Abstract
Slow wave propagation in 1D non-uniform plasma with tilted magnetic field with respect of direction of non-uniformity is considered. The second order differential equation describing the slow wave is derived from the Maxwell’s equations. The analysis of this equation reveals a singular point for the solutions, which could be associated with the Lower Hybrid Resonance. The condition of the resonance is found to be dependent on the tilting angle. Among two WKB solutions only one is singular. The wave vector behaves as 1/x in LHR point for the singular solution. The amplitude diverges only for x-component of the electric field. The solution describes propagating wave both to the left and to the right of the LHR point. The analytical solution obtained in the vicinity of the LHR has a special feature of having drop of its amplitude in the LHR point because of residual damping of the wave inside the LHR location. The energy flux also makes drop down there.
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