An inverse phonon radiative transport problem in estimating the boundary temperatures for a double-layer nanoscale thin film

Cheng Hung Huang; Kuan Yu Chen

doi:10.1080/10407780601112936

An inverse phonon radiative transport problem in estimating the boundary temperatures for a double-layer nanoscale thin film

Cheng Hung Huang, Kuan Yu Chen

Department of Systems and Naval Mechatronic Engineering

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

An iterative regularization method (or conjugate gradient method, CGM) is utilized in the present inverse phonon radiative transport problem in estimating the unknown boundary temperature distributions, based on the phonon intensity measurements, for a double-layer thin-film structure. The CGM in dealing with the present integrodifferential governing equations is not as straightforward as for the normal differential equations; special treatment is needed to overcome the difficulties. Results obtained in this inverse analysis are justified based on numerical experiments in which three different unknown temperature (or phonon intensity) distributions are to be determined. Finally, it is shown that accurate boundary temperatures can always be obtained with the CGM.

Original language	English
Pages (from-to)	43-70
Number of pages	28
Journal	Numerical Heat Transfer; Part A: Applications
Volume	52
Issue number	1
DOIs	https://doi.org/10.1080/10407780601112936
Publication status	Published - 2007 Jan 1

All Science Journal Classification (ASJC) codes

Numerical Analysis
Condensed Matter Physics

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abstract = "An iterative regularization method (or conjugate gradient method, CGM) is utilized in the present inverse phonon radiative transport problem in estimating the unknown boundary temperature distributions, based on the phonon intensity measurements, for a double-layer thin-film structure. The CGM in dealing with the present integrodifferential governing equations is not as straightforward as for the normal differential equations; special treatment is needed to overcome the difficulties. Results obtained in this inverse analysis are justified based on numerical experiments in which three different unknown temperature (or phonon intensity) distributions are to be determined. Finally, it is shown that accurate boundary temperatures can always be obtained with the CGM.",

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