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Applied Math Seminar: Junshan Lin (Auburn)
November 21, 2022 @ 4:15 pm - 5:15 pm
Title: Scattering Resonances Through Subwavelength Holes and Their Applications in Imaging and Sensing
Abstract:
The so-called extraordinary optical transmission (EOT) through metallic nanoholes has triggered extensive research in modern plasmonics and their applications in bio-sensing, imaging, etc. This talk aims to provide quantitative mathematical theories to understand a variety of resonances that induce the EOT phenomenon and present mathematical studies for their applications in imaging and sensing.
In the first part of the talk, based upon the layer potential technique, asymptotic analysis and the homogenization theory, I will present rigorous mathematical analysis to investigate the scattering resonances for several typical two-dimensional structures, including Fabry-Perot resonance, Fano resonance, etc. In the second part of the talk, mathematical studies for their applications in sensing and super-resolution imaging will be discussed. I will focus on the resonance frequency sensitivity analysis and how one can achieve super-resolution by using plasmonic nanohole structures.