Anisotropy of localized states in an anisotropic disordered medium

We study Anderson localization of a scalar wave in an ensemble resonant point scatterers embedded anisotropic background medium. For uniaxial anisotropy moderate strength, the mobility edges and critical exponent transition are found to be unaffected by provided that determinant tensor is kept equal one upon introducing anisotropy. Localized modes have spatial shapes although their weaker than expected from purely geometric considerations. The with longest lifetimes most increases size disordered