A matrix representation is introduced for stationary beamlike light fields that allows for simultaneous treatment of the orbital angular momentum (OAM) and the second-order state of spatial coherence. This coherence-OAM matrix is a counterpart of the $2\times 2$ beam coherence-polarization matrix in a Cartesian polarization basis or coherence-spin angular momentum (SAM) matrix in a circular polarization basis. The general properties of the coherence-OAM matrix are discussed and then the coherence-SAM-OAM matrix is introduced as a unifying entity for treating beams with any coherence, spin, and orbital angular momentum states.

中文翻译：

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部分相干光束中自旋和轨道角动量的统一矩阵表示

为静止的类似光束的光场引入了矩阵表示法，该矩阵表示法允许同时处理轨道角动量（OAM）和空间相干性的二阶状态。此相干OAM矩阵是$2\times 2$笛卡尔直角偏振基的光束相干偏振矩阵或圆偏振基的相干自旋角动量（SAM）矩阵。讨论了相干-OAM矩阵的一般性质，然后将相干-SAM-OAM矩阵作为一个统一实体，用于处理具有任何相干，自旋和轨道角动量状态的光束。