Reflection and transmission of both continuous and solitary waves in conductive media with Kerr-type nonlinearity

We present a theoretical study of the incidence of nonuniform waves between two dissipative media with finite conductivity and with a nonlinear response to the applied electric field, which is associated with the Kerr effect. From the Adler-Chu-Fano formulation, the complex propagation vectors, transmitted and reflected angles, and Fresnel coefficients are obtained for the two linear polarization states. In addition, the modification of the total internal reflection, the phase shift, the Goos-Hanchen effect, as well as the interface interaction with bright solitons are explored. Calculations are performed for fused silica, the chalcogenide As2S3 glass, and gold in glass media.