In analogy to the velocity decomposition in continuum mechanics, we introduce two new tensors, referred to as the deformation-rate tensor and rotation-rate tensor, to the optical coherence theory for stochastic optical field, and decompose a coherence current vector into its translation, rotation and deformation components to study the optical coherence dynamics. To investigate the optical coherence propagation and evolution, we have conducted an experiment with results given to demonstrate the two newly introduced tensors.
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