Modification of the Alfvén wave spectrum by pellet injection

Alfv?n eigenmodes driven by energetic particles are routinely observed in tokamak plasmas. These modes consist of poloidal harmonics of shear Alfv?n waves coupled by inhomogeneity in the magnetic field. Further coupling is introduced by 3D inhomogeneities in the ion density during the assimilation of injected pellets. This additional coupling modifies the Alfv?n continuum and discrete eigenmode spectrum. The frequencies of Alfv?n eigenmodes drop dramatically when a pellet is injected in JET. From these observations, information about the changes in the ion density caused by a pellet can be inferred. To use Alfv?n eigenmodes for MHD spectroscopy of pellet injected plasmas, the 3D MHD codes Stellgap and AE3D were generalised to incorporate 3D density profiles. A model for the expansion of the ionised pellet plasmoid along a magnetic field line was derived from the fluid equations. Thereby, the time evolution of the Alfv?n eigenfrequency is reproduced. By comparing the numerical frequency drop of a toroidal Alfv?n eigenmode (TAE) to experimental observations, the initial ion density of a cigar-shaped ablation region of length 4cm is estimated to be nalt;subagt;*alt;/subagt; = 6.8x10alt;supagt;22alt;/supagt; malt;supagt;-3alt;/supagt; at the TAE location (r/a?0.75). The frequency sweeping of an Alfv?n eigenmode ends when the ion density homogenises poloidally. Modelling suggests that the time for poloidal homogenisation of the ion density at the TAE position is ?alt;subagt;halt;/subagt;=18?4 ms for inboard pellet injection, and ?alt;subagt;halt;/subagt;=26?3 ms for outboard pellet injection. By reproducing the frequency evolution of the elliptical Alfv?n eigenmode (EAE), the initial ion density at the EAE location (r/a?0.9) can be estimated to be nalt;subagt;*alt;/subagt; = 4.8x10alt;supagt;22alt;/supagt; malt;supagt;-3alt;/supagt;. Poloidal homogenisation of the ion density takes 2.7 times longer at the EAE location than at the TAE location for both inboard and outboard pellet injection.