### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

COLLOQUIUM

FEBRUARY 7, 2020

**Speaker: **
Dionisios Margetis, Department of Mathematics and Institute for Physical Science & Technology,
University of Maryland, College Park

**Title: ***Plasmonics on two-dimensional materials:
Dispersion and homogenization
*

**Abstract: **
The advent of two-dimensional materials such as graphene, black phosphorus and
transition metal dichalcogenides with a wide range of optical and electronic
properties offers the promise of excellent efficiency in light-matter
interaction at the nanoscale.
These systems may allow for the propagation of fine-scale electromagnetic
waves, called surface plasmon-polaritons (SPPs), which defy the typical
diffraction limit.

In this talk, I will discuss recent theoretical progress in understanding how
the material geometry, e.g., the presence of edges as well as the formation of
layered structures in the presence of material anisotropy, may affect the SPP
dispersion. To this end, I will formulate and analyze physically inspired
boundary value problems for the time-harmonic Maxwell equations. If time
permits, I will discuss extensions of the theory coming from coupling
electromagnetism with hydrodynamic equations for the 2D electron system.

**Time:** Friday, February 7, 2020, 3:30-4:20 p.m.

**Place:** Exploratory Hall, room 4106

**Refreshments** will be served at 3:00 p.m.

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491