A scattering matrix formalism to model periodic heat diffusion in stratified solid media

Transfer matrix formalism is widely used in modeling periodic heat diffusion layered structures. Due to an intrinsic numerical instability issue, this fails at high heating frequencies and/or thick Inspired by its success wave propagation, we develop a numerically stable scattering framework model stratified solid media. As concrete example, apply methodology the 3ω method. We first validate our using various well-known solutions. Next, demonstrate stability of configuration that resembles three-dimensional stacked architecture for chip packing. Last, propose synthetic “experiments” exhibit, under certain circumstances, merits extracting thermal properties.