Application of diffuse mismatch theory to the prediction of thermal boundary resistance in thin-film high-Tc superconductors

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Abstract

Thermal boundary resistance (Rb) plays an important role in the design and performance of thin-film high-temperature superconducting devices, such as infrared detectors and optical switches, which rely upon the temperature rise of the film as the basis for their operation. Although there is general agreement on the magnitude of Rb from experimental data, there is at present no generally accepted theory capable of predicting Rb for these films, particularly at the intermediate cryogenic temperatures where they are likely to be used. Here, the Diffuse Mismatch Model (DMM), which considers that all phonons reaching the interface between the film and substrate scatter diffusely, is applied to the calculation of Rb. The results indicate that when employing the Debye model for the phonon density of states, the DMM yields results slightly more in agreement with data than the Acoustic Mismatch Model (AMM). Considering the measured phonon density of states, however, greatly increases Rb over that calculated assuming the Debye model, thus bringing the DMM results in relatively good agreement with the experimental data.

Original languageEnglish (US)
Pages (from-to)37-43
Number of pages7
JournalJournal of Heat Transfer
Volume120
Issue number1
StatePublished - Feb 1998

Fingerprint

Superconducting materials
Thin films
thin films
predictions
Superconducting devices
superconducting devices
Infrared detectors
Optical switches
infrared detectors
cryogenic temperature
Phonons
Cryogenics
Temperature
Hot Temperature
phonons
switches
Acoustics
acoustics
Substrates
temperature

Keywords

  • Conduction
  • Cryogenics
  • Direct-Contact Heat Transfer

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Physical and Theoretical Chemistry
  • Mechanical Engineering

Cite this

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abstract = "Thermal boundary resistance (Rb) plays an important role in the design and performance of thin-film high-temperature superconducting devices, such as infrared detectors and optical switches, which rely upon the temperature rise of the film as the basis for their operation. Although there is general agreement on the magnitude of Rb from experimental data, there is at present no generally accepted theory capable of predicting Rb for these films, particularly at the intermediate cryogenic temperatures where they are likely to be used. Here, the Diffuse Mismatch Model (DMM), which considers that all phonons reaching the interface between the film and substrate scatter diffusely, is applied to the calculation of Rb. The results indicate that when employing the Debye model for the phonon density of states, the DMM yields results slightly more in agreement with data than the Acoustic Mismatch Model (AMM). Considering the measured phonon density of states, however, greatly increases Rb over that calculated assuming the Debye model, thus bringing the DMM results in relatively good agreement with the experimental data.",
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N2 - Thermal boundary resistance (Rb) plays an important role in the design and performance of thin-film high-temperature superconducting devices, such as infrared detectors and optical switches, which rely upon the temperature rise of the film as the basis for their operation. Although there is general agreement on the magnitude of Rb from experimental data, there is at present no generally accepted theory capable of predicting Rb for these films, particularly at the intermediate cryogenic temperatures where they are likely to be used. Here, the Diffuse Mismatch Model (DMM), which considers that all phonons reaching the interface between the film and substrate scatter diffusely, is applied to the calculation of Rb. The results indicate that when employing the Debye model for the phonon density of states, the DMM yields results slightly more in agreement with data than the Acoustic Mismatch Model (AMM). Considering the measured phonon density of states, however, greatly increases Rb over that calculated assuming the Debye model, thus bringing the DMM results in relatively good agreement with the experimental data.

AB - Thermal boundary resistance (Rb) plays an important role in the design and performance of thin-film high-temperature superconducting devices, such as infrared detectors and optical switches, which rely upon the temperature rise of the film as the basis for their operation. Although there is general agreement on the magnitude of Rb from experimental data, there is at present no generally accepted theory capable of predicting Rb for these films, particularly at the intermediate cryogenic temperatures where they are likely to be used. Here, the Diffuse Mismatch Model (DMM), which considers that all phonons reaching the interface between the film and substrate scatter diffusely, is applied to the calculation of Rb. The results indicate that when employing the Debye model for the phonon density of states, the DMM yields results slightly more in agreement with data than the Acoustic Mismatch Model (AMM). Considering the measured phonon density of states, however, greatly increases Rb over that calculated assuming the Debye model, thus bringing the DMM results in relatively good agreement with the experimental data.

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