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This study treats the system of Vlasov and Maxwell equations for the Fourier transform in space and time of a plasma referred to Cartesian coordinates, with the coordinate z parallel to the uniform equilibrium magnetic field and with the equilibrium plasma density dependent on eta.x, where eta is a parameter. The k(y) component of the wave vector is equal to zero, whereas k(z) is different from zero. When the interaction of ordinary and extraordinary waves is neglected, the Fourier transform of the electric field of the ordinary waves obeys a homogeneous integral equation with principal part integrals, which is solved in the particular case of weak absorption and eta smaller than the vacuum wave vector, but no limitations on the ratio of the wavelength to the Larmor radius. The reflection and transmission coefficients and the total energy absorption are given in this approximation, whereas the energy conservation theorem for the reflection and transmission coefficients in an absorption-free plasma is derived for every value of eta without any explicit knowledge of the solutions. Finally, a general equation for the eigenvalues which does not require complex analysis and knowledge of all solutions of the dispersion relation is given.

Additional information

Authors: CROCI R, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Report: IPP 6/296 EN (1990) 19 pp.
Availability: Available from Max-Planck-Institut für Plasmaphysik, 8046 Garching bei München (DE)
Record Number: 199110048 / Last updated on: 1994-12-02
Original language: en
Available languages: en