Abstract
In the current work we propose an efficient and accurate numerical approach to the problem of electrical characterization of Nematic Liquid Crystal (N-LC) microstructures under the influence of low-frequency AC electric fields. N-LCs are anisotropic and their electrical properties are determined by the directors' tilt angles which in turn depend on the applied electric field. Therefore, the problem is governed by a coupled system of two-dimensional PDEs: A Poisson equation with variable coefficients for the electric potential and a highly nonlinear second-order equation for the tilt angle of the directors. Both equations are solved using finite-difference schemes with relaxation and the results are found to be in good agreement with the literature. Various 2-D geometries are considered and it is shown that a low DC voltage is sufficient to tune the average refractive index of the N-LC structures under consideration.
Original language | English |
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Title of host publication | Application of Mathematics in Technical and Natural Sciences - 5th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2013 |
Pages | 309-317 |
Number of pages | 9 |
Volume | 1561 |
DOIs | |
Publication status | Published - 2013 |
Event | 5th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2013 - Albena, Bulgaria Duration: 24 Jun 2013 → 29 Jun 2013 |
Other
Other | 5th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2013 |
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Country/Territory | Bulgaria |
City | Albena |
Period | 24/06/13 → 29/06/13 |
Keywords
- average refractive index
- effective dielectric constant
- finite differences
- Nematic liquid crystals
- reconfigurable patch antennas