To describe the state of polarization (SOP) of light, the Stokes parameters are obtained using intensity measurements made at different component polarization states. Using these Stokes parameters, complex field distributions called Stokes fields can be synthesized, and the phase singularities present in these Stokes fields are called Stokes vortices. The SOP of a Stokes vortex can be either linear or circular at the singular point. Of the three types of Stokes vortices, only one of them has handedness associated with it. We show here that changing the handedness of this Stokes vortex results in index sign inversion for the other two types of Stokes vortices. To accomplish handedness inversion without Stokes index sign inversion, a new phase engineering method is introduced here. The current study may unfold applications in the optical chirality measurement and structured illumination microscopy.

中文翻译：

---

通过斯托克斯涡旋中的螺旋度反转索引极性反转

为了描述光的偏振态 (SOP)，斯托克斯参数是使用在不同分量偏振态下进行的强度测量获得的。使用这些斯托克斯参数，可以合成称为斯托克斯场的复杂场分布，这些斯托克斯场中存在的相位奇点称为斯托克斯涡旋。斯托克斯涡旋的 SOP 在奇异点处可以是线性的或圆形的。在这三种斯托克斯涡旋中，只有一种与左旋涡旋相关。我们在这里表明，改变这个斯托克斯涡旋的手性会导致其他两种斯托克斯涡旋的索引符号反转。为了在没有斯托克斯指数反演的情况下完成手性反演，这里引入了一种新的相位工程方法。