Title

Comprehensive Three-Dimensional Dynamic Modeling Of Liquid Crystal Devices Using Finite Element Method

Abstract

Liquid crystal (LC) materials have been used widely in electro-optic devices, such as direct-view and projection displays. Accurate and reliable modeling of LC electro-optical behaviors is critical in both developing novel devices and optimizing such devices. Generally the LC modeling includes tow steps: evaluation of the LC directors' deformation under external electric fields and calculation the optical properties thereafter. Therefore, an accurate model of LC deformation is prerequisite for reliable device design and subsequent optical analysis. In general, the dynamic modeling of the LC director calculations can be implemented by finite difference method (FDM) [(1). A. Taflove, "Computational Electrodynamics: The Finite-Difference Time-Domain Method," Artech House Publishers, 1995. (2). J. E. Anderson, P. Watson, P. J. Bos, "LC3D: Liquid Crystal Display 3-D Directory Simulator, Software and Technology Guide," Artech House Publishers, 1999.], finite element method (FEM) [(3). J. Jin, "The Finite Element Method in Electromagnetics," 2nd Edition, Wiley-IEEE Press, 2002.], or a combination of both. In this paper, a comprehensive open-source three-dimensional (3D) 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 2D 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 3D super IPS LC cell with zigzag electrodes. © 2006 IEEE.

Publication Date

12-1-2006

Publication Title

IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

Number of Pages

1777-

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/APS.2006.1710910

Socpus ID

36148939156 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/36148939156

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