scientific Instruments
- Publisher
- AIP Publishing
- Published
- 2004-12-01
- Volume
- 75
- Issue
- 12
- Pages
- 5119-5122
- ISSN
- 0034-6748 (ISSN-L)
- 1089-7623
- OpenAlex
- W2009590881
- Cited by
- 1,543
- References
- 2
- Citations by year
- 2026: 99 · 2025: 128 · 2024: 104 · 2023: 88 · 2022: 101 · 2021: 103 · 2020: 122 · 2019: 110 · 2018: 104 · 2017: 97 · 2016: 89 · 2015: 80 · 2014: 68 · 2013: 54 · 2012: 54
- FWCI
- 5.20
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Review of Scientific Instruments (publishedVersion)
- 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
- time-domain thermoreflectance, cylindrical coordinates, surface heating, Gaussian beam, thermal properties measurement, heat conduction
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