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Guided waves propagating along a parabolic graded-index slab in Kerr nonlinear medium

机译：Guided waves propagating along a parabolic graded-index slab in Kerr nonlinear medium

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Abstract The waveguide properties of the parabolic graded-index slab in the Kerr nonlinear medium are described theoretically. The proposed model includes the dielectric function consisting of two parts with different optical properties. The optical properties of a nonlinear medium are characterized by the dielectric function depending on the electric field intensity (the Kerr nonlinearity). The optical properties of the slab are characterized by the dielectric function depending on the distance with parabolic profile. The exact solution to the wave equation with such a dielectric function is found in explicit analytical form. The found solution describes the transverse electric guided wave modes symmetrically localized near the slab and propagating along it. The effect of the change in the waveguide parameters on the electric field distribution in the guided wave is analyzed. The dependence of the order up to which waveguide modes can be excited on the waveguide system parameters is obtained. The smallest possible plate thickness required for mode excitation is found. The calculations of the power flow show the redistribution of the guided wave energy between the slab and the nonlinear medium with an increase in the mode order.

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