An iterative method to include spatial dispersion for waves in nonuniform plasmas using wavelet decomposition
Pablo Vallejos, Thomas J. Johnson, Torbjörn Hellsten · Journal of Physics Conference Series · 2016
A novel method for solving wave equations with spatial dispersion is presented, suitable for applications to ion cyclotron resonance heating. The method splits the wave operator into a dispersive and a non-dispersive part. The latter can be inverted with e.g. finite element methods. The spatial dispersion is evaluated using a wavelet representation of the dielectric kernel and added by means of iteration. The method has been successfully tested on a low frequency kinetic Alfven wave with second order Larmor radius effects in a nonuniform plasma slab.