epshteyn (at) math.utah.edu)
September 18, Joint Stochastics/Applied Math/Math Biology Seminar, Note Time 3:00 - 4:00 pm, Room TBA
Speaker: Peter Bossaerts, Finance Department, University of Utah
Speaker: Tatyana Sorokina, Department of Mathematics, Towson University
Speaker: Graeme Milton, Department of Mathematics, University of Utah
Title: Superlensing and the searchlight effect in hyperbolic media
Speaker: Maxence Cassier, Department of Mathematics, University of Utah
Title: Analysis of two time-dependent wave propagation phenomena: 1) Space-time focusing on unknown scatterers; 2) Limiting amplitude principle in a medium composed of a dielectric and a metamaterial.
Abstract:This talk consists of two independent parts related to my Ph.D research thema. In the first one, we are motivated by this challenging question: in a propagative medium which contains several unknown scatterers, how can one generate a wave that focuses selectively on one scatterer not only in space, but also in time? In other words, we look for a wave that "hits hard at the right spot". The technique proposed here is based on DORT method (French acronym for Decomposition of the Time Reversal Operator) which leads to space focusing properties in the frequency domain. The second part is devoted to a transmission problem between a dielectric and a metamaterial. The question we consider here is the following : does the limiting amplitude principle hold in such a medium? This principle defines the stationary regime as the large time asymptotic behavior of a system subject to a periodic excitation. An answer is proposed here in the case of an infinite two-layered medium composed of a dielectric and a particular metamaterial (Drude model).
Speaker: Elena Cherkaev, Department of Mathematics, University of Utah
epshteyn (at) math.utah.edu).
Past lectures: Spring 2014, Fall 2013, Spring 2013, Fall 2012, Spring 2012, Fall 2011, Spring 2011, Fall 2010, Spring 2010, Fall 2009, Spring 2009, Fall 2008, Spring 2008, Fall 2007, Spring 2007, Fall 2006, Spring 2006, Fall 2005, Spring 2005, Fall 2004, Spring 2004, Fall 2003, Spring 2003, Fall 2002, Spring 2002, Fall 2001, Spring 2001, Fall 2000, Spring 2000, Fall 1999, Spring 1999, Fall 1998, Spring 1998, Winter 1998, Fall 1997, Spring 1997, Winter 1997, Fall 1996, Spring 1996, Winter 1996, Fall 1995.