On the stability of the finite-difference time-domain modeling of lorentz media

Anastasios H. Panaretos; Rodolfo Diaz

doi:10.1109/LMWC.2011.2136374

On the stability of the finite-difference time-domain modeling of lorentz media

Anastasios H. Panaretos, Rodolfo Diaz

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The stability analysis is presented for the finite-difference time-domain modeling of a Lorentz dielectric. In particular this study is focused on the Young scheme that employs the polarizability and the polarization current for the representation of the Lorentz permittivity, and collocates temporally the magnetic field with the polarization current. The Routh criterion is employed for the stability limit determination. The necessary conditions that ensure stability are thoroughly derived for the general as well as for limiting cases.

Original language	English (US)
Article number	5767523
Pages (from-to)	283-285
Number of pages	3
Journal	IEEE Microwave and Wireless Components Letters
Volume	21
Issue number	6
DOIs	https://doi.org/10.1109/LMWC.2011.2136374
State	Published - Jun 2011

Keywords

Finite-difference time-domain (FDTD) method
Lorentz dielectric
Young scheme
stability

ASJC Scopus subject areas

Condensed Matter Physics
Electrical and Electronic Engineering

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10.1109/LMWC.2011.2136374

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title = "On the stability of the finite-difference time-domain modeling of lorentz media",

abstract = "The stability analysis is presented for the finite-difference time-domain modeling of a Lorentz dielectric. In particular this study is focused on the Young scheme that employs the polarizability and the polarization current for the representation of the Lorentz permittivity, and collocates temporally the magnetic field with the polarization current. The Routh criterion is employed for the stability limit determination. The necessary conditions that ensure stability are thoroughly derived for the general as well as for limiting cases.",

keywords = "Finite-difference time-domain (FDTD) method, Lorentz dielectric, Young scheme, stability",

author = "Panaretos, {Anastasios H.} and Rodolfo Diaz",

note = "Funding Information: Manuscript received February 04, 2011; accepted March 16, 2011. Date of publication May 16, 2011; date of current version June 02, 2011. This work was supported by the National Science Foundation (NSF). The authors are with the Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706 USA (e-mail: tassos@asu.edu; rudydiaz@asu.edu). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/LMWC.2011.2136374",

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AB - The stability analysis is presented for the finite-difference time-domain modeling of a Lorentz dielectric. In particular this study is focused on the Young scheme that employs the polarizability and the polarization current for the representation of the Lorentz permittivity, and collocates temporally the magnetic field with the polarization current. The Routh criterion is employed for the stability limit determination. The necessary conditions that ensure stability are thoroughly derived for the general as well as for limiting cases.

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On the stability of the finite-difference time-domain modeling of lorentz media

Abstract

Keywords

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