Iterative addition of perpendicular kinetic effects to finite-difference simulation of radio-frequency heating*

In previous work we have demonstrated\footnote{D. L. Green and L. A. Berry, ``Iterative addition of parallel temperature effects to finite-difference simulation of radio-frequency wave propagation in plasmas,'' Comp. Phys. Comm., 185(3), pg. 736-743 (2014); doi:10.1016/j.cpc.2013.10.032} the iterative addition of parallel kinetic effects to finite-difference frequency-domain simulation of radio-frequency (RF) wave propagation in fusion relevant plasmas. Such iterative addition in configuration space bypasses several of the difficulties with traditional spectral methods for kinetic RF simulation when applied to problems that exhibit non-periodic geometries. Furthermore, the direct numerical integration of particle trajectories in real magnetic field geometries removes violations of the stationary phase approximation inherent in the spectral approach.\footnote{D. L. Green and L. A. Berry, ``Investigating stationary phase violations in kinetic RF simulation of real plasmas,'' http://meetings.aps.org/link/BAPS.2013.DPP.BP8.70} Here we extend this approach to include perpendicular kinetics.