Skin Effect in Anisotropic Plasmas and Resonance Excitation of Electron-Cyclotron Waves. I. Theory

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Abstract
The complete electromagnetic field has been calculated within a homogeneous infinite two‐dimensional plasma sheath with a perpendicularly applied static magnetic field. The plasma is produced by a high‐frequency electromagnetic field at the surface. When the electron‐cyclotron frequency is greater than the frequency of the applied high‐frequency electromagnetic field at the surface, the refractive index of the medium becomes real for the right‐hand polarized wave and one has an increased penetration of high‐frequency energy into the interior of the plasma. It is also possible for the refractive index to reach a value such that the thickness of the plasma sheath is half a wavelength. In this case, resonance effects should be expected for the electron‐cyclotron wave which propagates in the plasma.