Simple and effective finite difference time domain (FDTD) formulations are presented for modeling multi-pole linear dispersive electromagnetic applications. In the proposed formulations, the Maxwell's curl equations and the dispersive domain constitutive relations are cast into a set of first order differential matrix system and the fields update equations can be extracted directly from the matrix exponential approximation. The formulations have the advantage of simplicity as it allows modeling linear multi-pole electrically and/or magnetically dispersive materials in the same manner and also can be easily incorporated with the perfectly matched layer (PML) absorbing boundary conditions (ABCs) to model open region problems. Numerical examples are included to demonstrate the validity of the proposed formulations.
5th Mosharaka International Conference on Communications, Propagation, and Electronics (MIC-CPE 2012)
Congress
2012 Global Congress on Communications, Propagation, and Electronics (GC-CPE 2012), 3-5 February 2012, Istanbul, Turkey
Pages
1-5
Topics
Finite Difference Time Domain Methods Finite Element Analysis
ISSN
2227-331X
DOI
BibTeX
@inproceedings{72CPE2012,
title={Exponential evolution FDTD operator for general dispersive electromagnetic applications},
author={Omar Ramadan},
booktitle={2012 Global Congress on Communications, Propagation, and Electronics (GC-CPE 2012)},
year={2012},
pages={1-5},
doi={}},
organization={Mosharaka for Research and Studies}
}