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Sensing depths in frequency domain thermoreflectance

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/5.0088594· OSTI ID:1877117

In this work, a method is developed to calculate the length into a sample to which a Frequency Domain Thermoreflectance (FDTR) measurement is sensitive. Sensing depth and sensing radius are defined as limiting cases for the spherically spreading FDTR measurement. A finite element model for FDTR measurements is developed in COMSOL multiphysics and used to calculate sensing depth and sensing radius for silicon and silicon dioxide samples for a variety of frequencies and laser spot sizes. The model is compared to experimental FDTR measurements. Design recommendations for sample thickness are made for experiments where semi-infinite sample depth is desirable. For measurements using a metal transducer layer, the recommended sample thickness is three thermal penetration depths, as calculated from the lowest measurement frequency.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States). Center for Integrated Nanotechnologies (CINT)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
NA0003525
OSTI ID:
1877117
Alternate ID(s):
OSTI ID: 1873422
OSTI ID: 1877118
Report Number(s):
SAND2022-8139J; 707364
Journal Information:
Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 24 Vol. 131; ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (31)

Lead telluride as a thermoelectric material for thermoelectric power generation journal September 2002
Managing heat for electronics journal June 2005
Emerging challenges and materials for thermal management of electronics journal May 2014
[INVITED] Laser-induced forward transfer: A high resolution additive manufacturing technology journal April 2016
A microbridge heater for low power gas sensing based on the 3-Omega technique journal September 2015
Multiscale Thermal Property Measurements for Biomedical Applications journal January 2017
Thermal conductivity measurement from 30 to 750 K: the 3ω method journal February 1990
Data reduction in 3ω method for thin-film thermal conductivity determination journal April 2001
Numerical simulation of the 3ω method for measuring the thermal conductivity journal April 2002
Analysis of heat flow in layered structures for time-domain thermoreflectance journal December 2004
A frequency-domain thermoreflectance method for the characterization of thermal properties journal September 2009
Thermal wave imaging with phase sensitive modulated thermography journal April 1992
Improved 3-omega measurement of thermal conductivity in liquid, gases, and powders using a metal-coated optical fiber journal June 2011
Probing anisotropic heat transport using time-domain thermoreflectance with offset laser spots journal October 2012
Simultaneous measurement of thermal conductivity and heat capacity of bulk and thin film materials using frequency-dependent transient thermoreflectance method journal March 2013
Thermal property microscopy with frequency domain thermoreflectance journal October 2013
Pump-probe measurements of the thermal conductivity tensor for materials lacking in-plane symmetry journal October 2014
Reusable bi-directional 3 ω sensor to measure thermal conductivity of 100- μ m thick biological tissues journal January 2015
Modeling optical absorption for thermoreflectance measurements journal March 2016
Upper limit to the thermal penetration depth during modulated heating of multilayer thin films with pulsed and continuous wave lasers: A numerical study journal May 2017
A technique to measure the thermal resistance at the interface between a micron size particle and its matrix in composite materials journal September 2018
A steady-state thermoreflectance method to measure thermal conductivity journal February 2019
A multi-frequency 3ω method for tracking moving phase boundaries journal September 2019
Spatially resolved thermoreflectance techniques for thermal conductivity measurements from the nanoscale to the mesoscale journal October 2019
Wide bandwidth frequency-domain thermoreflectance: Volumetric heat capacity, anisotropic thermal conductivity, and thickness measurements journal December 2020
Thermal conductivity measurements of sub-surface buried substrates by steady-state thermoreflectance journal June 2021
Perspective on thermal conductance across heterogeneously integrated interfaces for wide and ultrawide bandgap electronics journal January 2022
The thermomagnetic figure of merit of reheated pyrolytic graphite at liquid helium temperature journal April 1965
Kapitza conductance and heat flow between solids at temperatures from 50 to 300 K journal December 1993
On the Determination of Thermal Conductivity From Frequency Domain Thermoreflectance Experiments journal November 2021
Measuring the Thermal Conductivity of thin Films: 3 Omega and Related Electrothermal Methods journal January 2013