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Direct/Inverse Guided Acoustic Obstacle Scattering Problems
Optimization| Speaker: | Miao-jung Yvonne Ou, University of Minnesota |
| Location: | 693 Kerr |
| Start time: | Tue, Feb 25 2003, 4:10PM |
Description
In this talk, I will give an overview of time-harmonic
acoustic scattering (the Helmholtz equation) in a waveguide and its
corresponding inverse problem in which the shape of the scatterer is
the unknown. Mathematical relations between the direct problem
and its inverse problem will be presented through the proof of a
uniqueness theorem of an inverse problem. An inversion scheme with its
numerical results, which does not use nonlinear optimization methods
and is relatively independent of the geometry and physical properties
of the scatterer, will also be given in this talk. If time permits, I
will sketch the proof of a uniqueness theorem of the direct obstacle
scattering in a multi-layer waveguide.