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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
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| Online Access: | https://hdl.handle.net/10356/137131 |
| _version_ | 1811676295643267072 |
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| author | Heh, Ding Yu Tan, Eng Leong |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Heh, Ding Yu Tan, Eng Leong |
| author_sort | Heh, Ding Yu |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T02:19:12Z |
| format | Journal Article |
| id | ntu-10356/137131 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:19:12Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-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 |
| 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 |
| title | 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_short | Dispersion analysis of FDTD schemes for doubly lossy media |
| title_sort | dispersion analysis of fdtd schemes for doubly lossy media |
| topic | Engineering::Electrical and electronic engineering Dispersion Analysis Double Lossy Media |
| url | https://hdl.handle.net/10356/137131 |
| work_keys_str_mv | AT hehdingyu dispersionanalysisoffdtdschemesfordoublylossymedia AT tanengleong dispersionanalysisoffdtdschemesfordoublylossymedia |