Propagation Operator Based Boundary Condition for Finite Element Analysis
A new efficient boundary condition of finite element method (FEM) by using propagation operator is proposed. In this method, input, and output ports are terminated on their own boundaries instead of using perfectly matched layer (PML) which requires expanding the computational window. Moreover, this...
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| Format: | Article |
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IEEE
2020-01-01
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| Series: | IEEE Photonics Journal |
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| Online Access: | https://ieeexplore.ieee.org/document/9165059/ |
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| author | Keita Morimoto Akito Iguchi Yasuhide Tsuji |
| author_facet | Keita Morimoto Akito Iguchi Yasuhide Tsuji |
| author_sort | Keita Morimoto |
| collection | DOAJ |
| description | A new efficient boundary condition of finite element method (FEM) by using propagation operator is proposed. In this method, input, and output ports are terminated on their own boundaries instead of using perfectly matched layer (PML) which requires expanding the computational window. Moreover, this boundary condition can consider all modes including radiation modes without mode expansion. The propagation operator is efficiently calculated by Denman-Beavers iteration (DBI). The electromagnetic field on the POM boundary can be accurately propagated outside the boundary by using the propagation operator. In addition, we present a technique based on scattering operator method which can reduce the computational complexity of FEM. Three numerical results show that the present scheme is more accurate, and stable than conventional approximate boundary conditions such as using Padé approximation in both TE, and TM modes. |
| format | Article |
| id | doaj-art-06795d6534d242d98d4078dfd95d5c62 |
| institution | Kabale University |
| issn | 1943-0655 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj-art-06795d6534d242d98d4078dfd95d5c622025-08-20T03:33:21ZengIEEEIEEE Photonics Journal1943-06552020-01-0112411310.1109/JPHOT.2020.30154989165059Propagation Operator Based Boundary Condition for Finite Element AnalysisKeita Morimoto0https://orcid.org/0000-0003-1798-1696Akito Iguchi1https://orcid.org/0000-0002-5210-7243Yasuhide Tsuji2https://orcid.org/0000-0001-5213-6522Division of Information, and Electronic Engineering, Muroran Institute of Technology, Muroran, JapanDivision of Information, and Electronic Engineering, Muroran Institute of Technology, Muroran, JapanDivision of Information, and Electronic Engineering, Muroran Institute of Technology, Muroran, JapanA new efficient boundary condition of finite element method (FEM) by using propagation operator is proposed. In this method, input, and output ports are terminated on their own boundaries instead of using perfectly matched layer (PML) which requires expanding the computational window. Moreover, this boundary condition can consider all modes including radiation modes without mode expansion. The propagation operator is efficiently calculated by Denman-Beavers iteration (DBI). The electromagnetic field on the POM boundary can be accurately propagated outside the boundary by using the propagation operator. In addition, we present a technique based on scattering operator method which can reduce the computational complexity of FEM. Three numerical results show that the present scheme is more accurate, and stable than conventional approximate boundary conditions such as using Padé approximation in both TE, and TM modes.https://ieeexplore.ieee.org/document/9165059/Finite element method (FEM)propagation operatorboundary conditionDenman-Beavers iterationperfectly matched layerscattering operator |
| spellingShingle | Keita Morimoto Akito Iguchi Yasuhide Tsuji Propagation Operator Based Boundary Condition for Finite Element Analysis IEEE Photonics Journal Finite element method (FEM) propagation operator boundary condition Denman-Beavers iteration perfectly matched layer scattering operator |
| title | Propagation Operator Based Boundary Condition for Finite Element Analysis |
| title_full | Propagation Operator Based Boundary Condition for Finite Element Analysis |
| title_fullStr | Propagation Operator Based Boundary Condition for Finite Element Analysis |
| title_full_unstemmed | Propagation Operator Based Boundary Condition for Finite Element Analysis |
| title_short | Propagation Operator Based Boundary Condition for Finite Element Analysis |
| title_sort | propagation operator based boundary condition for finite element analysis |
| topic | Finite element method (FEM) propagation operator boundary condition Denman-Beavers iteration perfectly matched layer scattering operator |
| url | https://ieeexplore.ieee.org/document/9165059/ |
| work_keys_str_mv | AT keitamorimoto propagationoperatorbasedboundaryconditionforfiniteelementanalysis AT akitoiguchi propagationoperatorbasedboundaryconditionforfiniteelementanalysis AT yasuhidetsuji propagationoperatorbasedboundaryconditionforfiniteelementanalysis |