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Abstract
Excitation of waves at harmonics of electron cyclotron frequency due to utilization of an external alternating electric fleld is under the consideration. It is proved that they are eigen modes of plasma-dielectric-metal structures in both long (as compared with electron Larmor radius) wavelength range and short wavelength range if an external steady magnetic fleld is oriented perpendicularly to the plasma interface. It is assumed that uniform external electric fleld operates at the frequency, which belongs to the range of electron cyclotron frequencies. The problem is solved theoretically using kinetic Vlasov-Boltzmann equation for description of the plasma particles motion and Maxwell equations for description of TM-polarized fleld of these modes. Non-linear boundary condition for tangential magnetic fleld of these TM-modes is formulated using conception of non-linear surface electric current. Inflnite set of equations for harmonics of their tangential electric fleld is derived due to this condition. This set is solved using approach of the wave packet consisting of the basic harmonic and two nearest satellite harmonics. Simple analytical expression for growth rate of surface electron cyclotron TM- modes' parametric instability is obtained and analyzed numerically.
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