Subwavelength Resonances: From Super-resolution to Metamaterials
Abstract
In this lecture, the speaker will review recent results on subwavelength resonances. His main focus is on developing a mathematical and computational framework for their analysis. By characterizing and exploiting subwavelength resonances in a variety of situations, he constructs a unified theory of super-focusing of waves, double-negative metamaterials, and controlling wave propagation at the subwavelength scale. Super-resolution and metamaterials are usually studied within the context of different approaches. Remarkably, as will be shown in this lecture, they owe their origin to the same underlying physical mechanism, namely, wave interaction with a subwavelength resonator.
About the speaker
Prof. Habib Ammari received his PhD in Applied Mathematics from the Ecole Polytechnique in 1995. He was a researcher at Ecole Polytechnique from 1995 to 1997, and at the French National Center for Scientific Research (CNRS) from 1997 to 2006. He became a Director of Research at the CNRS, and was affiliated with Ecole Polytechnique from 2006 to 2010 and Ecole Normale Superieure from 2010 to 2015. He then moved to the ETH Zurich and is currently the Professor of Applied Mathematics.
Prof. Ammari’s research focuses on wave propagation phenomena in complex media, mathematical modelling in photonics and phononics, and mathematical biomedical imaging. He has published more than two hundred research papers, eight high profile research-oriented books and edited eight books on contemporary issues in applied mathematics.
Prof. Ammari was elected a Member of the European Academy of Sciences (2018) and of the Tunisian Academy of Sciences, Letters and Arts (2015). He also received the Khwarizmi International Award in Basic Sciences (2015) and the Kuwait Prize in Basic Sciences (2013).
