  There is still a gap in understanding phonons scattering by geometrical
defects at the nanoscale, and it remains a significant challenge for heat
transfer management in nanoscale devices and systems. In this study, we aim to
explore the characteristics of phonon scattering by a single pore to gain
insights into thermal transport in nanostructures. The paper outlines a
methodology for assessing the spatial distribution of the magnitude of the
radial, azimuthal, and polar components of the velocity of scattered phonons by
a spherical pore. We demonstrated that the size parameter, commonly employed in
electromagnetic wave scattering theory, is vital in determining the scattering
regime. Specifically, we show that calculated scattering efficiency has the
same pattern as one commonly obtained in classical wave scattering theory.
However, we found that crystallographic directions are pivotal in shaping the
scattering patterns, especially in the regions where scattering patterns are
defined by the Mie resonances. This observation holds significance in
understanding the influence of phonon coherence on thermal transport in
nanostructured materials.
