ABSTRACT We present a theoretical model in the framework of elastic continuum theory to describe the behaviour of a liquid crystalline host doped with ferroelectric nanoparticles acting as a liquid crystal polarization grating device. The effect of ferroelectric impurity dopants in liquid crystals and the Freedericksz transition is studied. We obtain the critical thickness and voltages of the system and find that, as in the case of pure liquid crystal devices, the critical voltages for weak anchoring conditions would be lower than those in a strong anchoring case. We also investigate the dynamic behaviour of the system and obtain the switching on and off times for the nano-doped cells with strong and weak anchoring conditions on the surfaces. The effects of the flow are excluded in our calculations. The findings show that the rise time of the suspension is lower than that of the pure liquid crystal, and switching times will be prolonged when the anchoring strength is reduced. Our results are consistent with existing experimental reports and may be useful for many applications in the industry. Obviously, electrically control is definitely fundamental in the operation of many liquid crystal devices such as displays, beam steering devices, and liquid crystal modulators. Graphical abstract

中文翻译：

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基于掺杂铁电纳米粒子的液晶的偏振光栅

摘要 我们在弹性连续体理论的框架内提出了一个理论模型来描述掺杂有铁电纳米粒子的液晶主体作为液晶偏振光栅器件的行为。研究了液晶中铁电杂质掺杂剂和Freedericksz跃迁的影响。我们获得了系统的临界厚度和电压，发现在纯液晶器件的情况下，弱锚定条件下的临界电压将低于强锚定条件下的临界电压。我们还研究了系统的动态行为，并获得了在表面具有强和弱锚定条件的纳米掺杂电池的开关时间。我们的计算中排除了流动的影响。研究结果表明，悬浮液的上升时间低于纯液晶，当锚固强度降低时，切换时间会延长。我们的结果与现有的实验报告一致，可能对行业中的许多应用有用。显然，在许多液晶设备（例如显示器、光束控制设备和液晶调制器）的操作中，电气控制绝对是基础。图形概要 在许多液晶设备（例如显示器、光束控制设备和液晶调制器）的操作中，电气控制绝对是基础。图形概要 在许多液晶设备（例如显示器、光束控制设备和液晶调制器）的操作中，电气控制绝对是基础。图形概要