Guided waves in a graded-index substrate covered by an intensity-dependent defocusing nonlinear medium

New features of the surface wave propagation along an exponentially graded-index layer and nonlinear substrate with generalized Kerr-type nonlinear response

“…Dispersion equation ( 31) was obtained in [42] in the case of contact of nonlinear media with considered type of nonlinearity with a linearly graded-index layer where its detail analysis can be found. Moreover, such a dispersion equation is typical for medium with the described type of switching of the defocusing Kerr nonlinearity in the range under consideration regardless of the second medium in contact with it [43].…”

“…In this paper, we continue research aimed at finding exact analytical solutions that describe new types of nonlinear surface waves traveling along the contact of graded-index and nonlinear media. Our previous papers [41,42] devoted to the waves propagating along the linearly graded-index layer covered by nonlinear medium with a sharp change in the value of the Kerr nonlinearity coefficient in dependence of the wave amplitude. Here we present new surface waves travelling along the interface between a medium with the same type of the Kerr nonlinearity generalization (proposed in [43]) and an exponentially graded-index layer [23,24].…”