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Backward canonical near-field energy flux of a Laguerre-Gauss beam
V.V. Kotlyar1,2, A.A. Kovalev1,2, A.G. Nalimov1,2

1Image Processing Systems Institute, NRC "Kurchatov Institute", Molodogvardeyskaya str. 151, Samara, 443001, Russia;
2Samara National Research University, Moskovskoye Shosse 34, Samara, 443086, Russia

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DOI: 10.18287/COJ1717

Article ID: 1717

Abstract:
We show that for a scalar single-ring Laguerre-Gauss beam with high topological charge, the near-waist canonical energy flux is negative (reverse) on the inner side of the intensity ring and positive on the outer side. And vice versa, at a distance from the waist greater than the Rayleigh length, the canonical energy flux is positive on the inner side of the ring and negative on the outer side. Moreover, the positive and negative fluxes on the ring are approximately equal in modulus. At small values of the topological charge, small negative values of the canonical energy flux also occur in the cross-section of the Laguerre-Gauss beam in the far field at large distances from the optical axis, where the intensity is almost zero.

Keywords:
linear polarization, paraxial Laguerre-Gaussian beam, longitudinal canonical (orbital) energy flux.

Citation:
Kotlyar VV, Kovalev AA, Nalimov AG. Backward canonical near-field energy flux of a Laguerre-Gauss beam. Computer Optics 2026; 50(2): 1717. DOI: 10.18287/COJ1717.

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