Dispersion analysis of FDTD schemes for doubly lossy media

This paper presents the 3-D dispersion analysis of finitedifference time-domain (FDTD) schemes for doubly lossy media, where both electric and magnetic conductivities are nonzero. Among the FDTD schemes presented are time-average (TA), time-forward (TF), time-backward (TB) and exponential time diffe...

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Main Authors: Heh, Ding Yu, Tan, Eng Leong
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2020
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Online Access:https://hdl.handle.net/10356/137131
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1371312020-03-02T02:22:07Z Dispersion analysis of FDTD schemes for doubly lossy media Heh, Ding Yu Tan, Eng Leong School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Dispersion Analysis Double Lossy Media This paper presents the 3-D dispersion analysis of finitedifference time-domain (FDTD) schemes for doubly lossy media, where both electric and magnetic conductivities are nonzero. Among the FDTD schemes presented are time-average (TA), time-forward (TF), time-backward (TB) and exponential time differencing (ETD). It is first shown that, unlike in electrically lossy media, the attenuation constant in doubly lossy media can be larger than its phase constant. This further calls for careful choice of cell size such that both wavelength and skin depth of the doubly lossy media are properly resolved. From the dispersion analysis, TF generally displays higher phase velocity and attenuation errors due to its first-order temporal accuracy nature compared to second-order ETD and TA. Although both have second-order temporal accuracy, ETD has generally lower phase velocity and attenuation errors than TA. This may be attributed to its closer resemblance to the solution of first-order differential equation. Numerical FDTD simulations in 1-D and 3-D further confirm these findings. Published version 2020-03-02T02:17:11Z 2020-03-02T02:17:11Z 2009 Journal Article Heh, D. Y., & Tan, E. L. (2009). Dispersion analysis of FDTD schemes for doubly lossy media. Progress In Electromagnetics Research B, 17, 327-342. doi:10.2528/pierb09082802 1937-6472 https://hdl.handle.net/10356/137131 10.2528/PIERB09082802 2-s2.0-70849125575 17 327 342 en Progress In Electromagnetics Research B © 2010 EMW Publishing. All Rights Reserved. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Dispersion Analysis
Double Lossy Media
spellingShingle Engineering::Electrical and electronic engineering
Dispersion Analysis
Double Lossy Media
Heh, Ding Yu
Tan, Eng Leong
Dispersion analysis of FDTD schemes for doubly lossy media
description This paper presents the 3-D dispersion analysis of finitedifference time-domain (FDTD) schemes for doubly lossy media, where both electric and magnetic conductivities are nonzero. Among the FDTD schemes presented are time-average (TA), time-forward (TF), time-backward (TB) and exponential time differencing (ETD). It is first shown that, unlike in electrically lossy media, the attenuation constant in doubly lossy media can be larger than its phase constant. This further calls for careful choice of cell size such that both wavelength and skin depth of the doubly lossy media are properly resolved. From the dispersion analysis, TF generally displays higher phase velocity and attenuation errors due to its first-order temporal accuracy nature compared to second-order ETD and TA. Although both have second-order temporal accuracy, ETD has generally lower phase velocity and attenuation errors than TA. This may be attributed to its closer resemblance to the solution of first-order differential equation. Numerical FDTD simulations in 1-D and 3-D further confirm these findings.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Heh, Ding Yu
Tan, Eng Leong
format Article
author Heh, Ding Yu
Tan, Eng Leong
author_sort Heh, Ding Yu
title Dispersion analysis of FDTD schemes for doubly lossy media
title_short Dispersion analysis of FDTD schemes for doubly lossy media
title_full Dispersion analysis of FDTD schemes for doubly lossy media
title_fullStr Dispersion analysis of FDTD schemes for doubly lossy media
title_full_unstemmed Dispersion analysis of FDTD schemes for doubly lossy media
title_sort dispersion analysis of fdtd schemes for doubly lossy media
publishDate 2020
url https://hdl.handle.net/10356/137131
_version_ 1681033938237128704