Unique Reconstruction of the Heat-Reflection Indices at Solid Interfaces

Abstract

We show the unique reconstruction of the heat-reflection coefficients in a phonon transport equation. This is a mathematical model used to characterize the dynamics of heat-conducting phonons in multiple layers of media, commonly composed of metals and silicon. In experiments, the heat-reflection indices are inferred by measuring the temperature at the surface of the exterior metal after applying heat sources. In this article, we rigorously justify the unique reconstruction of these indices by using such procedures.

References in corpus (4)

• Experimental metrology to obtain thermal phonon transmission coefficients at solid interfaces
• Extending the range of validity of Fourier's law into the kinetic transport regime via asymptotic solution of the phonon Boltzmann transport equation
• Applications of Kinetic Tools to Inverse Transport Problems
• Linearized Reconstruction for Diffuse Optical Spectroscopic Imaging