Incorporating the Havriliak-Negami dielectric model in the FD-TD method

Document Type

Article

Publication Date

1-1-2011

Abstract

We derive and analyze an efficient algorithm to incorporate the anomalously dispersive Havriliak-Negami dielectric model of induced polarization in the Finite-difference time-domain (FD-TD) method. Our algorithm implements this dielectric model, which in the time-domain involves fractional derivatives and fractional differential operators, with a preset error over the desired computational time interval [0,Tcomp] and correctly takes into account the singularity at t=0+ of the corresponding time-domain dielectric susceptibility. The overall algorithm is shown to be second-order accurate in space and time, and to obey the standard FD-TD stability condition. Numerical experiments confirm our analysis. © 2011 Elsevier Inc.

Identifier

79952901155 (Scopus)

Publication Title

Journal of Computational Physics

External Full Text Location

https://doi.org/10.1016/j.jcp.2011.02.012

e-ISSN

10902716

ISSN

00219991

First Page

3884

Last Page

3899

Issue

10

Volume

230

Grant

0905473

Fund Ref

National Science Foundation

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