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 Computer Optics, 2015, Volume 39, Issue 1, Pages 5–11 (Mi co50)

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Asymmetrical Bessel modes of the first and second type and their superpositions

A. A. Kovalevab, V. V. Kotlyarab, R. F. Fakhrieva

a Samara State Aerospace University
b Image Processing Systems Institute, Russian Academy of Sciences

Abstract: We considered nonparaxial asymmetric Bessel modes of the first and second type, which differ from a conventional symmetric Bessel mode by a real-valued shift along one Cartesian coordinate and imaginary shift along the other (both shifts are equal in modulus). Bessel modes of the first and second type differ only in the shift sign and, therefore, have different orbital angular momentum (OAM) (integer or fractional). Addition and subtraction of two identical asymmetric Bessel modes of the first and second type leads to light beams with the same integer OAM equal to the topological charge of the generating mode, but with different transverse intensity distributions, which depend on the shift magnitude.

Keywords: nonparaxial Bessel mode, diffraction-free laser beams, complex shift of the solution of the Helmholtz equation, orbital angular momentum, asymmetric Bessel mode.

 Funding Agency Grant Number Ministry of Education and Science of the Russian Federation 3970.2014.9 Russian Foundation for Basic Research 13-07-9700814-29-0713314-07-3109215-07-01174 This work was supported by the Ministry of Education and Science of the Russian Federation, the Russian President's grant for support of leading scientific schools (NSH-3970.2014.9) and RFBR 13-07-97008 grants 14-29-07133 and 14-07-31092, 15-07 -01,174.

DOI: https://doi.org/10.18287/0134-2452-2015-39-1-5-11

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Citation: A. A. Kovalev, V. V. Kotlyar, R. F. Fakhriev, “Asymmetrical Bessel modes of the first and second type and their superpositions”, Computer Optics, 39:1 (2015), 5–11

Citation in format AMSBIB
\Bibitem{KovKotFak15} \by A.~A.~Kovalev, V.~V.~Kotlyar, R.~F.~Fakhriev \paper Asymmetrical Bessel modes of the first and second type and their superpositions \jour Computer Optics \yr 2015 \vol 39 \issue 1 \pages 5--11 \mathnet{http://mi.mathnet.ru/co50} \crossref{https://doi.org/10.18287/0134-2452-2015-39-1-5-11}