Parametric instability of surface waves at the second harmonic of ion cyclotron frequency

Simple analytical expressions for the second harmonic of ion cyclotron frequency (SWCF) frequencies, their damping rates due to collisions between plasma particles and interactions between plasma particles and plasma interface, increments of the parametrical instabilities are found. Increments of the SWCF parametric instabilities are slightly dependent on the transverse dimensions of the plasma layer and they strongly decrease with the SWCF wavelength. The obtained results can be used in controlled fusion researches in order to avoid undesirable regime of the plasma periphery heating in fusion devices during