Abstract:
We suggest to calculate the amplitudes of the plasma waves in a slot-diod in a presence of few governing electrodes, via reduction of the linearized hydrodynamic equation to the second order differential equation with an operator weight, defined by the Dirichlet-to-Neumann map. In case of the straight slot this equation admitts further reduction to an integral equation with a trace-class integral operator. The eigenvalues of it are calculated via finite-dimensional approximation of the corresponding determinant.
