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The transformation of the orbital angular momentum (OAM) at the reflection and transmission of a paraxial light beam on a plane interface of two isotropic transparent media is considered. The unitary formula for the intrinsic OAMs of the incident, reflected and transmitted beams is derived. The processes of the change of the intrinsic OAM at reflection and transmission, and the appearance of the extrinsic OAMs, which are generated by the respective shifts of the centres of gravity of secondary beams, are analysed on the basis of the conservation laws.
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V.G. Fedoseyev (2008) studied this question.
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