Analysis of the orbital angular momentum of superposition of diffraction-free Bessel beams with a complex shift
A.A. Kovalev, V.V. Kotlyar, A.P. Porfirev, D.S. Kalinkina

 

Image Processing Systems Institute, Russian Academy of Sciences,

Samara State Aerospace University

 

DOI: 10.18287/0134-2452-2015-39-2-172-180

Full text of article: Russian language.

Abstract:
We derive an analytical relationship for calculating the normalized orbital angular momentum (OAM) of the superposition of off-axis Bessel beams characterized by the same topological charge. This relationship enables generating nondiffractive beams with different intensity distributions but identical OAM. As a result of a complex shift of the Bessel beam, the transverse intensity distribution and OAM of the beam are also shown to change. We show that in the superposition of two or more complex-shifted Bessel beams, the OAM may remain unchanged, while the intensity distribution is changed. Numerical simulation is in good agreement with theory.

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

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