P-Polarized nonlinear surface polaritons in layered structures

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We found an exact solution of Maxwell's equations, which describes the propagation ofp-polarized nonlinear surface polaritons and ofp-polarized nonlinear guided wave polaritons in two cases:i) in a film of a surface active material placed on a substrate described by a diagonal dielectric tensor whose elements depend on the amplitude of the electric field according to ε1 12 2 + α(|E 1|2 + |E 2|2), ε3 3, andii) in a film described by the same dielectric tensor (optically uniaxial nonlinear crystal) placed on a substrate with dielectric constant ε3 (optically linear medium). The power carried in the surface waves has also been exactly calculated.