Identifying of the refractive index for the acoustic equation at fixed frequency

Abstract

In this paper we determine a formula for calculating the refractive index $\mathbf{n}$ for the acoustic equation from the partial Dirichlet to Neumann map(DN) associated to $\mathbf{n}$. We apply these results to identify locations and values of small volume perturbations of this refractive index at fixed frequency $\omega$.

07 pages

References in corpus (1)

• Recovery of small electromagnetic inhomogeneities from boundary measurements on part of the boundary