Geometric transformations of optical orbital angular momentum spatial modes |
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| Authors: | Rui He Xin An |
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| Institution: | 1.College of Electrical and Photoelectronic Engineering,West Anhui University,Lu’an,China;2.Reseach Center of Atmos Molecules and Optical Applications,West Anhui University,Lu’an,China;3.Institute of Quantum Control and Automation,West Anhui University,Lu’an,China;4.School of Computer and Information,Hefei University of Technology,Hefei,China |
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| Abstract: | With the aid of the bosonic mode conversions in two different coordinate frames, we show that (1) the coordinate eigenstate is exactly the EPR entangled state representation, and (2) the Laguerre-Gaussian (LG) mode is exactly the wave function of the common eigenvector of the orbital angular momentum and the total photon number operator. Moreover, by using the conversion of the bosonic modes, theWigner representation of the LG mode can be obtained directly. It provides an alternative to the method of Simon and Agarwal. |
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