Generalized nanoscale electromagnetic boundary conditions and interfacial photonics

Classical electromagnetic boundary conditions (EMBCs) fail to describe quantum interface phenomena at nanoscale. Here, we construct the interface model with a transition layer describing the electromagnetic field inhomogeneity across the interface. Generalized nanoscale EMBCs are derived by introducing the magnetic interfacial response functions (IRFs) and are rewritten as three different forms based on Maxwell's equations in first order approximation. The corresponding Fresnel formula are further used to analyze the interfacial photonic phenomenon, demonstrating interesting behaviors of Brewster angle shifting, non-extinction at Brewster angle and distinctive non-classical absorption or gain effect at Brewster angle and the total internal reflection angles. IRFs-controlled GH-shifts of Gaussian beam near Brewster angle are generated by the non-classical interface. These unique phenomena give us some guidance to measure the IRFs and expand interface photonics in nanoscale.