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Reverse canonical energy flow of a non-paraxial beam with linear polarization near the initial plane
V.V. Kotlyar 1,2, A.A. Kovalev 1,2, A.G. Nalimov 1,2

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

  Full text (PDF)

DOI: 10.18287/COJ1770

Article ID: 1770

Language: Russian

Abstract:
An explicit analytical expression is obtained for the longitudinal component distribution of the canonical energy flux vector near the initial plane (in the near field) for a non-paraxial beam of light with linear polarization. The amplitude of the plane wave spectrum is shaped as a circle. This derived distribution is in the form of an ellipse with its major axis located on the linear polarization vector. If the plane wave spectrum includes evanescent waves, then a reverse canonical energy flux is formed in the near field. The reverse flux almost coincides with the first side lobe of the intensity distribution in the near field. It is revealed to be formed only in the presence of evanescent waves, which participate in the formation of the canonical energy flux, although they do not transfer light energy along the optical axis.

Keywords:
linear polarization, reverse energy flux, Bessel beam.

Acknowledgements:
The work was partly funded by the Russian Science Foundation under grant #26-12-00117 (theoretical substantiation) and NRC “Kurchatov Institute” within the state assignment (numerical simulation).

Citation:
Kotlyar VV, Kovalev AA, Nalimov AG. Reverse canonical energy flow of a non-paraxial beam with linear polarization near the initial plane. Computer Optics 2026; 50(5): 1770. doi: 10.18287/COJ1770.

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