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Nonlinear Surface Waves near the Interface between a Graded-Index Layer and a Medium with the Sign of the Kerr Nonlinearity Varying Depending on the Electric Field

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Abstract

We consider the contact of a medium in which the refractive index linearly decreases depending on the distance to a nonlinear medium, where the sign of the Kerr nonlinearity can change abruptly when the electric-field strength reaches a threshold value. It is established that surface waves of three types can propagate along such a contact, depending on the sign of the nonlinearity and the range of values of the effective refractive index. Explicit analytical expressions are obtained for the distribution of the electric-field strength in the transverse direction with respect to the contact plane, which are exact solutions of the formulated nonlinear equations. It is shown that the formation of electric-field distributions corresponding to waveguide modes with several intensity maxima is possible in the layer with a refractive-index gradient.

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Authors and Affiliations

  1. Shukhov Belgorod State Technological University, 308012, Belgorod, Russia

    S. E. Savotchenko

  2. Putilin Belgorod Law Institute of the Ministry of Internal Affairs of Russia, 308024, Belgorod, Russia

    S. E. Savotchenko

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  1. S. E. Savotchenko
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Correspondence to S. E. Savotchenko.

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Translated by D. Churochkin

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Savotchenko, S.E. Nonlinear Surface Waves near the Interface between a Graded-Index Layer and a Medium with the Sign of the Kerr Nonlinearity Varying Depending on the Electric Field. J. Surf. Investig. 16, 1003–1011 (2022). https://doi.org/10.1134/S1027451022060210

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  • DOI: https://doi.org/10.1134/S1027451022060210

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