Multidimensional modeling of liquid crystal director field in the patterned vertical aligned LC cell using the fast Q-tensor method

In this article we model the liquid crystal director field in the Patterned Vertical Alignment (PVA) LC using the fast Q-tensor method, which can model multidimensional director configurations with defects in the liquid crystal director field. In this work we model the LC director field with same condition of the real cell using fast Q-tensor method. Different from the result of the 2 dimensional calculation, in case of 3 dimensional simulation result, the defect line from the phase transition on the slit is not occurred. Since the generated defects due to geometry of the slit disturbed the phase transition in the middle of slit. We modeled the defect nucleation from geometry of the slit and LC director field of the conventional PVA cell. As a result, we could calculate optical transmittance of the conventional PVA cell.