The Flexoelectric Effect And The Anchoring Energy Of The NLC Cell

With a voltage operating, the flexoelectric effect for a nematic liquid crystal (NLC) cell has been investigated theoretically with an analytical approach, and the absorption of ions has not been taken into account. The equations and the boundary conditions of the NLC tilt angle 6 have been deduced. We have proved that the surface energy induced by the flexoelectric effect has the same form but inverse sign at the up or down substrate. The expressions of the threshold voltage and the saturated voltage which have correlation withe1+e3(the flexoelectric coefficients). We introduce the equivalent anchoring energy, inducedby the flexoeclectric effect, which can be considered of the modification to the RP formula. Moreover, the director distribution symmetry to the mid layer of NLC celliias been broken by the flexoelectric effect. A new parameter A is introduced to express the symmetry breaking and has been investigated in detail.