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Transparent Boundary Condition for Oseen-Frank Model. Application for NLC Cells With Patterned Electrodes

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Transparent Boundary Condition for Oseen-Frank Model. Application for NLC Cells With Patterned Electrodes

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dc.contributor.author Orquín Serrano, Ismael es_ES
dc.contributor.author Vijande, J. es_ES
dc.contributor.author Villatoro Machuca, Francisco Román es_ES
dc.contributor.author Ferrando, Albert es_ES
dc.contributor.author Fernández de Córdoba Castellá, Pedro José es_ES
dc.contributor.author Michinel Alvarez, Humberto es_ES
dc.date.accessioned 2016-07-13T08:33:01Z
dc.date.available 2016-07-13T08:33:01Z
dc.date.issued 2015
dc.identifier.issn 1742-6588
dc.identifier.uri http://hdl.handle.net/10251/67528
dc.description.abstract In the present work a novel application of Transparent Boundary Conditions (TBC) to nematic liquid crystal cells (NLCC) with planar alignment and a patterned electrode is studied. This device is attracting great interest since it allows soliton steering by optically and externally induced waveguides. We employ the continuum Oseen-Frank theory to find the tilt and twist angle distributions in the cell under the one-constant approximation. The electric field distribution takes into account the whole 2D permittivity tensor for the transverse coordinates. Standard finite difference time domain methods together with an iterative method is applied to find an approximate solution to our coupled problem. A novel class of TBC is used to correctly define the boundary for both the distortion angle problem and the electric field distribution when using patterned electrodes. Thus, we achieve an important decrease of computational needs when solving this kind of problems and we are also capable of exploring weak anchoring conditions for NLCC. es_ES
dc.language Inglés es_ES
dc.publisher IOP Publishing es_ES
dc.relation.ispartof Journal of Physics: Conference Series es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject NEMATIC LIQUID-CRYSTALS es_ES
dc.subject SCHRODINGER-EQUATION es_ES
dc.subject SPATIAL SOLITONS es_ES
dc.subject SIMULATION es_ES
dc.subject CONSTANTS es_ES
dc.subject DIRECTOR es_ES
dc.subject WAVES es_ES
dc.subject LIGHT es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Transparent Boundary Condition for Oseen-Frank Model. Application for NLC Cells With Patterned Electrodes es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1088/1742-6596/605/1/012028
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Orquín Serrano, I.; Vijande, J.; Villatoro Machuca, FR.; Ferrando, A.; Fernández De Córdoba Castellá, PJ.; Michinel Alvarez, H. (2015). Transparent Boundary Condition for Oseen-Frank Model. Application for NLC Cells With Patterned Electrodes. Journal of Physics: Conference Series. 605:0120281-01202811. doi:10.1088/1742-6596/605/1/012028 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1088/1742-6596/605/1/012028 es_ES
dc.description.upvformatpinicio 0120281 es_ES
dc.description.upvformatpfin 01202811 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 605 es_ES
dc.relation.senia 297725 es_ES
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