The HIE-FDTD Method for Simulating Dispersion Media Represented by Drude, Debye, and Lorentz Models
The hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) method is a weakly conditionally stable finite-difference time-domain (FDTD) method that has attracted much attention in recent years. However due to the dispersion media such as water, soil, plasma, biological tissue, optical mat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/13/7/1180 |
| _version_ | 1797607321311903744 |
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| author | Juan Chen Chunhui Mou |
| author_facet | Juan Chen Chunhui Mou |
| author_sort | Juan Chen |
| collection | DOAJ |
| description | The hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) method is a weakly conditionally stable finite-difference time-domain (FDTD) method that has attracted much attention in recent years. However due to the dispersion media such as water, soil, plasma, biological tissue, optical materials, etc., the application of the HIE-FDTD method is still relatively limited. Therefore, in this paper, the HIE-FDTD method was extended to solve typical dispersion media by combining the Drude, Debye, and Lorentz models with hybrid implicit–explicit difference techniques. The advantage of the presented method is that it only needs to solve a set of equations, and then different dispersion media including water, soil, plasma, biological tissue, and optical materials can be analyzed. The convolutional perfectly matched layer (CPML) boundary condition was introduced to truncate the computational domain. Numerical examples were used to validate the absorbing performance of the CPML boundary and prove the accuracy and computational efficiency of the dispersion HIE-FDTD method proposed in this paper. The simulated results showed that the dispersion HIE-FDTD method could not only obtain accurate calculation results, but also had a much higher computational efficiency than the finite-difference time-domain (FDTD) method. |
| first_indexed | 2024-03-11T05:28:29Z |
| format | Article |
| id | doaj.art-2a43989208224645984133a65588bc37 |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-11T05:28:29Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-2a43989208224645984133a65588bc372023-11-17T17:16:51ZengMDPI AGNanomaterials2079-49912023-03-01137118010.3390/nano13071180The HIE-FDTD Method for Simulating Dispersion Media Represented by Drude, Debye, and Lorentz ModelsJuan Chen0Chunhui Mou1School of Information and Communications Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Information and Communications Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaThe hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) method is a weakly conditionally stable finite-difference time-domain (FDTD) method that has attracted much attention in recent years. However due to the dispersion media such as water, soil, plasma, biological tissue, optical materials, etc., the application of the HIE-FDTD method is still relatively limited. Therefore, in this paper, the HIE-FDTD method was extended to solve typical dispersion media by combining the Drude, Debye, and Lorentz models with hybrid implicit–explicit difference techniques. The advantage of the presented method is that it only needs to solve a set of equations, and then different dispersion media including water, soil, plasma, biological tissue, and optical materials can be analyzed. The convolutional perfectly matched layer (CPML) boundary condition was introduced to truncate the computational domain. Numerical examples were used to validate the absorbing performance of the CPML boundary and prove the accuracy and computational efficiency of the dispersion HIE-FDTD method proposed in this paper. The simulated results showed that the dispersion HIE-FDTD method could not only obtain accurate calculation results, but also had a much higher computational efficiency than the finite-difference time-domain (FDTD) method.https://www.mdpi.com/2079-4991/13/7/1180convolutional perfectly matched layer (CPML)dispersion mediahybrid implicit–explicit finite-difference time-domain (HIE-FDTD) |
| spellingShingle | Juan Chen Chunhui Mou The HIE-FDTD Method for Simulating Dispersion Media Represented by Drude, Debye, and Lorentz Models Nanomaterials convolutional perfectly matched layer (CPML) dispersion media hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) |
| title | The HIE-FDTD Method for Simulating Dispersion Media Represented by Drude, Debye, and Lorentz Models |
| title_full | The HIE-FDTD Method for Simulating Dispersion Media Represented by Drude, Debye, and Lorentz Models |
| title_fullStr | The HIE-FDTD Method for Simulating Dispersion Media Represented by Drude, Debye, and Lorentz Models |
| title_full_unstemmed | The HIE-FDTD Method for Simulating Dispersion Media Represented by Drude, Debye, and Lorentz Models |
| title_short | The HIE-FDTD Method for Simulating Dispersion Media Represented by Drude, Debye, and Lorentz Models |
| title_sort | hie fdtd method for simulating dispersion media represented by drude debye and lorentz models |
| topic | convolutional perfectly matched layer (CPML) dispersion media hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) |
| url | https://www.mdpi.com/2079-4991/13/7/1180 |
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