Hamiltonian description of low frequency waves propagation and absorption in magnetically confined plasmas

Magnetically confined fusion plasmas feature a large variety of waves. In the Ion Cyclotron Range of Frequencies (ICRF), radiofirequency waves arc routinely used for plasma heating and non-inductive current-drive, whereas unstable modes in the Alfven range of frequencies are observed in ongoing experiments and are expected to play a crucial role in future devices. In experiments where Alfven and ICRF waves co-exist, a strong interplay between them is observed via the intermediary of the wave accelerated fast ions. A Hamiltonian description of the resonating particles is particularly well adapted to describe accurately their interaction with ICRF and Alfven waves. It provides a convenient framework for self-consistent calculations of the wave propagation and the kinetics of resonating plasma species. In the wave-field calculation, this formulation allows to account for non-local effects caused by wide fast particle orbits (e.g. wave accelerated fast ions and alpha particles). We present here the progress made in the development of the full-wave code EVE, based on a Hamiltonian description of the particle dynamics in terms of action-angle variables. The formalism of EVE, the numerical aspects, as well as some simulation results obtained with the code are discussed.