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We develop an analytical approach based on the Rytov-Leontovich boundaryconditions to study light field modes in the nano planar waveguides. Theanalytical results thus obtained demonstrate new conditions for optical lowloss surface plasmon-polariton modes in the planar waveguides withdielectric-metamaterial interfaces. The obtained results are confirmed withexisting numerical calcultions. More general conditions for using the proposedanalytical approach to study light field in the nano waveguides are alsoconsidered.

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