The Alfven continuum damping of the toroidal Alfven eigenmodes is expl
icitly formulated for a large aspect ratio force-free tokamak using an
alytic continuation. A set of jump conditions across the Alfven singul
arities are derived which have to be satisfied by the mode amplitudes.
The method is then applied to a simple model equilibrium. The charact
eristics of the modes and their damping are investigated. The method i
s expected to be generalizable to models with more complete plasma dyn
amics.