Orbital angular momentum of an astigmatic Hermite-Gaussian beam

Autor: Victor Kotlyar, Alexey Kovalev, Alexey Porfirev
Jazyk: English<br />Russian
Rok vydání: 2018
Předmět:
Zdroj: Компьютерная оптика, Vol 42, Iss 1, Pp 13-21 (2018)
Druh dokumentu: article
ISSN: 2412-6179
0134-2452
DOI: 10.18287/2412-6179-2018-42-1-13-21
Popis: An explicit formula for the normalized orbital angular momentum (OAM) of an elliptical Hermite-Gaussian (HG) beam of orders (0, n) focused by a cylindrical lens is obtained. In modulus, this OAM can be both greater and smaller than n. If the cylindrical lens focuses not an elliptical, but a conventional HG beam, the latter will also have an OAM that can be both larger and smaller in modulus than that of an elliptical HG beam. For n = 0, this beam converts to an astigmatic Gaussian beam, but, as before, it will still have OAM. With the help of two interferograms, a phase of the astigmatic Gaussian beam is reconstructed, which is then used to calculate the normalized OAM. The values of the OAM calculated by the theoretical formula and using a hybrid method combining modeling with experiment differ only by 6 %.
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