Microwave Attenuation by Cyclotron Resonance in a Slightly Ionized Gas

The Boltzmann equation is solved for the distribution function of electrons in a static uniform magnetic field B 0 and a high frequency electric field. The tensor of dielectric constant and the propagation constant k are obtained from this solution. The calculations are made by neglecting the square of the amplitude of electric field for two cases: (1) k // B 0 , (2) k ⊥ B 0 . The attenuation spectrum for the case (2) is not a Lorentzian type and its maximum occurs at the microwave frequency {aligned} ω{}({ωc}²+{ωₚ}²+{νₘ}²)1/2. {aligned} If the electron density in high, the attenuation spectrum differs from a Lorentzian type even for the case (1).