Oscillations of Degenerate Plasma in Layer with Specular - Accommodative   Boundary Conditions
  The linearized problem of plasma oscillations in layer (particularly, in thin films) in external longitudinal alternating electric field is solved analytically. Specular - accommodative 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 layer is calculated. 
A.V. Latyshev and A.A.Yushkanov
math-ph math.MP physics.plasm-ph