FDTD/Flux-Corrected Transport Model for Highly Non-Linear Dielectrics

Author

Greenwood, Andrew D. ; Christlieb, Andrew J. ; Hoff, Brad W. ; Heidger, Susan L.

Author_Institution

Directed Energy Directorate, Air Force Res. Lab., Kirtland AFB, NM, USA

Volume

62

Issue

8

fYear

2014

fDate

Aug. 2014

Firstpage

4365

Lastpage

4368

Abstract

Non-linear ferro-electric materials exhibit electromagnetic shock-forming properties which can be a challenge for electromagnetic modeling algorithms such as finite-difference time-domain (FDTD). If the material response time is sufficiently fast, the shock fronts steepen until the Nyquist sampling criteria is violated, and the resulting aliasing leads to spurious grid oscillations. A flux corrected transport (FCT) algorithm is adapted for use on the staggered FDTD mesh and effectively removes the spurious oscillations. Numerical results demonstrate the effectiveness of the algorithm.

Keywords

ferroelectric materials; finite difference time-domain analysis; Nyquist sampling criteria; electromagnetic modeling algorithms; electromagnetic shock-forming properties; finite-difference time-domain; flux-corrected transport model; highly nonlinear dielectrics; material response time; nonlinear ferro-electric materials; shock fronts; spurious grid oscillations; staggered FDTD mesh; Finite difference methods; Materials; Mathematical model; Oscillators; Shock waves; Time factors; Time-domain analysis; Finite-difference time-domain (FDTD); flux corrected transport; nonlinear;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2014.2322908

Filename

6813597