Thermal conductivity depth-profile reconstruction of multilayered cylindrical solids using the thermal-wave Green function method

摘要

In this paper, a theoretical model for characterizing solid multi-layered cylindrical samples illuminated by a modulated uniform incident beam is developed by means of the Green function method. The specific Green function for the multi-layered cylindrical structure is derived and an analytical expression for the thermal-wave field in such a cylindrical sample is presented. The thermal-wave field of an inhomogeneous cylindrical sample irradiated with incident light of arbitrary angular and/or radial intensity distribution was obtained using this theoretical model. Furthermore, experimental validation is also presented in the form of experimental results with steel cylinders of various diameters.