An Inverse Phonon Radiative Transport Problem in Estimating the Boundary Temperatures for A Double-Layer Nanoscale Thin Film

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.

This work was supported in part by the National Science Council, Republic of China, Grant NSC-94-2611-E-006-021.