Analysis of exponential time-differencing for fdtd in lossy dielectrics

Peter G. Petropoulos

doi:10.1109/8.585755

Analysis of exponential time-differencing for fdtd in lossy dielectrics

Peter G. Petropoulos

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

48 Scopus citations

Abstract

We determine the stability condition and analyze the accuracy of the exponential and centered time-differencing schemes for finite-difference time-domain (FDTD) in an isotropic, homogeneous lossy dielectric with electric and magnetic conductivities σ and σ*, respectively. We show that these schemes are equivalent and determine that, for accuracy, both schemes must be used with a time step that finely resolves the electric and magnetic conduction current relaxation time scales. The implications of these results for perfectly matched layer (PML)type absorbing boundary conditions are discussed.

Original language	English (US)
Pages (from-to)	1054-1057
Number of pages	4
Journal	IEEE Transactions on Antennas and Propagation
Volume	45
Issue number	6
DOIs	https://doi.org/10.1109/8.585755
State	Published - 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Keywords

Fdtd methods

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10.1109/8.585755

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title = "Analysis of exponential time-differencing for fdtd in lossy dielectrics",

abstract = "We determine the stability condition and analyze the accuracy of the exponential and centered time-differencing schemes for finite-difference time-domain (FDTD) in an isotropic, homogeneous lossy dielectric with electric and magnetic conductivities σ and σ*, respectively. We show that these schemes are equivalent and determine that, for accuracy, both schemes must be used with a time step that finely resolves the electric and magnetic conduction current relaxation time scales. The implications of these results for perfectly matched layer (PML)type absorbing boundary conditions are discussed.",

keywords = "Fdtd methods",

author = "Petropoulos, {Peter G.}",

note = "Funding Information: Manuscript received August 12, 1996; revised February 3, 1997. This work was supported by AFOSR Grant F49620-95-1-0014. The author is with the Department of Mathematics, Southern Methodist University, Dallas, TX 75275 USA. Publisher Item Identifier S 0018-926X(97)04252-X.",

year = "1997",

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language = "English (US)",

volume = "45",

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journal = "IEEE Transactions on Antennas and Propagation",

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T1 - Analysis of exponential time-differencing for fdtd in lossy dielectrics

AU - Petropoulos, Peter G.

N1 - Funding Information: Manuscript received August 12, 1996; revised February 3, 1997. This work was supported by AFOSR Grant F49620-95-1-0014. The author is with the Department of Mathematics, Southern Methodist University, Dallas, TX 75275 USA. Publisher Item Identifier S 0018-926X(97)04252-X.

PY - 1997

Y1 - 1997

N2 - We determine the stability condition and analyze the accuracy of the exponential and centered time-differencing schemes for finite-difference time-domain (FDTD) in an isotropic, homogeneous lossy dielectric with electric and magnetic conductivities σ and σ*, respectively. We show that these schemes are equivalent and determine that, for accuracy, both schemes must be used with a time step that finely resolves the electric and magnetic conduction current relaxation time scales. The implications of these results for perfectly matched layer (PML)type absorbing boundary conditions are discussed.

AB - We determine the stability condition and analyze the accuracy of the exponential and centered time-differencing schemes for finite-difference time-domain (FDTD) in an isotropic, homogeneous lossy dielectric with electric and magnetic conductivities σ and σ*, respectively. We show that these schemes are equivalent and determine that, for accuracy, both schemes must be used with a time step that finely resolves the electric and magnetic conduction current relaxation time scales. The implications of these results for perfectly matched layer (PML)type absorbing boundary conditions are discussed.

KW - Fdtd methods

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JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 6

ER -

Analysis of exponential time-differencing for fdtd in lossy dielectrics

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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