Analytic Solution for Second-Harmonic Gyroresonant Absorption and Mode Conversion

Abstract
An entirely analytic treatment for second-harmonic mode conversion is presented, which uses the wave-phase-space xk space) method. Explicit expressions are derived for the coefficients of transmission, reflection, conversion (magnetosonic wave to ion-Bernstein wave), and absorption. A conservation law for wave energy flux in phase space is also presented.