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04/02/03 Colloquium
DR. MIAO-JUNG YVONNE OU
INSTITUTE FOR MATHEMATICS AND ITS APPLICATIONS
UNIVERSITY OF MINNESOTA
INSTITUTE FOR MATHEMATICS AND ITS APPLICATIONS
UNIVERSITY OF MINNESOTA
Inverse-Homogenization and Direct/Inverse Acoustic Object Scattering Problems
Abstract: In the first part of this talk, I will introduce the idea of the Inverse-Homogenization Method and how it can be applied to the indirect measurement of the effective parameters of poroelastic materials by using acoustic waves. The second part of the talk will be on the direct/inverse time-harmonic acoustic object scattering problems of a guided ocean. I will use some model problems to illustrate the relation between the well-posedness of the direct problems and the uniqueness issue of the corresponding inverse problem. An inversion scheme for wave numbers in the resonance region and some numerical results will be presented at the end of the talk.