Mathematics of Super-resolution in Resonant Media

Abstract

The speaker and his group develop a mathematical theory to explain the mechanism of super-resolution in resonant media which consists of sub-wavelength resonators. Examples include Helmholtz resonators, plasmonic particles, and bubbles. For the media consisting of small finite number of resonators, they show that super-resolution is due to sub-wavelength propagating modes; for the case of large number of resonators, they derive an effective media theory and show that super-resolution is due to the effective high contrast in the wave speed.

About the speaker

Prof. Zhang Hai obtained his PhD in Mathematics at Michigan State University in 2013. He worked as a Postdoctoral Research Fellow at Ecole Normale Superieure in Paris before joining the Hong Kong University of Science and Technology (HKUST) in 2015. He is currently an Assistant Professor in Mathematics at HKUST.

Prof. Zhang’s research interests include Applied Math, Inverse Problems, Wave Propagation and Scattering, Plasmonic Material and Bio-medical Imaging.

About the program

For more information, please refer to the program website http://iasprogram.ust.hk/inverseproblems for details.