Dirichlet-to Neumann techniques for the plazma-waves in a slot diod

A. Mikhailova, B. Pavlov, V. Ryzhii


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.

Quantum well, plasma current, admittance

Math Review Classification
Primary 81V99

Last Updated
28 March 05


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