FINDING AN INCLUSION IN A SHALLOW OCEAN USING A CANONICAL DOMAIN METHOD

摘要

We address the inverse problem of the identification of a passive three-dimensional impenetrable object in a shallow-water environment. The latter is assumed to have flat perfectly reflecting (sound-soft top and sound-hard bottom) boundaries and therefore acts as a guide for acoustic waves. These waves are employed to interrogate the object and the scattered acoustic wavefield is measured (actually simulated herein) on the surface of a (virtual) vertically-oriented cylinder (of finite or infinite radius, corresponding to near- or far-field measurements) fully enclosing the object. To avoid the so-called inverse crime when simulating measurements, the corresponding direct scattering problem is resolved by using a variant of a method due to Bruno and Reitich. The inverse problem is resolved using a variant of the canonical domain method.