Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation Optics
With sub-wavelength scaled structures in a large system, the conventional finite-difference time-domain method can consume much computational resources since it includes both the spatial and temporal dimension in the scheme. In order to reduce the computational cost, we combine the novel methodology...
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| Format: | Article |
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MDPI AG
2018-07-01
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| Series: | Applied Sciences |
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| Online Access: | http://www.mdpi.com/2076-3417/8/7/1133 |
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| author | Jian-Shiung Hong Wei-Ming Cheng Meng-Chang Yang Ruei-Cheng Shiu Yung-Chiang Lan Kuan-Ren Chen |
| author_facet | Jian-Shiung Hong Wei-Ming Cheng Meng-Chang Yang Ruei-Cheng Shiu Yung-Chiang Lan Kuan-Ren Chen |
| author_sort | Jian-Shiung Hong |
| collection | DOAJ |
| description | With sub-wavelength scaled structures in a large system, the conventional finite-difference time-domain method can consume much computational resources since it includes both the spatial and temporal dimension in the scheme. In order to reduce the computational cost, we combine the novel methodology “transformation optics” in the simulation to map a physical coordinate with designated non-uniform grids to a uniform numerical coordinate. For a demonstration, the transmission spectrum through a sub-wavelength metallic aperture with one-dimensional and two-dimensional coordinate transformation is simulated, and compared with uniform-grid cases. We show that the proposed method is accurate, and the computational cost can be reduced remarkably to at most 5.31%, in comparison with the simulation of the finest uniform grids demonstrated. We are confident that it should be helpful to the simulation study in sub-wavelength optics due to its verified accuracy and efficiency. |
| first_indexed | 2024-12-20T20:09:05Z |
| format | Article |
| id | doaj.art-99c254b01e69478a99bc45b8cccf284f |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-20T20:09:05Z |
| publishDate | 2018-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-99c254b01e69478a99bc45b8cccf284f2022-12-21T19:27:51ZengMDPI AGApplied Sciences2076-34172018-07-0187113310.3390/app8071133app8071133Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation OpticsJian-Shiung Hong0Wei-Ming Cheng1Meng-Chang Yang2Ruei-Cheng Shiu3Yung-Chiang Lan4Kuan-Ren Chen5Department of Physics, National Cheng Kung University, 1 University Road, Tainan 70101, TaiwanInstitute of Space, Astrophysical and Plasma Sciences, National Cheng Kung University, 1 University Road, Tainan 70101, TaiwanDepartment of Physics, National Cheng Kung University, 1 University Road, Tainan 70101, TaiwanDepartment of Photonics, National Cheng Kung University, 1 University Road, Tainan 70101, TaiwanDepartment of Photonics, National Cheng Kung University, 1 University Road, Tainan 70101, TaiwanDepartment of Physics, National Cheng Kung University, 1 University Road, Tainan 70101, TaiwanWith sub-wavelength scaled structures in a large system, the conventional finite-difference time-domain method can consume much computational resources since it includes both the spatial and temporal dimension in the scheme. In order to reduce the computational cost, we combine the novel methodology “transformation optics” in the simulation to map a physical coordinate with designated non-uniform grids to a uniform numerical coordinate. For a demonstration, the transmission spectrum through a sub-wavelength metallic aperture with one-dimensional and two-dimensional coordinate transformation is simulated, and compared with uniform-grid cases. We show that the proposed method is accurate, and the computational cost can be reduced remarkably to at most 5.31%, in comparison with the simulation of the finest uniform grids demonstrated. We are confident that it should be helpful to the simulation study in sub-wavelength optics due to its verified accuracy and efficiency.http://www.mdpi.com/2076-3417/8/7/1133sub-wavelength opticscomputational electromagnetic methodsfinite-difference time-domain simulation with non-uniform gridstransformation optics |
| spellingShingle | Jian-Shiung Hong Wei-Ming Cheng Meng-Chang Yang Ruei-Cheng Shiu Yung-Chiang Lan Kuan-Ren Chen Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation Optics Applied Sciences sub-wavelength optics computational electromagnetic methods finite-difference time-domain simulation with non-uniform grids transformation optics |
| title | Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation Optics |
| title_full | Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation Optics |
| title_fullStr | Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation Optics |
| title_full_unstemmed | Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation Optics |
| title_short | Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation Optics |
| title_sort | enhancing efficiency of electromagnetic simulation in time domain with transformation optics |
| topic | sub-wavelength optics computational electromagnetic methods finite-difference time-domain simulation with non-uniform grids transformation optics |
| url | http://www.mdpi.com/2076-3417/8/7/1133 |
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