The Determination of an Obstacle from its Scattering Cross Section
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Thu, 23/02/2012 16:00 |
Brian Sleeman (Leeds University) |
Industrial and Applied Mathematics Seminar  |
DH 1st floor SR |
| The inverse acoustic obstacle scattering problem, in its most general form, seeks to determine the nature of an unknown scatterer from knowl- edge of its far eld or radiation pattern. The problem which is the main concern here is: If the scattering cross section, i.e the absolute value of the radiation pattern, of an unknown scatterer is known determine its shape. In this talk we explore the problem from a number of points of view. These include questions of uniqueness, methods of solution including it- erative methods, the Minkowski problem and level set methods. We con- clude by looking at the problem of acoustically invisible gateways and its connections with cloaking | |||