An inverse problem in estimating the relaxation time for nanoscale phonon radiative transfer problem

Cheng Hung Huang; Kuan Yu Chen; Sin Kim

doi:10.1002/nme.1989

An inverse problem in estimating the relaxation time for nanoscale phonon radiative transfer problem

Cheng Hung Huang, Kuan Yu Chen, Sin Kim

Department of Systems and Naval Mechatronic Engineering

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

Abstract

An inverse nanoscale phonon radiative transfer problem is solved in this study by using conjugate gradient method (CGM) to estimate the unknown frequency- and temperature-dependent relaxation time, based on the simulated phonon intensity measurements. The CGM in dealing with the present integro-differential governing equations is not as straightforward as for the normal differential equations; special treatments are needed to overcome the difficulties. Results obtained in this inverse analysis will be justified based on the numerical experiments where two different unknown distributions of relaxation time are to be estimated. Finally, it is shown that the reliable frequency and temperature-dependent relaxation time can be obtained with CGM.

Original language	English
Pages (from-to)	1-25
Number of pages	25
Journal	International Journal for Numerical Methods in Engineering
Volume	73
Issue number	1
DOIs	https://doi.org/10.1002/nme.1989
Publication status	Published - 2008 Jan 1

All Science Journal Classification (ASJC) codes

Numerical Analysis
Engineering(all)
Applied Mathematics

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abstract = "An inverse nanoscale phonon radiative transfer problem is solved in this study by using conjugate gradient method (CGM) to estimate the unknown frequency- and temperature-dependent relaxation time, based on the simulated phonon intensity measurements. The CGM in dealing with the present integro-differential governing equations is not as straightforward as for the normal differential equations; special treatments are needed to overcome the difficulties. Results obtained in this inverse analysis will be justified based on the numerical experiments where two different unknown distributions of relaxation time are to be estimated. Finally, it is shown that the reliable frequency and temperature-dependent relaxation time can be obtained with CGM.",

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