This paper describes polarimetric strategies based on measuring the light's geometric phase, which results from the evolution of the polarisation state while traversing an optical system. The system in question is described by a homogeneous Jones matrix, which by definition, contains mutually perpendicular eigenpolarisations. Our leading theory links the system's Jones matrix parameters (eigenvalues and eigenvectors) with the input polarisation state and the geometric phase. We demonstrate two interferometric techniques. The first one measures the geometric phase based on the relative lateral fringe displacement between the interference pattern of two mutually-orthogonal polarisation states. The second technique uses the visibility of the interference fringes to determine the eigenpolarisations of the system. We present proof-of-principle experiments for both techniques.

中文翻译：

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几何相位偏振法

本文描述了基于测量光的几何相位的偏振策略，该几何相位是由于穿过光学系统时偏振态的演变而产生的。所讨论的系统由齐次琼斯矩阵描述，根据定义，该矩阵包含相互垂直的本征极化。我们的领先理论将系统的琼斯矩阵参数（特征值和特征向量）与输入偏振态和几何相位联系起来。我们展示了两种干涉测量技术。第一个测量基于两个相互正交偏振态的干涉图样之间的相对横向条纹位移的几何相位。第二种技术使用干涉条纹的可见性来确定系统的本征极化。