Rotation of laser beams with zero of the orbital angular momentum

Kotlyar, V. V.; Хонина, С. Н.; Скиданов, Р. В.; Сойфер, В. А.

doi:10.1016/j.optcom.2007.01.059

Cited by 76 publications

(29 citation statements)

References 18 publications

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“…For a cosine-modulated phase as defined in Subsection 3.A.2, it is found that OAM 0, which is compliant with demonstrations using a quantum optics formalism [26]. For the DAC functions of Subsection 3.A.3, however, it yields…”

Section: Orbital Angular Momentumsupporting

confidence: 75%

Strehl ratio: a tool for optimizing optical nulls and singularities

Hénault

2015

J. Opt. Soc. Am. A

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In this paper a set of radial and azimuthal phase functions are reviewed that have a null Strehl ratio, which is equivalent to generating a central extinction in the image plane of an optical system. The study is conducted in the framework of Fraunhofer scalar diffraction, and is oriented toward practical cases where optical nulls or singularities are produced by deformable mirrors or phase plates. The identified solutions reveal unexpected links with the zeros of type-J Bessel functions of integer order. They include linear azimuthal phase ramps giving birth to an optical vortex, azimuthally modulated phase functions, and circular phase gratings (CPGs). It is found in particular that the CPG radiometric efficiency could be significantly improved by the null Strehl ratio condition. Simple design rules for rescaling and combining the different phase functions are also defined. Finally, the described analytical solutions could also serve as starting points for an automated searching software tool.

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Section: Orbital Angular Momentumsupporting

confidence: 75%

Strehl ratio: a tool for optimizing optical nulls and singularities

Hénault

2015

J. Opt. Soc. Am. A

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“…Based on the decomposition of a cosine angular dependent phase function in terms of angular harmonics, the transmission function exp{ia cos(mϕ)} was shown [5] to produce a diffraction pattern composed of 2m light spots arranged on a circumference. The coaxial interference of two vortex beams with identical topological charges and opposite signs was shown to produce a similar result [6,7].…”

Section: Introductionmentioning

confidence: 86%

Analyzing the Symmetry Properties of a Distribution in the Focal Plane for a Focusing Element with Periodic Angle Dependence of Phase

Хонина

Ustinov

2012

Advances in Optical Technologies

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We analyze the symmetry properties of the focal plane distribution when light is focused with an element characterized by a periodic angular dependent phase, sin (mϕ) or cos (mϕ). The majority of wave aberrations can be described using the said phase function. The focal distribution is analytically shown to be a real function at odd values of m, which provides a simple technique for generating designed wave aberrations by means of binary diffractive optical elements. Such a possibility may prove useful in tight focusing, as the presence of definite wave aberrations allows the focal spot size to be decreased. The analytical computations are illustrated by the numerical simulation, which shows that by varying the radial parameters the focal spot configuration can be varied, whereas the central part symmetry is mainly determined by the parity of m: for even the symmetry order is 2m and for odd is m.

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“…However, the rotation of a propagating wavefield associated to a beam, does not necessarily imply that the beam contains OAM, and conversely, a beam can show no apparent rotation in its transverse intensity structure when interfered with a plane wave and yet carry OAM. 15 Holoeye LC-2500 series. Table 1 respectively.…”

Section: Final Remarksmentioning

confidence: 99%

Unwound vortex beam shaping

López-Mariscal

Gutiérrez-Vega

2007

SPIE Proceedings

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A beam shaping method based on the superposition and unwinding of vortex beams is proposed. This method allows for the continuous tuning of the orbital angular momentum content and longitudinal intensity distribution of the beam. We provide with a closed expression for the orbital angular momentum content of a general superposition of vortex beams and find its relation to the functional parameters of the beams. We compare our theoretical predictions with experimental results with excellent fidelity.

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Rotation of laser beams with zero of the orbital angular momentum

Cited by 76 publications

References 18 publications

Strehl ratio: a tool for optimizing optical nulls and singularities

Strehl ratio: a tool for optimizing optical nulls and singularities

Analyzing the Symmetry Properties of a Distribution in the Focal Plane for a Focusing Element with Periodic Angle Dependence of Phase

Unwound vortex beam shaping

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