Parameter Identification for a Dispersive Dielectric in 2D Electromagnetics: Forward and Inverse Methodology With Statistical Considerations
Abstract
We present methodology for obtaining forward solutions to Maxwell's equations in two dimensions, in the presence of a Debye medium. Perfectly Matched Layer (PML) absorbing boundary conditions are used to absorb incoming energy at the finite boundaries. A time-domain, PDE formulation is presented, and a finite difference time-domain (FDTD) algorithm is used to obtain numerical solutions. A least squares formulation of the inverse problem results from a careful consideration of the noise model for data generation. The inverse problem is solved with varying levels of noise in the data, and a frequency domain analysis is given that provides an explanation of the results. The results and analysis motivate strategies for solving the inverse problem that decrease computational cost. Finally, a result from the statistical theory of large samples is used to obtain estimates of the variability in parameter estimates that is due to the variability in the noisy data.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 16, 2003
- Accession Number
- ADA446721
Entities
People
- H. Thomas Banks
- J. M. Bardsley
Organizations
- North Carolina State University