We show theoretically how a sequence of spatial light modulators (SLMs) can be used to compensate polarisation and phase errors introduced by a spatially variant homogeneous waveplate with any polarisation eigenmode and arbitrary retardance distribution. The resultant compensation is applicable to all pure input polarisation states. The properties of such a system are easily described using Jones calculus in terms of the retardance distribution on each SLM. However, it is not straightforward to determine from the Jones matrices the arrangements nor the settings of each SLM required to implement an arbitrary spatially variant retarder. In order to address this problem, analytic solutions for the required SLM settings are obtained through the construction of a geometrical model on the Poincar sphere. These solutions are validated against numerical models. These models can be used, for example, to control a multi-pass SLM system acting as the correction device in an efficient vectorial adaptive optics system.

我们从理论上展示了如何使用一系列空间光调制器 (SLM) 来补偿由具有任何偏振本征模式和任意延迟分布的空间变化均匀波片引入的偏振和相位误差。所得补偿适用于所有纯输入偏振态。根据每个 SLM 上的延迟分布，使用琼斯演算可以很容易地描述这种系统的特性。然而，从琼斯矩阵中确定实现任意空间变化延迟器所需的每个 SLM 的布置和设置并不简单。为了解决这个问题，通过在 Poincar 球体上构建几何模型来获得所需 SLM 设置的解析解。这些解决方案已针对数值模型进行了验证。例如，这些模型可用于控制作为高效矢量自适应光学系统中的校正设备的多通道 SLM 系统。