https://doi.org/10.1140/epjp/s13360-024-04967-w
Regular Article
Light localization near an interface between media with an exponential permittivity profile and a sharply vanishing Kerr nonlinearity with an increasing light intensity
MIREA - Russian Technological University, Vernadsky Ave, 78, 119454, Moscow, Russia
Received:
17
June
2023
Accepted:
1
February
2024
Published online:
12
February
2024
New peculiarities of light localization near the interface between media with an exponential profile of the dielectric permittivity and with a sharp suppression of the Kerr nonlinear response in a near-surface layer formed with an increasing light intensity are described theoretically. Two signs of nonlinear response corresponding to self-focusing and defocusing nonlinear media are considered. Exact solutions to stationary wave equation with dielectric permittivity consisting of spatial-dependent and intensity-dependent parts satisfying the boundary conditions at the medium interface and the near-surface layer boundary are found. The effect of the optical and geometric parameters on the transverse distribution of the light intensity and the features of the lightwave localization is analyzed. It is found that light localization length decreases with a decrease in the wavelength of excited radiation but the maximum of intensity remains unchanged. The wave intensity enlarges with an increase in the effective refractive index and in the threshold intensity. The near-surface domain width where a nonlinear response is suppressed enlarges with increasing the effective refractive index, the threshold intensity, and the Kerr nonlinearity coefficient. It reduces with increasing values of the parameters of the exponential graded-index layer. It is shown that the largest portion of the lightwave power is concentrated in the near-surface domain with suppressed nonlinear response, which plays the role of the main waveguide layer. It is found that the optical parameters of the exponential graded-index layer affect the redistribution of the wave energy between the contacting areas of the waveguide structure.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
