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We have obtained an analytical solution for the dispersion relation of thelight field modes in the nanowaveguide structure. The solution has beenanalyzed for the planar waveguide with metamaterial claddings and dielectriccore. The analytical solution is valid within the broadband spectral range andis confirmed by existing numerical calculations. The developed theoreticalapproach opens vast possibilities for the analytical investigations of thelight fields in the various waveguides.

An analytical solution for light field modes in waveguides with nonideal cladding