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

TL;DR

This paper presents an analytical solution for the dispersion relation of light modes in nanowaveguides with nonideal cladding, validated against numerical methods, enabling deeper theoretical understanding of waveguide light fields.

Contribution

The paper introduces a novel analytical approach for analyzing light field modes in waveguides with metamaterial claddings, extending beyond numerical methods.

Findings

Analytical dispersion relation valid across broadband spectrum.

Solution confirmed by existing numerical calculations.

Enables new theoretical investigations of waveguide light fields.

Abstract

We have obtained an analytical solution for the dispersion relation of the light field modes in the nanowaveguide structure. The solution has been analyzed for the planar waveguide with metamaterial claddings and dielectric core. The analytical solution is valid within the broadband spectral range and is confirmed by existing numerical calculations. The developed theoretical approach opens vast possibilities for the analytical investigations of the light fields in the various waveguides.