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Distribution of orbital angular momentum in a combined beam carrying optical vortices

We analyze the properties of light beams carrying phase singularities, or optical vortices. The transformations of topological charge during free-space propagation of a light wave were presented in a theory and experiment. We report theoretical calculations of orbital angular momentum density (AMD) in a of combined beam, which is a superposition of LG01, LG10 and LG00 modes with different relative phase shifts and intensity ratio. We show that the total orbital angular momentum in a combined beam is constant during the propagation, in spite of any variation in the absolute value of AMD.