Helsingin yliopisto


Helsingin yliopiston verkkojulkaisut

University of Helsinki, Helsinki 2006

Direct and Inverse Scattering for Beltrami Fields

Simopekka Vänskä

Doctoral dissertation, December 2006.
University of Helsinki, Faculty of Science, Department of Mathematics and Statistics.

We consider an obstacle scattering problem for linear Beltrami fields. A vector field is a linear Beltrami field if the curl of the field is a constant times itself. We study the obstacles that are of Neumann type, that is, the normal component of the total field vanishes on the boundary of the obstacle. We prove the unique solvability for the corresponding exterior boundary value problem, in other words, the direct obstacle scattering model. For the inverse obstacle scattering problem, we deduce the formulas that are needed to apply the singular sources method. The numerical examples are computed for the direct scattering problem and for the inverse scattering problem.

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Last updated 24.11.2006

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