Landau's Problem of Degenerate Plasma Oscillations in Slab with Specular Boundary Conditions

Details Landau's Problem of Degenerate Plasma Oscillations in Slab with Specular Boundary Conditions Landau's Problem of Degenerate Plasma Oscillations in Slab with Specular Boundary Conditions

2011-03-20

arxiv.org/abs/1103.3833v1

Physics

Mathematical Physics

34 pages, 2 figures

Scientific paper

In the present paper the linearized problem of plasma oscillations in slab (particularly, thin films) in external longitudinal alternating electric field is solved analytically. Specular boundary conditions of electron reflection from the plasma boundary are considered. Coefficients of continuous and discrete spectra of the problem are found, and electron distribution function on the plasma boundary and electric field are expressed in explicit form. Absorption of energy of electric field in slab is calculated.

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