Wepresentamultilevelfastmultipolesolutionmethodforvolumeintegralequationsdealingwithscatteringfromarbitrarilyshapedinhomogeneousdielectrics.Thesolutionaccuracy,convergence,computertimeandmemorysavingsofthemethodaredemonstrated.Previousworkshaveemployedthemultilevelfastmultipolemethodforimp