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  • A Polynomial Chaos Method for Dispersive Electromagnetics

    Creator:
    Gibson, Nathan L.
    Abstract:
    Electromagnetic wave propagation in complex dispersive media is governed by the time dependent Maxwell’s equations coupled to equations that describe the evolution of the induced macroscopic polarization. We consider “polydispersive” materials represented by distributions of dielectric parameters in a polarization model. The work focuses on a novel computational framework for...
    Resource Type:
    Article
    Full Text:
    polynomial chaos model (34) for an electromagnetic field propagating through a dispersive dielectric media

  • High-Order Staggered Finite Difference Methods for Maxwell's Equations in Dispersive Media

    Creator:
    Bokil, Vrushali A. and Gibson, Nathan L.
    Abstract:
    We study the stability properties of, and the phase error present in, several higher order (in space) staggered finite difference schemes for Maxwell's equations coupled with a Debye or Lorentz polarization model. We present a novel expansion of the symbol of finite difference approximations, of arbitrary (even) order, of the...
    Resource Type:
    Technical Report
    Full Text:
    . 1 Introduction The computational simulation of electromagnetic interrogation problems, for the