Nonlinear inverse source problems of underwater acoustics (Q2785319)

Ocean studies by acoustic techniques call for solving inverse problems of underwater acoustics. Among those the inverse source problems are of particular interest. In this paper, the author is concerned with the theoretical study of acoustic nonlinear inverse source problems for an unbounded domain \(D\subset\mathbb{R}^3\) with a reflecting boundary \(S\) which models an oceanic waveguide. There are considered two problems. The first one consists in finding an unknown radiating system geometry (a simply connected domain \(\Omega\subset D\)), given the distribution of the source density and the outer potential of the radiated field. The second problem consists in finding a radiating system that generates such an additional acoustic field which minimizes (or suppresses) the primary sound field, created by a noising object, over some subdomain \(Q\) of the domain \(D\).