Green’s functions in thermal-wave physics: Cartesian coordinate representations

Abstract

A self-consistent integral formulation of Green’s functions in thermal wave-physics is presented in one, two, and three dimensions and for infinite, semi-infinite, and spatially bounded geometries. Furthermore, several applications are explicitly worked out based on either Dirichlet or Neumann boundary conditions and resulting in well-known or novel integral expressions for propagating thermal-wave fields in thermally homogeneous media and in experimentally useful geometries. It is hoped that the Green’s functions methodologies will enhance their use by investigators who wish to take advantage of their elegance, mathematical simplicity, and computational power.