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

TL;DR

This paper provides a comprehensive theoretical framework for understanding the reflective properties of two-dimensional materials, linking microscopic polarizability to macroscopic surface susceptibilities and analyzing electromagnetic interactions at various angles.

Contribution

It offers a complete theoretical model for reflection, transmission, and surface susceptibility tensors in 2D materials, including polarization and angle dependence.

Findings

Derived expressions for local, reflected, and transmitted fields.

Connected microscopic polarizability to macroscopic susceptibilities.

Applicable to any angle of incidence and polarization.

Abstract

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