Reflection, transmission, and surface susceptibility tensor of two-dimensional materials

In a recent experiment, the out-of-plane surface susceptibility of single-layer two-dimensional atom crystal in visible spectrum has been measured. This gives measurable contribution to reflectivity materials. Here we provide complete theoretical description reflective properties, considering incoming $s$- and $p$-polarized plane waves at any angle incidence on crystal, computing local, reflected, transmitted electromagnetic fields. We finally connect microscopic polarizability both in-plane macroscopic susceptibilities.