Low Loss Light Feld Modes in Nano Planar Waveguide: An Analytical Approach Based on the Rytov-Leontovich Boundary Conditions

We develop an analytical approach based on the Rytov-Leontovich boundary conditions to study light field modes in the nano planar waveguides. The analytical results thus obtained demonstrate new conditions for optical low loss surface plasmon-polariton modes in the planar waveguides with dielectric-metamaterial interfaces. The obtained results are confirmed with existing numerical calcultions. More general conditions for using the proposed analytical approach to study light field in the nano waveguides are also considered.