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Backward canonical energy flux of a two-dimensional Airy beam
V.V. Kotlyar1,2, A.A. Kovalev1,2, A.G. Nalimov1,2

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

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DOI: 10.18287/COJ1741

Article ID: 1741

Language: Russian

Abstract:
In this paper, a 2D paraxial accelerating Airy beam propagating along a parabolic trajectory is shown analytically and numerically to have regions with a reverse canonical energy flow. These regions are formed in far side lobes of the Airy beam where the local period of the side lobes is much smaller than the wavelength. At any distance from the initial plane, there is a certain boundary transverse coordinate such that for all smaller transverse coordinate values, the longitudinal projection of the canonical energy flow is negative. Therefore, an unbounded Airy beam is actually "bounded", since only part of it propagates in the positive direction of the optical axis.

Keywords:
linear polarization, longitudinal canonical energy flux, Airy beam.

Acknowledgements:
The work was partly funded by the Russian Science Foundation under grant #26-12-00117 (theoretical part) and NRC "Kurchatov Institute" under a government project (numerical simulation).

Citation:
Kotlyar VV, Kovalev AA, Nalimov AG. Backward canonical energy flux of a two-dimensional Airy beam. Computer Optics 2026; 50(4): 1741. DOI: 10.18287/COJ1741.

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