Abstract
The waveguide properties of a symmetrical three-layered structure consisting of a linearly graded-index layer in nonlinear medium are described theoretically. The new form of dielectric constant combining the spatially distributed part and intensity dependent Kerr type part is proposed. The exact solutions of the nonlinear wave equation with the complex dielectric constant in the case of positive (self-focusing) and negative (defocusing) nonlinear response were found. The formation of transverse electric waveguide modes are described analytically using four new types of the nonlinear guided waves in the self-focusing and defocusing media. The discrete spectra of the effective refractive index of even and odd modes are obtained in exact analytical form. The order of even and odd modes coincides with the number of maxima in the field distribution in the across graded-index layer direction. It is shown that a mode of order not higher than the determined one can be excited in the waveguide. Restrictions for the highest order of the waveguide modes that can be excited for given values of the optical and geometrical parameters of the waveguide are found. The influence on the profile of the electric field distribution of the unperturbed dielectric constants, the nonlinearity coefficients, the wave number, the thickness of the graded-index layer is studied.
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Savotchenko, S.E. New types of transverse electric nonlinear waves propagating along a linearly graded-index layer in a medium with Kerr nonlinearity. Opt Quant Electron 55, 74 (2023). https://doi.org/10.1007/s11082-022-04323-1
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DOI: https://doi.org/10.1007/s11082-022-04323-1