Comprehensive three-dimensional dynamic modeling of liquid crystal devices using finite element method
In this paper, a comprehensive open-source three-dimensional (3-D) finite-element method (FEM) is proposed to model the dynamic behavior of liquid crystal (LC) directors in complex structures. This dynamic model is based on interactively iterating the vector representation of director profile and po...
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| Veröffentlicht in: | Journal of display technology 2005-12, Vol.1 (2), p.194-206 |
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| creator | Zhibing Ge Wu, T.X. Lu, R. Xinyu Zhu Qi Hong Wu, S.-T. |
| description | In this paper, a comprehensive open-source three-dimensional (3-D) finite-element method (FEM) is proposed to model the dynamic behavior of liquid crystal (LC) directors in complex structures. This dynamic model is based on interactively iterating the vector representation of director profile and potential distribution. The director update formulations are derived in detail from the Galerkin's approach of FEM, including the weak form approach to simplify the highly nonlinear iteration equation. The potential update formulations are derived from the Ritz's approach of FEM. A 2-D in-plane switching (IPS) structure is used as an example to compare our approach with the FEM based commercial software (2dimMOS). The results from both programs show an excellent agreement. Furthermore, our method also agrees well with the finite-difference method (FDM) in studying a 3-D super IPS LC cell with zigzag electrodes. |
| doi_str_mv | 10.1109/JDT.2005.858885 |
| format | Article |
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This dynamic model is based on interactively iterating the vector representation of director profile and potential distribution. The director update formulations are derived in detail from the Galerkin's approach of FEM, including the weak form approach to simplify the highly nonlinear iteration equation. The potential update formulations are derived from the Ritz's approach of FEM. A 2-D in-plane switching (IPS) structure is used as an example to compare our approach with the FEM based commercial software (2dimMOS). The results from both programs show an excellent agreement. Furthermore, our method also agrees well with the finite-difference method (FDM) in studying a 3-D super IPS LC cell with zigzag electrodes.</description><identifier>ISSN: 1551-319X</identifier><identifier>EISSN: 1558-9323</identifier><identifier>DOI: 10.1109/JDT.2005.858885</identifier><identifier>CODEN: IJDTAL</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Deformable models ; Devices ; Electrodes ; Finite difference methods ; Finite element method ; Finite element methods ; Liquid crystal devices ; Liquid crystal displays ; Liquid crystals ; Mathematical analysis ; Mathematical models ; modeling ; Nonlinear equations ; Nonlinear optics ; Open source software ; Source code ; Sparse matrices ; Three dimensional</subject><ispartof>Journal of display technology, 2005-12, Vol.1 (2), p.194-206</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2005</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c418t-a941c1c95fafa8832d1a56d7050d6b87501099d1dfaca19ce7dc71f45630a8223</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1545782$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>315,781,785,797,27926,27927,54760</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1545782$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Zhibing Ge</creatorcontrib><creatorcontrib>Wu, T.X.</creatorcontrib><creatorcontrib>Lu, R.</creatorcontrib><creatorcontrib>Xinyu Zhu</creatorcontrib><creatorcontrib>Qi Hong</creatorcontrib><creatorcontrib>Wu, S.-T.</creatorcontrib><title>Comprehensive three-dimensional dynamic modeling of liquid crystal devices using finite element method</title><title>Journal of display technology</title><addtitle>JDT</addtitle><description>In this paper, a comprehensive open-source three-dimensional (3-D) finite-element method (FEM) is proposed to model the dynamic behavior of liquid crystal (LC) directors in complex structures. This dynamic model is based on interactively iterating the vector representation of director profile and potential distribution. The director update formulations are derived in detail from the Galerkin's approach of FEM, including the weak form approach to simplify the highly nonlinear iteration equation. The potential update formulations are derived from the Ritz's approach of FEM. A 2-D in-plane switching (IPS) structure is used as an example to compare our approach with the FEM based commercial software (2dimMOS). The results from both programs show an excellent agreement. Furthermore, our method also agrees well with the finite-difference method (FDM) in studying a 3-D super IPS LC cell with zigzag electrodes.</description><subject>Deformable models</subject><subject>Devices</subject><subject>Electrodes</subject><subject>Finite difference methods</subject><subject>Finite element method</subject><subject>Finite element methods</subject><subject>Liquid crystal devices</subject><subject>Liquid crystal displays</subject><subject>Liquid crystals</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>modeling</subject><subject>Nonlinear equations</subject><subject>Nonlinear optics</subject><subject>Open source software</subject><subject>Source code</subject><subject>Sparse matrices</subject><subject>Three dimensional</subject><issn>1551-319X</issn><issn>1558-9323</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kb1PwzAQxSMEEqUwM7BYDIglrT_ixB5R-VYlliKxRcY-U1dJ3NpJpf73JC0SEgPT3el-70l3L0kuCZ4QguX09X4xoRjzieBCCH6UjAjnIpWMsuN9T1JG5MdpchbjCmMmcpGPEjvz9TrAEprotoDaZQBIjauH2TeqQmbXqNppVHsDlWu-kLeocpvOGaTDLrYDAlunIaIuDnvrGtcCggp6kxbV0C69OU9OrKoiXPzUcfL--LCYPafzt6eX2d081RkRbapkRjTRkltllRCMGqJ4bgrMsck_RcFxf6k0xFilFZEaCqMLYjOeM6wEpWyc3Bx818FvOohtWbuooapUA76LJS2kzCgvevD2X5BgInPOcjyg13_Qle9C_5tYSopJTou93_QA6eBjDGDLdXC1CrveqRzyKft8yiGf8pBPr7g6KBwA_NI844Wg7BuShozZ</recordid><startdate>20051201</startdate><enddate>20051201</enddate><creator>Zhibing Ge</creator><creator>Wu, T.X.</creator><creator>Lu, R.</creator><creator>Xinyu Zhu</creator><creator>Qi Hong</creator><creator>Wu, S.-T.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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This dynamic model is based on interactively iterating the vector representation of director profile and potential distribution. The director update formulations are derived in detail from the Galerkin's approach of FEM, including the weak form approach to simplify the highly nonlinear iteration equation. The potential update formulations are derived from the Ritz's approach of FEM. A 2-D in-plane switching (IPS) structure is used as an example to compare our approach with the FEM based commercial software (2dimMOS). The results from both programs show an excellent agreement. Furthermore, our method also agrees well with the finite-difference method (FDM) in studying a 3-D super IPS LC cell with zigzag electrodes.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/JDT.2005.858885</doi><tpages>13</tpages></addata></record> |
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| subjects | Deformable models Devices Electrodes Finite difference methods Finite element method Finite element methods Liquid crystal devices Liquid crystal displays Liquid crystals Mathematical analysis Mathematical models modeling Nonlinear equations Nonlinear optics Open source software Source code Sparse matrices Three dimensional |
| title | Comprehensive three-dimensional dynamic modeling of liquid crystal devices using finite element method |
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