Integral dielectric kernel implementation to model RF heating in toroidal plasmas

As discussed in Ref. [1], recent theoretical and numerical treatments [2, 3] have sought to express the plasma radiofrequency (RF) response as a nonlocal integral operator formulated in configuration space. Analytical expressions of the integral kernels are available for Maxwellian particle species. This approach enables (i) direct use of the finite element method (FEM) to model wave propagation and absorption in hot inhomogeneous fusion plasmas, (ii) local mesh-refinement, (iii) provides RF field representations suited to address tokamak geometry, and (iv) allows straightforward connection between plasma and antenna models. The present contribution focuses on the concrete application of this method, in an incremental way, developing codes and exploiting finite element codes/libraries.