基于Berreman 4&times;4矩阵对胆甾相液晶Bragg反射带宽的模拟研究

赵静; 李庆丽; 许利军

doi:10.3788/YJYXS20153005.0777

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基于Berreman 4×4矩阵对胆甾相液晶Bragg反射带宽的模拟研究

材料物理和化学 | 更新时间：2020-08-12

- 基于Berreman 4×4矩阵对胆甾相液晶Bragg反射带宽的模拟研究
- Simulation research on Bragg reflection bandwidth of cholesteric liquid crystal based on Berreman 4×4 matrix
- 液晶与显示 2015年30卷第5期页码：777-783
- 作者机构：
  
  张家口学院,河北张家口,075000
- 作者简介：
- 基金信息：
- DOI：10.3788/YJYXS20153005.0777
  中图分类号： O753.2
- 收稿日期：2015-02-05，
  
  修回日期：2015-05-08，
  
  网络出版日期：2015-05-11，
  
  纸质出版日期：2015-10-05
- 稿件说明：
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赵静, 李庆丽, 许利军. 基于Berreman 4×4矩阵对胆甾相液晶Bragg反射带宽的模拟研究[J]. 液晶与显示, 2015,30(5): 777-783

ZHAO Jing, LI Qing-li, XU Li-jun. Simulation research on Bragg reflection bandwidth of cholesteric liquid crystal based on Berreman 4×4 matrix[J]. , 2015,30(5): 777-783
赵静, 李庆丽, 许利军. 基于Berreman 4×4矩阵对胆甾相液晶Bragg反射带宽的模拟研究[J]. 液晶与显示, 2015,30(5): 777-783 DOI： 10.3788/YJYXS20153005.0777.

ZHAO Jing, LI Qing-li, XU Li-jun. Simulation research on Bragg reflection bandwidth of cholesteric liquid crystal based on Berreman 4×4 matrix[J]. , 2015,30(5): 777-783 DOI： 10.3788/YJYXS20153005.0777.

摘要

利用Berreman 44矩阵和Matlab编程模拟了胆甾相液晶的反射光谱

分析了螺旋数(液晶厚度)、基板的折射率、双折射、折射率色散、固定螺距、梯度螺距和入射角等因素对反射光谱带宽的影响。结果表明

要得到理想的Bragg反射带宽

液晶层的厚度即螺旋数

需达到

10;基板折射率会影响最大反射率

基板折射率

与寻常光折射率

相比

时

最大反射率比较低

越小越影响明显

当

时

具有很好的反射率;折射率的色散和大的入射角会使带宽变窄

而大的双折射

和螺距P可以得到较宽的反射带宽

但拓宽效果有限。通过梯度螺距的函数表达式

理论模拟了具有螺距梯度的胆甾相液晶的反射带宽

其对于胆甾相液晶宽波反射的实验研究具有一定的意义。

Abstract

This research simulates the reflection spectrum of cholesteric liquid crystal by Berreman 44 matrix and Matlab program

and analyses the factors that affect the bandwidth of reflection spectrum

such as pitch number (thickness of liquid crystal)

refractive index of substrate

birefringence

dispersion of refractive index

fixed pitch

pitch gradient

incident angle and so on. The result illustrates that in order to get an ideal Bragg reflection bandwidth

the thickness of the liquid crystal

the pitch number

must reach

10; The substrate refractive index can impact the maximum reflection

which will be relatively low when the substrate refractive index

is smaller than the common light reflection and the affection is more obvious as the

becomes smaller when

a pefect reflection can be attained.The dispersion reflection and big incident angle will make the bandwidth become narrow

while large birefringence

and pitch

lead to broader bandwidth

but the broadening effects is finite. The reflection bandwidth of the pitch gradient cholesteric liquid crystal was simulated theoretically by giving the function expression of pitch gradient

which makes sense for the experimental study of broadband reflection of cholesteric liquid crystal.

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Keywords

references

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基于Berreman 4×4矩阵对胆甾相液晶Bragg反射带宽的模拟研究

Simulation research on Bragg reflection bandwidth of cholesteric liquid crystal based on Berreman 4×4 matrix

DOI：10.3788/YJYXS20153005.0777

摘要

Abstract

关键词

Keywords

references