Finding an inclusion in a shallow ocean using the ICBA method

Abstract

In this paper we continue our investigation of the undetermined object problem in an acoustic wave guide. We consider objects which are deformed cylinders which may be represented, in terms of cylindrical coordinates, as Here δ is considered to be a small parameter. In order not to commit the inverse crime by using the same method for generating the field as in computing the image (the inversion procedure) we generate the acoustic field by using a perturbation method. The inverse imaging is done by the intersecting canonical domain method. Numerous experiments indicate that this method performs the inverse imaging well.

Keywords:

• Scattering
• inverse problems
• intersecting canonical domains
• perturbations

AMS:

• 35QB0
• 73D50