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A representation of Kerr-like nonlinearity for the analytical TM surface polariton solution

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Abstract

The TM-polarized waves propagating along the interface between a nonlinear Kerr-like material and linear cladding are investigated. We analyse the nonlinear dielectric permittivity as a function of the electromagnetic field. It is shown that an exact analytical solution of Maxwell's equations corresponding to the TM surface polariton in the form described by sech function do exist in a Kerr-like nonlinear medium with the permittivity profile given by a hypergeometric function. We compare our analytical solution and analogous exact numerical solution in a Kerr medium. The power flow down the interface between two media is also discussed.

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Jasiński, J., Gniadek, K. A representation of Kerr-like nonlinearity for the analytical TM surface polariton solution. Opt Quant Electron 26, 865–876 (1994). https://doi.org/10.1007/BF00435091

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Keywords

  • Communication Network
  • Electromagnetic Field
  • Dielectric Permittivity
  • Hypergeometric Function
  • Power Flow