Phononic thermal resistance due to a finite periodic array of nano-scatterers
The wave property of phonons is employed to explore the thermal transport across a finite periodic array of nano-scatterers 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 incide...
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| Published in | Journal of applied physics Vol. 120; no. 4 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Melville
American Institute of Physics
28.07.2016
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| Online Access | Get full text |
| ISSN | 0021-8979 1089-7550 |
| DOI | 10.1063/1.4959803 |
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| Abstract | The wave property of phonons is employed to explore the thermal transport across a finite periodic array of nano-scatterers 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 time-dependent acoustic frame in a two-dimensional system. Roughness effects can be directly considered within the computations without relying on approximate analytical formulae. Analysis by spatio-temporal Fourier transform allows us to observe the diffraction effects and the conversion of polarization. Frequency-dependent 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. |
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| AbstractList | The wave property of phonons is employed to explore the thermal transport across a finite periodic array of nano-scatterers 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 time-dependent acoustic frame in a two-dimensional system. Roughness effects can be directly considered within the computations without relying on approximate analytical formulae. Analysis by spatio-temporal Fourier transform allows us to observe the diffraction effects and the conversion of polarization. Frequency-dependent energy transmission coefficients are computed for symmetric and asymmetric objects. 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 than that without phononic filtering. The wave property of phonons is employed to explore the thermal transport across a finite periodic array of nano-scatterers 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 time-dependent acoustic frame in a two-dimensional system. Roughness effects can be directly considered within the computations without relying on approximate analytical formulae. Analysis by spatio-temporal Fourier transform allows us to observe the diffraction effects and the conversion of polarization. Frequency-dependent 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. |
| Author | Trang Nghiêm, T. T. Chapuis, Pierre-Olivier |
| Author_xml | – sequence: 1 givenname: T. T. surname: Trang Nghiêm fullname: Trang Nghiêm, T. T. organization: Univ. Lyon, CNRS, INSA-Lyon, Université Claude Bernard Lyon 1, CETHIL UMR5008, F-69621 Villeurbanne, France – sequence: 2 givenname: Pierre-Olivier surname: Chapuis fullname: Chapuis, Pierre-Olivier organization: Univ. Lyon, CNRS, INSA-Lyon, Université Claude Bernard Lyon 1, CETHIL UMR5008, F-69621 Villeurbanne, France |
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| Keywords | phononics thermal resistance finite array phononic crystal acoustic phonons thermal phonons Kapitza resistance |
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| SubjectTerms | Acoustics Applied physics APPROXIMATIONS Arrays CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFRACTION Energy transmission Engineering Sciences Filtration FOURIER TRANSFORMATION Fourier transforms FREQUENCY DEPENDENCE HOLES KAPITZA RESISTANCE Mechanics Periodic variations PHONONS Physics POLARIZATION Reciprocity ROUGHNESS SILICON TEMPERATURE DEPENDENCE TEMPERATURE RANGE 0013-0065 K TEMPERATURE RANGE 0065-0273 K Thermal conductivity Thermal resistance Thermics TIME DEPENDENCE TWO-DIMENSIONAL CALCULATIONS Vibrations |
| Title | Phononic thermal resistance due to a finite periodic array of nano-scatterers |
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