Stokes phase is the phase difference between orthogonal component states in the decomposition of any polarization state. Phase singularities in the Stokes phase distribution are Stokes singularities of an inhomogeneous polarization distribution. Under circular decomposition, Stokes phase distribution \((\phi _{12})\) represents polarization azimuth \((\gamma )\) distribution and the singularities present in it are polarization singularities. Therefore, the charge of the Stokes vortices depicted as Stokes index \(\sigma _{12}\) is an important parameter associated with the polarization singularity. The Hybrid order Poincaré sphere (HyOPS)/Higher order Poincaré sphere (HOPS) beams, all having same Stokes index, contain a Stokes singularity at the center of the beam as these beams are constructed by vortex superposition. These beams, being superposition of orthogonal orbital angular momentum (OAM) states in orthogonal spin angular momentum (SAM) states can offer great multiplexing capabilities in communication. In this article, we identify these degenerate Stokes index states and discuss the ways and means of lifting this degeneracy. Otherwise, there are limitations on intensity based detection techniques, where demultiplexing or segregation of different HOPS/HyOPS beams is warranted. The method adduced here uses the diffraction of these beams through an equilateral triangular aperture in combination with polarization transformation as a probe to lift the Stokes index/Stokes phase degeneracy. Successively, the novelty of the detection scheme is discussed in the context of beams with alike polarization distributions where even the technique of Stokes polarimetry fails to predict the OAM and SAM content of the beam.

斯托克斯相是任何偏振态分解中正交分量状态之间的相位差。斯托克斯相位分布中的相位奇点是非均匀极化分布的斯托克斯奇点。在圆形分解下，斯托克斯相位分布\（（\ phi _ {12}）\）表示极化方位角\（（\ gamma）\）分布，并且其中出现的奇点是极化奇点。因此，斯托克斯旋涡的电荷表示为斯托克斯指数\（\ sigma _ {12} \）是与极化奇异性相关的重要参数。具有相同斯托克斯指数的混合阶庞加莱球（HyOPS）/高阶庞加莱球（HOPS）光束在光束中心包含斯托克斯奇点，因为这些光束是通过涡旋叠加构造的。这些光束在正交自旋角动量（SAM）状态下是正交轨道角动量（OAM）状态的叠加，可以提供出色的通信复用能力。在本文中，我们确定了这些退化的斯托克斯索引状态，并讨论了解除这种退化的方式方法。否则，基于强度的检测技术存在局限性，必须保证对不同的HOPS / HyOPS光束进行解复用或隔离。这里提出的方法使用这些光束通过等边三角形孔径的衍射结合偏振变换作为探针来提升斯托克斯指数/斯托克斯相位简并性。继而，在具有相似偏振分布的光束的背景下讨论了检测方案的新颖性，其中即使是斯托克斯偏振技术也无法预测光束的OAM和SAM含量。