Abstract
Rigorous analytical solutions were obtained for the vector field of a propagating nonparaxial Gaussian beam in the vicinity of the beam focus. It is demonstrated that a nonparaxial beam of the lowest order has six modes. Upon the limiting transition kz 0 ≫ 1, four of these modes exhibit degeneracy and convert into a paraxial Gaussian beam, while the other two modes form the azimuth-symmetric TE and TM fields. A characteristic feature of the nonparaxial modal beam is the absence of symmetry between (still mutually orthogonal) electric and magnetic fields. The deviation from symmetry results in the appearance of negative energy fluxes in the vicinity of the phase singularity manifested by Airy’s fringes, “light drops” (special states of the light field), and “singularity islands”. The obtained results are in good agreement with other relevant data published.
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 26, No. 13, 2000, pp. 71–78.
Original Russian Text Copyright © 2000 by Volyar.
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Volyar, A.V. Nonparaxial gaussian beams: 1. Vector fields. Tech. Phys. Lett. 26, 573–575 (2000). https://doi.org/10.1134/1.1262917
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DOI: https://doi.org/10.1134/1.1262917