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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > High Frequency Wave Propagation 2005 > Vladimir Oliker

High Frequency Wave Propagation

CSIC Building (#406), Seminar Room 4122.
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High Frequency Wave Propagation and Discrete Geodesics


Vladimir Oliker

Department of Mathematics and Computer Science at Emory University

Abstract:  The propagation path from a source to a field point in presence of an obstacle, such as an aircraft, can be very complex. In particular, the contact set of the path with the obstacle is a piece of geodesic in the metric of the obstacle. If the propagation path is known then the high-frequency contribution to the field (due to that path) can be calculated by "gluing" together local scattering properties of the obstacle along the path. By contrast, determination of propagation paths is a global problem in geometry. In my talk I plan to discuss a computational approach to a solution of this problem and integration of this solution with high frequency electromagnetics methods.