TY - JOUR
T1 - A Polynomial Chaos Method for Dispersive Electromagnetics
AU - Nathan L. Gibson
JO - Communications in Computational Physics
VL - 5
SP - 1234
EP - 1263
PY - 2018
DA - 2018/04
SN - 18
DO - http://doi.org/10.4208/cicp.230714.100315a
UR - https://global-sci.org/intro/article_detail/cicp/11067.html
KW - 
AB - <p style="text-align: justify;">Electromagnetic wave propagation in complex dispersive media is governed
by the time dependent Maxwell&#39;s equations coupled to equations that describe the
evolution of the induced macroscopic polarization. We consider &quot;polydispersive&quot; materials
represented by distributions of dielectric parameters in a polarization model.
The work focuses on a novel computational framework for such problems involving
Polynomial Chaos Expansions as a method to improve the modeling accuracy of the
Debye model and allow for easy simulation using the Finite Difference Time Domain
(FDTD) method. Stability and dispersion analyses are performed for the approach
utilizing the second order Yee scheme in two spatial dimensions.</p>