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

我们研究了嵌入各向异性背景介质的共振点散射体集合中标量波的安德森定位。对于中等强度的单轴各向异性，如果在引入各向异性时各向异性张量的行列式保持等于 1，则发现迁移边缘和局部化转变的临界指数不受各向异性的影响。局部模式具有各向异性的空间形状，尽管它们的各向异性比纯几何考虑所预期的要弱。发现寿命最长的模式是最各向异性的，并且它们的各向异性随着无序介质的大小而增加。