Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines
The unconditionally stable multiple one-dimensional alternating direction implicit finite-difference time-domain (M1-D ADI-FDTD) method for coupled transmission lines is presented. The differential equations for coupled transmission lines are formulated in compact matrix form. Proper 4 × 4 split mat...
| 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/10356/137065 |
| _version_ | 1811682454725984256 |
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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 | The unconditionally stable multiple one-dimensional alternating direction implicit finite-difference time-domain (M1-D ADI-FDTD) method for coupled transmission lines is presented. The differential equations for coupled transmission lines are formulated in compact matrix form. Proper 4 × 4 split matrices are introduced, which feature unconditional stability for the ADI procedures. These matrices also lead to update equations with the left-hand sides involving tridiagonal matrices that can be solved efficiently. The update equations of the M1-D ADI-FDTD method are given, which comprise one implicit and three explicit updates in each procedure. The analytical proof of unconditional stability is also provided based on the von Neumann method. The M1-D ADI-FDTD method allows quick simulation and visualization of electromagnetic fields everywhere along the coupled transmission lines. To demonstrate the usefulness of the M1-D ADI-FDTD method, various coupled line structures for filter and filtering antenna are analyzed using the method. |
| first_indexed | 2024-10-01T03:57:06Z |
| format | Journal Article |
| id | ntu-10356/137065 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:57:06Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1370652020-02-18T05:57:21Z Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines Heh, Ding Yu Tan, Eng Leong School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Alternating Direction Implicit Finite-difference Timedomain Coupled Transmission Lines The unconditionally stable multiple one-dimensional alternating direction implicit finite-difference time-domain (M1-D ADI-FDTD) method for coupled transmission lines is presented. The differential equations for coupled transmission lines are formulated in compact matrix form. Proper 4 × 4 split matrices are introduced, which feature unconditional stability for the ADI procedures. These matrices also lead to update equations with the left-hand sides involving tridiagonal matrices that can be solved efficiently. The update equations of the M1-D ADI-FDTD method are given, which comprise one implicit and three explicit updates in each procedure. The analytical proof of unconditional stability is also provided based on the von Neumann method. The M1-D ADI-FDTD method allows quick simulation and visualization of electromagnetic fields everywhere along the coupled transmission lines. To demonstrate the usefulness of the M1-D ADI-FDTD method, various coupled line structures for filter and filtering antenna are analyzed using the method. MOE (Min. of Education, S’pore) Accepted version 2020-02-18T05:57:21Z 2020-02-18T05:57:21Z 2018 Journal Article Heh, D. Y., & Tan, E. L. (2018). Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines. IEEE Transactions on Antennas and Propagation, 66(12), 7488-7492. doi:10.1109/TAP.2018.2872724 0018-926X https://hdl.handle.net/10356/137065 10.1109/TAP.2018.2872724 2-s2.0-85054376279 12 66 7488 7492 en IEEE Transactions on Antennas and Propagation © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/TAP.2018.2872724 application/pdf |
| spellingShingle | Engineering::Electrical and electronic engineering Alternating Direction Implicit Finite-difference Timedomain Coupled Transmission Lines Heh, Ding Yu Tan, Eng Leong Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines |
| title | Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines |
| title_full | Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines |
| title_fullStr | Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines |
| title_full_unstemmed | Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines |
| title_short | Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines |
| title_sort | unconditionally stable multiple one dimensional adi fdtd method for coupled transmission lines |
| topic | Engineering::Electrical and electronic engineering Alternating Direction Implicit Finite-difference Timedomain Coupled Transmission Lines |
| url | https://hdl.handle.net/10356/137065 |
| work_keys_str_mv | AT hehdingyu unconditionallystablemultipleonedimensionaladifdtdmethodforcoupledtransmissionlines AT tanengleong unconditionallystablemultipleonedimensionaladifdtdmethodforcoupledtransmissionlines |