Parametrical excitation of surface type X-modes (STXM) at the second harmonic of electron cyclotron frequency by nonmonochromatic external alternating electric field is under consideration. STXM are the eigenmodes of a planar magnetoactive plasma waveguide structure consisting of a metal'wall with dielectric coating and uniform plasma filling. An external steady magnetic field is applied along the plasma interface, so it is perpendicular to the group velocity of the considered extraordinarily polarized waves. Influence of the plasma waveguide parameters on the parametrical instability of the STXM is studied. External alternating electric field is assumed to consist of two fields with different amplitudes and frequencies. A theoretical investigation is carried out using kinetic equation for plasma particles under the conditions of weak plasma spatial dispersion and small amplitudes of external electric fields. The obtained results can be useful for research in branch of edge plasma physics.

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The frequency dependence of the reflection coefficient is studied for the case when a plane wave is incident upon an inhomogeneous slab representing the plasma wavetrain of a special type, which consists of the single-extremum regular and multiextremum multiscale irregular parts. A band-limited fractal function is invoked to model the irregular part of the permittivity profile that describes the multiscale inhomogeneities. A first-order nonlinear differential equation of the Riccati type is used for calculations. The obtained results demonstrate the effect of the parameters of the fractal function on the frequency-dependent reflection coefficient.

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