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Near-field propagation of vortex beams: Models and computation algorithms

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Near-field propagation of vortex beams: Models and computation algorithms

Content Provider	Springer Nature Link
Author	Khonina, S. N. Ustiv, A. V. Kovalyov, A. A. Volotovsky, S. G.
Copyright Year	2014
Abstract	We have analyzed the diffraction of a plane wave and a vortex beam on a circular micro-aperture in the near field (a few wavelengths away from the source) using different models and computation algorithms: the Reyleigh-Sommerfeld integral, plane wave expansion method, and finite-difference time-domain (FDTD) method.Comparison of the models showed that the plane wave expansion method modified by the Mansuripur matrix allows us to avoid the singularity in the region of high spectral frequencies and take into account all components of the vector field when the incident beam is bounded with an aperture. Comparison of the computation algorithms in respect to accuracy and computation time showed that it is possible to use integral methods even if the distance from the optical element is less than a wavelength.The simulation of the near-field diffraction of a vortex beam on a circular micro-aperture allowed us to discover oscillations of the vortex beam in the central shade area: the size of the light vortex oscillates as the beam propagates and can be much smaller than it is predicted by the paraxial theory. In addition, the expressions obtained for vortex beams show that near the axis the total intensity will not be zero when the order of the vortex is \|m\| ≤ 2.
Starting Page	50
Ending Page	73
Page Count	24
File Format	PDF
ISSN	1060992X
Journal	Optical Memory and Neural Networks
Volume Number	23
Issue Number	2
e-ISSN	19347898
Language	English
Publisher	Pleiades Publishing
Publisher Date	2014-07-05
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	vortex beam diffraction on a round aperture Reyleigh-Sommerfeld integral plane wave expansion Mansuripur modification finite-difference time-domain method Information Storage and Retrieval Complexity
Content Type	Text
Resource Type	Article
Subject	Computer Science Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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