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Effect of the number of sublayers on axial optics of anisotropic helical structures

机译:子层数对各向异性螺旋结构轴向光学的影响

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摘要

The transition from the continuously rotating dielectric ellipsoid approach to the discrete periodic collection of wave plates is investigated by comparing an exact analytic solution found using a Bloch-Lyaponov transformation on the 4 X 4 matrix form of Maxwell's equations and the numerical solution. The validity of the analytic solution depends only on the number of sublayers within the unit cell and not on the number of periods in the sample. The circularly polarized Bragg-type selective reflection peak is shown to exist with helices containing as few as N_(l) velence 3 sublayers in a single period, but due to the appearance of higher Fourier harmonics in the dielectric tensor, additional selective reflection peaks appear. The case of N_(l) velence 4 corresponds to the folded Solc-type filter case with a twist angle of pi/4, but it acts as a reflection filter for unpolarized light. Hence using this fact with liquid crystalline structures, polarization insensitive tunable filters can be built.
机译:通过比较在麦克斯韦方程组的4 X 4矩阵形式上使用Bloch-Lyaponov变换找到的精确解析解和数值解,研究了从连续旋转介电椭圆体方法到离散的周期性波片收集的过渡。分析解决方案的有效性仅取决于晶胞内子层的数量,而不取决于样品中周期的数量。圆偏振的Bragg型选择性反射峰显示为在单个周期中包含少至N_(l)个Velence 3子层的螺旋存在,但是由于介电张量中出现较高的傅立叶谐波,因此出现了附加的选择性反射峰。 N_(1)velence 4的情况对应于扭曲角为pi / 4的折叠Solc型滤光器情况,但它充当非偏振光的反射滤光器。因此,利用液晶结构的这一事实,可以构建偏振不敏感的可调滤波器。

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  • 来源
    《Applied optics》 |2008年第16期|共7页
  • 作者

    I. Abdulhalim;

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