Analytical model for laser-induced transient grating measurements of thermal diffusivity in non-opaque materials

Založnik, Anže; Simmonds, Michael J.; Schwendeman, Brandon D.; Boechler, Nicholas; Baldwin, Matthew J.; Tynan, George R.

doi:10.1063/5.0193658

Analytical model for laser-induced transient grating measurements of thermal diffusivity in non-opaque materials

Journal Article · Wed Mar 27 00:00:00 EDT 2024 · Journal of Applied Physics

DOI:https://doi.org/10.1063/5.0193658· OSTI ID:2328519

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University of California San Diego, La Jolla, CA (United States); University of California San Diego
University of California San Diego, La Jolla, CA (United States)

The thermal transport and elastic properties of materials are often measured using the laser-induced transient grating spectroscopy (TGS) technique. The analysis of the TGS signal usually involves fitting well-known expressions, derived assuming the limiting cases of opaque or transparent materials, to the measured data. In this paper, the system of thermoelastic equations is analytically solved for an isotropic homogeneous material assuming finite laser penetration depth, which is an important consideration when the penetration depth is on the order of the acoustic wavelength. The need to use such a solution is discussed and compared to the expression for opaque material. The solution is benchmarked against TGS signal measured on single-crystal silicon with {100} surface orientation and is found to significantly improve the accuracy of the calculated thermal diffusivity as compared to using the expression for opaque material.

View Accepted Manuscript (DOE)

Research Organization:: University of California San Diego, La Jolla, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); U.S. Army Research Office

Grant/Contract Number:: SC0022528

OSTI ID:: 2328519

Journal Information:: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 12 Vol. 135; ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (25)

