Mathematics Colloquium: Fernando Guevara Vasquez (University of Utah)

Thursday, May 3 2012 at 3:30 PM

Location: TLC 032

Mathematics Colloquium, featuring Fernando Guevara Vasquez (University of Utah), titled, "Active exterior cloaking for the Helmholtz equation," will occur May 3 at 3:30 p.m. in TLC 032.

ABSTRACT: We present a way of using active sources to hide objects from a known incident field. The active sources cancel out the incident field in a region while having a small far field. Since very little waves reach objects in the cloaked region, the scattered field is greatly diminished, making the object practically invisible. We recall how to construct such a cloak using a single and double layer potential on a surface (Green's formulas) and then show how the same effect can be achieved using a few multipolar sources that do not completely surround the cloaked region.