Multi-functional liquid crystal devices based on random binary matrix algorithm

Multi-functional diffraction gratings have found broad applications in laser processing, medicine, beam manipulation, etc. However, based on the existing schemes there are still some challenges in fabricating the diffraction gratings with the controllable and arbitrary diffraction intensity of each order, multiple phase distribution, and polarisation of the output. Here, we propose a new phase mixing algorithm based on the random binary matrix and describe the theoretical foundation and experimental realisation of the proposed scheme. Using the new algorithm, several phase-mixing devices were fabricated, and the experiment verified the relationship of the light intensity, polarisation, phase and the algorithm. Our approach is practical to mix the phases of several diffraction gratings to realise the controllable diffraction orders, offering an innovative idea for the research of the liquid crystal phase mixing devices.

多功能衍射光栅（diffraction gratings）已在激光加工、医学、光束操控等领域得到广泛应用。然而，基于现有制备方案，仍存在诸多挑战：难以制备出可对各阶衍射强度进行任意调控、具备多相位分布且输出偏振可控的衍射光栅。为此，本文提出一种基于随机二元矩阵的相位混合算法，并阐述了该方案的理论基础与实验实现过程。利用该新算法，研究人员制备了多台相位混合器件，并通过实验验证了光强、偏振、相位与该算法之间的关联规律。本方法可有效实现多片衍射光栅的相位混合，完成可控衍射阶数调控，为液晶相位混合器件的相关研究提供了创新性思路。