Identification, by the intersecting canonical domain method, of the size, shape and depth of a soft body of revolution located within an acoustic waveguide

The Rayleigh hypothesis is employed to solve the forward problem of scattering of a known, arbitrary acoustic wave from a body of revolution immersed in a shallow body of water. The acoustic wavefields obtained in this way are then employed as simulated data for the inverse problem of the determination of the (unknown) size, shape and depth of the immersed body, which is known to be acoustically soft, axisymmetric in shape and located on the vertical axis of a Cartesian reference system within the shallow-water waveguide. This fully 3D inverse problem is solved by the intersecting canonical domain, using multifrequency scattered field data, for two types of body: a non-convex (indented) spindle and a conical seamount. (Some figures in this article are in colour only in the electronic version; see www.iop.org)