Abstract:
We consider wide bandwidth electromagnetic pulse interrogation problems for the determination of
dielectric response parameters in complex dispersive materials. We couple Maxwell's equations with an
auxiliary ODE modeling dielectric polarization. A problem of particular interest is to identify parameters
in a standard polarization model (e.g., Debye or Lorentz) using time-domain electric eld data. A larger
class of materials (e.g., anomalously dispersive media) can be represented by assuming distributions of
parameters (e.g., relaxation times). We present results from an inverse problem for the relaxation time
distribution based on a least squares cost functional and utilizing generalized Polynomial Chaos in the forward problem.