Optical properties of intrinsic silicon at 300 K Green, Martin A.; Keevers, Mark J. Progress in Photovoltaics: Research and Applications, Vol. 3, Issue 3 https://doi.org/10.1002/pip.4670030303	journal	January 1995
Elastic modulus and in-plane thermal diffusivity measurements in thin polyimide films using symmetry-selective real-time impulsive stimulated thermal scattering Rogers, J. A.; Yang, Y.; Nelson, K. A. Applied Physics A Solids and Surfaces, Vol. 58, Issue 5 https://doi.org/10.1007/BF00332448	journal	May 1994
Thermal diffusivity measurements of natural and isotopically enriched diamond by picosecond infrared transient grating experiments Tokmakoff, A.; Banholzer, W. F.; Fayer, M. D. Applied Physics A Solids and Surfaces, Vol. 56, Issue 1 https://doi.org/10.1007/BF00351908	journal	January 1993
Transient thermal gratings at surfaces for thermal characterization of bulk materials and thin films K�ding, O. W.; Skurk, H.; Maznev, A. A. Applied Physics A Materials Science & Processing, Vol. 61, Issue 3 https://doi.org/10.1007/BF01538190	journal	September 1995
Laser-Ultrasonic Characterization of Strongly Anisotropic Materials by Transient Grating Spectroscopy Stoklasová, P.; Grabec, T.; Zoubková, K. Experimental Mechanics, Vol. 61, Issue 4 https://doi.org/10.1007/s11340-021-00698-6	journal	February 2021
Thermal conductivity of silicon, germanium, III–V compounds and III–V alloys Maycock, P. D. Solid-State Electronics, Vol. 10, Issue 3 https://doi.org/10.1016/0038-1101(67)90069-X	journal	March 1967
Thermal diffusivity recovery and defect annealing kinetics of self-ion implanted tungsten probed by insitu transient grating spectroscopy Reza, Abdallah; He, Guanze; Dennett, Cody A. Acta Materialia, Vol. 232 https://doi.org/10.1016/j.actamat.2022.117926	journal	June 2022
Real-time thermomechanical property monitoring during ion beam irradiation using in situ transient grating spectroscopy Dennett, Cody A.; Buller, Daniel L.; Hattar, Khalid Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 440 https://doi.org/10.1016/j.nimb.2018.10.025	journal	February 2019
Self-consistent optical parameters of intrinsic silicon at 300K including temperature coefficients Green, Martin A. Solar Energy Materials and Solar Cells, Vol. 92, Issue 11 https://doi.org/10.1016/j.solmat.2008.06.009	journal	November 2008
Forward and inverse problems for surface acoustic waves in anisotropic media: A Ritz–Rayleigh method based approach Stoklasová, Pavla; Sedlák, Petr; Seiner, Hanuš Ultrasonics, Vol. 56 https://doi.org/10.1016/j.ultras.2014.09.004	journal	February 2015
Thermal diffusion measurements using spatially periodic temperature distributions induced by laser light Eichler, H.; Salje, G.; Stahl, H. Journal of Applied Physics, Vol. 44, Issue 12 https://doi.org/10.1063/1.1662160	journal	December 1973
Real‐time optical characterization of surface acoustic modes of polyimide thin‐film coatings Duggal, Anil R.; Rogers, John A.; Nelson, Keith A. Journal of Applied Physics, Vol. 72, Issue 7 https://doi.org/10.1063/1.351535	journal	October 1992
Phase-controlled, heterodyne laser-induced transient grating measurements of thermal transport properties in opaque material Johnson, Jeremy A.; Maznev, Alexei A.; Bulsara, Mayank T. Journal of Applied Physics, Vol. 111, Issue 2 https://doi.org/10.1063/1.3675467	journal	January 2012
The determination of the elastic constants of isotropic solids by means of transient thermal surface gratings Fivez, J. Journal of Applied Physics, Vol. 119, Issue 1 https://doi.org/10.1063/1.4939208	journal	January 2016
Increase in elastic anisotropy of single crystal tungsten upon He-ion implantation measured with laser-generated surface acoustic waves Duncan, R. A.; Hofmann, F.; Vega-Flick, A. Applied Physics Letters, Vol. 109, Issue 15 https://doi.org/10.1063/1.4964709	journal	October 2016
Thermal diffusivity determination using heterodyne phase insensitive transient grating spectroscopy Dennett, Cody A.; Short, Michael P. Journal of Applied Physics, Vol. 123, Issue 21 https://doi.org/10.1063/1.5026429	journal	June 2018
Apparent anisotropic thermal diffusivity measured in cubic single crystals by transient grating spectroscopy Kušnír, Jakub; Grabec, Tomáš; Zoubková, Kristýna Journal of Applied Physics, Vol. 133, Issue 12 https://doi.org/10.1063/5.0136850	journal	March 2023
Treatment of Thermal Gratings in the Time and Frequency Domain Jáuregui, J. A.; Welsch, E. Journal of Modern Optics, Vol. 40, Issue 11 https://doi.org/10.1080/09500349314552201	journal	November 1993
The propagation of surface elastic waves in a cubic crystal Stoneley, Robert Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 232, Issue 1191, p. 447-458 https://doi.org/10.1098/rspa.1955.0230	journal	November 1955
Rayleigh Wave Propagation on Anisotropic (Cubic) Media Gold, Louis Physical Review, Vol. 104, Issue 6 https://doi.org/10.1103/PhysRev.104.1532	journal	December 1956
Thermal Conductivity of Silicon from 300 to 1400°K Shanks, H. R.; Maycock, P. D.; Sidles, P. H. Physical Review, Vol. 130, Issue 5 https://doi.org/10.1103/PhysRev.130.1743	journal	June 1963
Electronic Effects in the Elastic Constants of n -Type Silicon Hall, John J. Physical Review, Vol. 161, Issue 3 https://doi.org/10.1103/PhysRev.161.756	journal	September 1967
Interaction of a Contact Resonance of Microspheres with Surface Acoustic Waves Boechler, N.; Eliason, J. K.; Kumar, A. Physical Review Letters, Vol. 111, Issue 3 https://doi.org/10.1103/PhysRevLett.111.036103	journal	July 2013
Optimization by Simulated Annealing Kirkpatrick, S.; Gelatt, C. D.; Vecchi, M. P. Science, Vol. 220, Issue 4598 https://doi.org/10.1126/science.220.4598.671	journal	May 1983
A Subspace, Interior, and Conjugate Gradient Method for Large-Scale Bound-Constrained Minimization Problems Branch, Mary Ann; Coleman, Thomas F.; Li, Yuying SIAM Journal on Scientific Computing, Vol. 21, Issue 1 https://doi.org/10.1137/S1064827595289108	journal	January 1999

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36 MATERIALS SCIENCE
Optical absorption
Silicon
Thermal diffusivity
Transient grating spectroscopy

Analytical model for laser-induced transient grating measurements of thermal diffusivity in non-opaque materials

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