Z-transform theory and FDTD stability

Kakhkhor Abdijalilov; Haim Grebel

doi:10.1109/TAP.2004.835267

Z-transform theory and FDTD stability

Kakhkhor Abdijalilov, Haim Grebel

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

10 Scopus citations

Abstract

In this paper we analyze the stability and the accuracy of finite-difference time-domain (FDTD) algorithms using Z-transform technique. Conventional time-staggered approximation of the time-derivative is replaced by a rational transfer function discrete-time filter. Then a generalized formulation of the FDTD time-stepping is presented. Finally, we show that it is possible significantly reduce the time-sampling error of FDTD algorithm by properly choosing the transfer function coefficients.

Original language	English (US)
Pages (from-to)	2950-2954
Number of pages	5
Journal	IEEE Transactions on Antennas and Propagation
Volume	52
Issue number	11
DOIs	https://doi.org/10.1109/TAP.2004.835267
State	Published - Nov 2004

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Keywords

Finite-difference time-domain (FDTD) methods
Z-transforms

Access to Document

10.1109/TAP.2004.835267

Cite this

@article{208e8102476c4ec288fef9e5b9ad2b62,

title = "Z-transform theory and FDTD stability",

abstract = "In this paper we analyze the stability and the accuracy of finite-difference time-domain (FDTD) algorithms using Z-transform technique. Conventional time-staggered approximation of the time-derivative is replaced by a rational transfer function discrete-time filter. Then a generalized formulation of the FDTD time-stepping is presented. Finally, we show that it is possible significantly reduce the time-sampling error of FDTD algorithm by properly choosing the transfer function coefficients.",

keywords = "Finite-difference time-domain (FDTD) methods, Z-transforms",

author = "Kakhkhor Abdijalilov and Haim Grebel",

year = "2004",

month = nov,

doi = "10.1109/TAP.2004.835267",

language = "English (US)",

volume = "52",

pages = "2950--2954",

journal = "IEEE Transactions on Antennas and Propagation",

issn = "0018-926X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "11",

}

TY - JOUR

T1 - Z-transform theory and FDTD stability

AU - Abdijalilov, Kakhkhor

AU - Grebel, Haim

PY - 2004/11

Y1 - 2004/11

N2 - In this paper we analyze the stability and the accuracy of finite-difference time-domain (FDTD) algorithms using Z-transform technique. Conventional time-staggered approximation of the time-derivative is replaced by a rational transfer function discrete-time filter. Then a generalized formulation of the FDTD time-stepping is presented. Finally, we show that it is possible significantly reduce the time-sampling error of FDTD algorithm by properly choosing the transfer function coefficients.

AB - In this paper we analyze the stability and the accuracy of finite-difference time-domain (FDTD) algorithms using Z-transform technique. Conventional time-staggered approximation of the time-derivative is replaced by a rational transfer function discrete-time filter. Then a generalized formulation of the FDTD time-stepping is presented. Finally, we show that it is possible significantly reduce the time-sampling error of FDTD algorithm by properly choosing the transfer function coefficients.

KW - Finite-difference time-domain (FDTD) methods

KW - Z-transforms

UR - http://www.scopus.com/inward/record.url?scp=9744265775&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=9744265775&partnerID=8YFLogxK

U2 - 10.1109/TAP.2004.835267

DO - 10.1109/TAP.2004.835267

M3 - Article

AN - SCOPUS:9744265775

SN - 0018-926X

VL - 52

SP - 2950

EP - 2954

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 11

ER -

Z-transform theory and FDTD stability

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this