Abstract
Analytical dispersion relations and the power flow expressions for TM (p-polarized) non-linear electromagnetic surface wave propagating along the interface of an inhomogeneous and dielectric non-linear media have been investigated theoretically_ An inhomogeneous dielectric cover has the dielectric permittivity of the form e = a + bz, which is contacted with strongly non-linear Kerr like layer. The existence conditions for these waves to be propagated are studied. These waves have no counterpart in the linear isotropic regime. The power flow versus the wave index, and the consequence interference non-linearity might be evaluated for a variety of inhomogeneity parameters, which are found to be inhomogeneity dependent, and could lead to optical hysteresis and bistability.
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