Mathematics of Super-resolution in Resonant Media

Friday, February 17, 2017 - 10:15am - 11:05am
Keller 3-180
Hai Zhang (Hong Kong University of Science and Technology)
We develop a mathematical theory to explain the mechanism of super-resolution in resonant media which consists of sub-wavelength resonators. Examples includes: Helmholtz resonators, plasmonic particles, and bubbles. For the media consists of small finite number of resonators, we show that super-resolution is due to sub-wavelength propagating modes; for the case of large number of resonators, we derive an effective media theory and show that super-resolution is due to the effective high contrast in the wave speed.