A REPRESENTATION OF KERR-LIKE NONLINEARITY FOR THE ANALYTICAL TM SURFACE POLARITON SOLUTION

The TM-polarized waves propagating along the interface between a nonli near Kerr-like material and linear cladding are investigated. We analy se the nonlinear dielectric permittivity as a function of the electrom agnetic field. It is shown that an exact analytical solution of Maxwel l's equations corresponding to the TM surface polariton in the form de scribed by sech function do exist in a Kerr-like nonlinear medium with the permittivity profile given by a hypergeometric function. We compa re our analytical solution and analogous exact numerical solution in a Kerr medium. The power flow down the interface between two media is a lso discussed.