As a powerful platform for next-generation display, planar liquid crystal (LC) optics exhibit attractive properties such as electro-optical response, high efficiency, and broadband tunability. With planar LC optics applications taking off, multidimensional modulation and multiplexing capability of light wave is becoming crucial. Here, a Pancharatnam-Berry phase LC hologram is demonstrated that enables the multidimensional modulation of amplitude, phase, and polarization of light, which increases the degree of freedom of multiplexing display to 4 at a single wavelength, realizing the simultaneous decoupling modulation in dual polarization channels in near and far fields. According to the quaternary degeneracy characteristics of the orientation angle of LC molecules implied in Malus' law, the LC holograms are designed using the optimized Gerchberg-Saxton and annealing algorithms, and it is demonstrated that the spatial and polarization multiplexing of LC holograms have remarkable wavelength-dependent electrical tunability. This LC hologram paves a promising pathway toward multifunctional LC optics for advanced display and imaging.

中文翻译：

---

多维复用液晶全息图

作为下一代显示的强大平台，平面液晶 (LC) 光学器件表现出极具吸引力的特性，例如电光响应、高效率和宽带可调性。随着平面液晶光学应用的起飞，光波的多维调制和复用能力变得至关重要。这里，展示了Pancharatnam-Berry相位液晶全息图，可以实现光的振幅、相位和偏振的多维调制，将单波长的多重显示自由度增加到4个，实现双偏振的同时解耦调制近场和远场的通道。根据Malus定律隐含的液晶分子取向角的四元简并特性，采用优化的Gerchberg-Saxton和退火算法设计了液晶全息图，并证明了液晶全息图的空间和偏振复用具有显着的波长依赖的电气可调性。这种液晶全息图为先进显示和成像的多功能液晶光学器件铺平了一条充满希望的道路。