Phononic thermal resistance due to a finite periodic array of nanoscatterers
Abstract
The wave property of phonons is employed to explore the thermal transport across a finite periodic array of nanoscatterers such as circular and triangular holes. As thermal phonons are generated in all directions, we study their transmission through a single array for both normal and oblique incidences, using a linear dispersionless timedependent acoustic frame in a twodimensional system. Roughness effects can be directly considered within the computations without relying on approximate analytical formulae. Analysis by spatiotemporal Fourier transform allows us to observe the diffraction effects and the conversion of polarization. Frequencydependent energy transmission coefficients are computed for symmetric and asymmetric objects that are both subject to reciprocity. We demonstrate that the phononic array acts as an efficient thermal barrier by applying the theory of thermal boundary (Kapitza) resistances to arrays of smooth scattering holes in silicon for an exemplifying periodicity of 10 nm in the 5–100 K temperature range. It is observed that the associated thermal conductance has the same temperature dependence as that without phononic filtering.
 Authors:
 Univ. Lyon, CNRS, INSALyon, Université Claude Bernard Lyon 1, CETHIL UMR5008, F69621 Villeurbanne (France)
 Publication Date:
 OSTI Identifier:
 22597725
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Applied Physics; Journal Volume: 120; Journal Issue: 4; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; DIFFRACTION; FOURIER TRANSFORMATION; FREQUENCY DEPENDENCE; HOLES; KAPITZA RESISTANCE; PHONONS; POLARIZATION; ROUGHNESS; SILICON; TEMPERATURE DEPENDENCE; TEMPERATURE RANGE 00130065 K; TEMPERATURE RANGE 00650273 K; TIME DEPENDENCE; TWODIMENSIONAL CALCULATIONS
Citation Formats
Trang Nghiêm, T. T., and Chapuis, PierreOlivier. Phononic thermal resistance due to a finite periodic array of nanoscatterers. United States: N. p., 2016.
Web. doi:10.1063/1.4959803.
Trang Nghiêm, T. T., & Chapuis, PierreOlivier. Phononic thermal resistance due to a finite periodic array of nanoscatterers. United States. doi:10.1063/1.4959803.
Trang Nghiêm, T. T., and Chapuis, PierreOlivier. 2016.
"Phononic thermal resistance due to a finite periodic array of nanoscatterers". United States.
doi:10.1063/1.4959803.
@article{osti_22597725,
title = {Phononic thermal resistance due to a finite periodic array of nanoscatterers},
author = {Trang Nghiêm, T. T. and Chapuis, PierreOlivier},
abstractNote = {The wave property of phonons is employed to explore the thermal transport across a finite periodic array of nanoscatterers such as circular and triangular holes. As thermal phonons are generated in all directions, we study their transmission through a single array for both normal and oblique incidences, using a linear dispersionless timedependent acoustic frame in a twodimensional system. Roughness effects can be directly considered within the computations without relying on approximate analytical formulae. Analysis by spatiotemporal Fourier transform allows us to observe the diffraction effects and the conversion of polarization. Frequencydependent energy transmission coefficients are computed for symmetric and asymmetric objects that are both subject to reciprocity. We demonstrate that the phononic array acts as an efficient thermal barrier by applying the theory of thermal boundary (Kapitza) resistances to arrays of smooth scattering holes in silicon for an exemplifying periodicity of 10 nm in the 5–100 K temperature range. It is observed that the associated thermal conductance has the same temperature dependence as that without phononic filtering.},
doi = {10.1063/1.4959803},
journal = {Journal of Applied Physics},
number = 4,
volume = 120,
place = {United States},
year = 2016,
month = 7
}

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