Inverse acoustic scattering problem is a very important class of inverse problems in mathematical physics. Assuming that there is a cavity with compact support in an inhomogeneous anisotropic medium. Inverse scattering problem considered in this thesis is to determine the shape of the cavity using the observed scattered data on some cavity surface(or curve). First, we derive the factorization method for solving the inverse scattering problem, which states that the range of the near-field operator can illustrate strictly the characterization of the support for the cavity.Secondly, the realization of the factorization method is presented. |