Abstract
The authors consider the following inverse problem for scattering of time-harmonic waves by an impenetrable obstacle. Given data obtained from the scattered field at infinity, they determine the location of the boundary of the obstacle. To solve the forward scattering problem, they use the T matrix method, or null field approach. The ill-posedness of the inverse problem is discussed. To solve the inverse problem, an optimal control, or 'data fitting', approach is used, and stable approximate solutions are obtained using a technique known as the penalised likelihood method. Results of a numerical study are presented, showing the effects on the accuracy of the inversion of different types of far field data, various incident fields, and random error in the data. In two dimensions, several different obstacle shapes are considered. An example for an axially symmetric obstacle in three dimensions is also presented.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
