Multi-Scale Multi-Domain Hybrid Finite Element Modeling of Light Propagation
We revisit finite element method of modeling multi-scale photonic/electromagnetic devices via the proposed beam basis function, in combination with domain decompositions. Our approach ensures mathematical and physical consistency, can also handle multi-scale computational tasks efficiently with the...
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| Format: | Article |
| Language: | English |
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Chinese Institute of Electronics
2024-12-01
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| Series: | Electromagnetic Science |
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| Online Access: | https://www.emscience.org/en/article/doi/10.23919/emsci.2024.0023 |
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| _version_ | 1841561164960497664 |
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| author | Jingwei Wang Zhanwen Wang Lida Liu Yuntian Chen |
| author_facet | Jingwei Wang Zhanwen Wang Lida Liu Yuntian Chen |
| author_sort | Jingwei Wang |
| collection | DOAJ |
| description | We revisit finite element method of modeling multi-scale photonic/electromagnetic devices via the proposed beam basis function, in combination with domain decompositions. Our approach ensures mathematical and physical consistency, can also handle multi-scale computational tasks efficiently with the assistance of the damping block-Jacobi iterative solver. By implementing the first-order Robin transmission condition at the interfaces between neighboring subdomains and introducing the dual “current” variables, we can significantly reduce the computational burden and communication data volume during the iterative solving process. The theoretical foundation and detailed implementation procedures are presented, accompanied with two representative examples. The first example is a refractive-diffractive hybrid optical system with feature size contrast up to 104, while the second example is the free surface optical system wherein the geometric ray tracing algorithm is inadequate. The obtained results for the two examples show excellent agreement with the standard finite element method (standard FEM) with significantly reducing the number of meshes required for computation and memory usages to nearly one-fifth. Since the computational time is inversely proportional to the number of decomposed subdomains (N) under the parallel computing configuration, the computational time in our work is approximately reduced to \begin{document}${1}/{3N}$\end{document} of that using standard FEM for the two examples. |
| format | Article |
| id | doaj-art-1efcb671c63e48cd81be5d876ab94e49 |
| institution | Kabale University |
| issn | 2836-9440 2836-8282 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Chinese Institute of Electronics |
| record_format | Article |
| series | Electromagnetic Science |
| spelling | doaj-art-1efcb671c63e48cd81be5d876ab94e492025-01-03T06:26:17ZengChinese Institute of ElectronicsElectromagnetic Science2836-94402836-82822024-12-012411010.23919/emsci.2024.0023EMS20240023Multi-Scale Multi-Domain Hybrid Finite Element Modeling of Light PropagationJingwei Wang0Zhanwen Wang1Lida Liu2Yuntian Chen3School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, ChinaWe revisit finite element method of modeling multi-scale photonic/electromagnetic devices via the proposed beam basis function, in combination with domain decompositions. Our approach ensures mathematical and physical consistency, can also handle multi-scale computational tasks efficiently with the assistance of the damping block-Jacobi iterative solver. By implementing the first-order Robin transmission condition at the interfaces between neighboring subdomains and introducing the dual “current” variables, we can significantly reduce the computational burden and communication data volume during the iterative solving process. The theoretical foundation and detailed implementation procedures are presented, accompanied with two representative examples. The first example is a refractive-diffractive hybrid optical system with feature size contrast up to 104, while the second example is the free surface optical system wherein the geometric ray tracing algorithm is inadequate. The obtained results for the two examples show excellent agreement with the standard finite element method (standard FEM) with significantly reducing the number of meshes required for computation and memory usages to nearly one-fifth. Since the computational time is inversely proportional to the number of decomposed subdomains (N) under the parallel computing configuration, the computational time in our work is approximately reduced to \begin{document}${1}/{3N}$\end{document} of that using standard FEM for the two examples.https://www.emscience.org/en/article/doi/10.23919/emsci.2024.0023multi-scale modelingfinite element methoddomain decomposition methodslow varying beam envelope |
| spellingShingle | Jingwei Wang Zhanwen Wang Lida Liu Yuntian Chen Multi-Scale Multi-Domain Hybrid Finite Element Modeling of Light Propagation Electromagnetic Science multi-scale modeling finite element method domain decomposition method slow varying beam envelope |
| title | Multi-Scale Multi-Domain Hybrid Finite Element Modeling of Light Propagation |
| title_full | Multi-Scale Multi-Domain Hybrid Finite Element Modeling of Light Propagation |
| title_fullStr | Multi-Scale Multi-Domain Hybrid Finite Element Modeling of Light Propagation |
| title_full_unstemmed | Multi-Scale Multi-Domain Hybrid Finite Element Modeling of Light Propagation |
| title_short | Multi-Scale Multi-Domain Hybrid Finite Element Modeling of Light Propagation |
| title_sort | multi scale multi domain hybrid finite element modeling of light propagation |
| topic | multi-scale modeling finite element method domain decomposition method slow varying beam envelope |
| url | https://www.emscience.org/en/article/doi/10.23919/emsci.2024.0023 |
| work_keys_str_mv | AT jingweiwang multiscalemultidomainhybridfiniteelementmodelingoflightpropagation AT zhanwenwang multiscalemultidomainhybridfiniteelementmodelingoflightpropagation AT lidaliu multiscalemultidomainhybridfiniteelementmodelingoflightpropagation AT yuntianchen multiscalemultidomainhybridfiniteelementmodelingoflightpropagation |