CAJ | 학술논문

利用Berreman4×4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N需达到N≥10；基板折射率会影响最大反射率,基板折射率ng与寻常光折射率no相比,ng＜no时,最大反射率比较低,ng越小越影响明显,当ng≥no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Δn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。
이용Berreman4×4구진화Matlab편정모의료담치상액정적반사광보,분석료라선수(액정후도)、기판적절사솔、쌍절사、절사솔색산、고정라거、제도라거화입사각등인소대반사광보대관적영향。결과표명,요득도이상적Bragg반사대관,액정층적후도즉라선수N수체도N≥10；기판절사솔회영향최대반사솔,기판절사솔ng여심상광절사솔no상비,ng＜no시,최대반사솔비교저,ng월소월영향명현,당ng≥no시,구유흔호적반사솔；절사솔적색산화대적입사각회사대관변착,이대적쌍절사Δn화라거P가이득도교관적반사대관,단탁관효과유한。통과제도라거적함수표체식,이론모의료구유라거제도적담치상액정적반사대관,기대우담치상액정관파반사적실험연구구유일정적의의。
This research simulates the reflection spectrum of cholesteric liquid crystal by Berreman 4×4 matrix and Matlab program,and analyses the factors that affect the bandwidth of reflection spec-trum,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 illus-trates that in order to get an ideal Bragg reflection bandwidth,the thickness of the liquid crystal,the pitch number N,must reach N ≥10;The substrate refractive index can impact the maximum reflec-tion,which will be relatively low when the substrate refractive index ng is smaller than the common light reflection and the affection is more obvious as the ng becomes smaller when ng ≥no,a pefect reflec-tion can be attained.The dispersion reflection and big incident angle will make the bandwidth become narrow,while large birefringence Δn and pitch P 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 experi-mental study of broadband reflection of cholesteric liquid crystal.