Abstract
Plasma waves in two-dimensional electron channels with nontrivial geometry and governing electrodes are described by the hydrodynamical equations combined with the Poisson equation for the self-consistent electric potential. If the amplitudes of the oscillations of the velocity, the concentration, and the potential are much smaller than the stationary values of these variables, then the hydrodynamical equation for oscillations can be linearized and transformed to the wave equation on a two-dimensional network. We consider the scattering problem for the wave equation and develop a semi-analytic method to calculate the transmission coefficients through the junction. The formulas for the transmission coefficients have resonance character and can be used in design of manipulated 2D-networks of plasma channels.
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