ABSTRACT In this paper, we extended the methods for fabricating phase-integrated liquid crystal optical elements by interfering of orthogonal circularly polarised beams with different PB phase and generalised those methods as Pancharatnam-Berry (PB) phase interference theory. The generalised theory exhibits two kinds of interference ways. The first way takes place when various PB optical elements (PBOEs) are sequentially illuminated by a linearly polarised light in half-wave condition. The second way happens when the first PBOE is illuminated by a circularly polarised light in quarter-wave condition while the following PBOEs are in half-wave condition. The fabrication of fork polarisation gratings based on this generalised theory is used to confirm the two different interference ways. The generalised theory can better describe the interference of orthogonal circularly polarised beams with different PB phase and can be widely used for fabricating phase-integrated liquid crystal optical elements using existing PB phase device, which may promote the development and extensive applications of the PBOEs. GRAPHICAL ABSTRACT

中文翻译：

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Pancharatnam-Berry相位干涉理论在相位集成液晶光学元件制造中的推广

摘要 在本文中，我们扩展了通过干涉具有不同 PB 相位的正交圆偏振光束来制造相位集成液晶光学元件的方法，并将这些方法推广为 Pancharatnam-Berry (PB) 相位干涉理论。广义理论表现出两种干扰方式。第一种方式发生在各种 PB 光学元件 (PBOE) 被半波条件下的线性偏振光顺序照射时。第二种方式发生在第一个 PBOE 被四分之一波条件下的圆偏振光照射而随后的 PBOE 处于半波条件时。基于这种广义理论的叉形偏振光栅的制造用于确认两种不同的干涉方式。广义理论可以更好地描述不同PB相位的正交圆偏振光束的干涉，可广泛用于利用现有PB相位器件制造相位集成液晶光学元件，促进PBOE的发展和广泛应用。图形概要