A general analytical solution for the converted power from the fast magnetosonic wave to an ion Bernstein wave in a magnetized plasma with an exponential steeply increasing density profile is given in the closed form. The solution covers both the conversion at the lower‐hybrid resonance and the conversion through the density gradient for small parallel wave numbers. As an application, the conversion coefficients at the scrape‐off layer plasma are estimated in the context of ion cyclotron heating of a tokamak plasma.
Heikkinen, J., & Alava, M. (1992). Analytical solution for the mode conversion equations with steep exponential density profiles. Physics of Fluids A: Fluid Dynamics, 4(1), 9-12. https://doi.org/10.1063/1.860410