Abstract
From the wave equation of a generalized beam the orbital angular momentum is studied. It is shown that the orbital angular momentum exists not only in the Laguerre-Gaussian beam, but in any beam with an angular-dependent structure. By calculating the second order intensity moments of the beam the relation between the orbital angular momentum and the second order moments (x θy), (y θx) is given. As an example the orbital angular momentum of the general astigmatic Gaussian beam is studied.
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References
Siegman, A. E., New developments in laser resonators, SPIE, 1990, 1224: 2.
Nemes, G., Siegman, A. E., Measurement of all ten second-order moments of an astigmatic beam by use of rotating simple astigmatic optics, J. Opt. Soc. Am. A, 1994,11: 2257.
Weber, H., Propagation of higher-order intensity moments in quadratic-index media, Opt. and Quan. Elec., 1992, 24:S1027.
Allen, L., Beijersbergen, M. W., Spreeuv, R. J. C. et al., Orbital angular momentum of light and the transformation of Laguerre- Gaussian laser modes, Phys. Rev., 1992, A45: 8185.
Baennet, S. M., Allen, L., Orbital angular momentum and nonparaxial light beams, Opt. Comm., 1994, 110 670.
Jackson, J. D., Classical Electrodynamics, New York: John Wiley & Sons, Inc., 1962.
Simpson, N. B., Dholakia, K., Allen, L. et al., Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner, Opt. Lett., 1997, 22: 52.
Eppich, B., Gao, C., Weber, H., Determination of the ten second order moments, Opt. & Laser Tech., 1998, 30: 337.
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Gao, C., Wei, G. & Weber, H. Orbital angular momentum of the laser beam and the second order intensity moments. Sci. China Ser. A-Math. 43, 1306–1311 (2000). https://doi.org/10.1007/BF02880068
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DOI: https://doi.org/10.1007/BF02880068