Optimization method of searching parameters of an inhomogeneous liquid medium in the acoustic cloaking problem

The main necessary condition of existence of the cloaking shells is the condition of anisotropy of the liquid medium filling the shell. A natural alternative to this approach is the replacement of the initial problem on the exact cloaking of material bodies for the model of acoustics of an anisotropic medium with the problem on the approximate cloaking for the model of acoustics of an isotropic inhomogeneous medium. There are several ways of replacing the problem on exact cloaking with the problem on approximate cloaking developed in a number of studies. Further, on the basis of its analysis, the sufficient conditions are established on the initial data providing the uniqueness and stability of optimum solutions with respect to small perturbations of both the quality functional and one of the functions included in the initial boundary value problem.