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A generalized theory of spatial coherence for superposition of two specklepatterns with polarization diversity is presented. The presented theory dealswith superposition in different scenarios i.e. superposition of two fullycorrelated, partially correlated and completely uncorrelated speckle patterns,and describes the effect on the spatial coherence-polarization (CP) property ofthe superposed random field from the study of the spatial degree of coherenceand degree of polarization. The change in the spatial CP property with thepolarization diversity is studied for different correlation factors of theconstituent random fields, and a modulation of the spatial CP property isobserved, when the constituent speckle patterns are not fully correlated. Theeffect of the average intensity ratio of the two random fields on the spatialCP property is also studied. Thus, this theoretical study completes the case ofsuperposition of two speckle patterns with polarization diversity and itseffect on the spatial CP property.

Generalized theory of spatial coherence for superposition of two speckle patterns with polarization diversity