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At the nanoscale, thermal transport across the interface between two latticeinsulators can be described by the transmission of bulk phonons and depends onthe crystallographic structure of the interface and the bulk crystal lattice.In this tutorial, we give an account of how an extension of the AtomisticGreen's Function (AGF) method based on the concept of the Bloch matrix can beused to model the transmission of individual phonon modes and allow us todetermine the wavelength and polarization dependence of the phonontransmission. Within this framework, we can explicitly establish therelationship between the phonon transmission coefficient and dispersion.Details of the numerical methods used in the extended AGF method are provided.To illustrate how the extended AGF method can be applied to yield insights intoindividual phonon transmission, we study the (16,0)/(8,0) carbon nanotubeintramolecular junction. The method presented here sheds light on the modalcontribution to interfacial thermal transport between solids.

Tutorial: Concepts and numerical techniques for modeling individual phonon transmission at interfaces