Fall 2015
Colloquia are held on Fridays at 11:30 a.m. in Cullimore Lecture Hall II, unless noted otherwise. Refreshments are served at 11:30 am. For questions about the seminar schedule, please contact Yassine Boubendir.
Date: September 25, 2015
Speaker: Robert Lipton
Department of Mathematics,
Louisiana State University
Title: "Novel Dispersion from Metamaterials"
Abstract:
A compelling aspect of metamaterials research is the quest for new sub-wavelength microstructures that deliver both negative bulk dielectric constant and bulk magnetic perme- ability across prescribed frequency intervals. In this talk we discuss the use of high contrast materials in combination with plasmonic materials for generating double negative effective properties and propagation of backward waves. We introduce a power series method for ef- ficient representation of solutions of Maxwells Equations inside metamaterial crystals. The power series is used as a tool to identify new sub-wavelength microstructures for double negative behavior at optical frequencies. The leading order terms in the power series for the dispersion relation explicitly show that double negative properties depend on special geometrically induced plasmon and Mie resonances intrinsic to the crystal structure. We show how to control double negative behavior by tuning the plasmon and Mie resonance frequencies. This provides a basis for the rational shape design of metamaterial crystals for control of double negative behavior across prescribed frequency ranges.