Abstract
According to the theory of electromagnetic field, the orbital angular momentum density formula of a general beam was deduced. From the electric field intensity of a Gauss Vortex Beam, the orbital angular momentum density calculation formula of a Gaussian vortex beam was also deduced. A MATLAB program was applied to simulate the optical field distributions and the orbital angular momentum density distributions of Gauss Vortex Beams, and found the size and the direction of orbital angular momentum were closely related to the order of a Gaussian vortex beam.
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