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Holographic generation and orbital angular momentum of high-order Mathieu beams : Special issue on atoms and angular momentum of light

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TLDR
In this article, the first experimental generation of high-order Mathieu beams and confirm their propagation invariance over a limited range were reported, using a computer-generated phase hologram.
Abstract
We report the first experimental generation of high-order Mathieu beams and confirm their propagation invariance over a limited range. In our experiment we use a computer-generated phase hologram. The peculiar behaviour of the vortices in Mathieu beams gives rise to questions about their orbital-angular-momentum content, which we calculate by performing a decomposition in terms of Bessel beams.

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Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities

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Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam

TL;DR: Bessel beams do not diverge and, furthermore, if part of the beam is obstructed or distorted the beam reconstructs itself after a characteristic propagation distance, which may be utilized within optical tweezers to trap particles in multiple, spatially separated sample cells with a single beam.
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Quantum Entanglement of High Angular Momenta

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Advanced optical trapping by complex beam shaping

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Optical trapping and binding

TL;DR: The underlying theory of optical traps is outlined, and many of the physical observations that have been made in such systems are explored, including 'optical binding', where trapped objects interact with one another through the trapping light field.
References
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Book

A Course of Modern Analysis

TL;DR: The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.
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Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes.

TL;DR: Laser light with a Laguerre-Gaussian amplitude distribution is found to have a well-defined orbital angular momentum and an astigmatic optical system may be used to transform a high-order LaguERre- Gaussian mode into aHigh-order Hermite-Gaussia mode reversibly.
Journal ArticleDOI

Diffraction-free beams.

TL;DR: The first experimental investigation of nondiffracting beams, with beam spots as small as a few wavelengths, can exist and propagate in free space, is reported.
Journal ArticleDOI

Exact solutions for nondiffracting beams. I. The scalar theory

TL;DR: In this paper, exact nonsingular solutions of the scalar-wave equation for beams that are non-diffracting were presented, which means that the intensity pattern in a transverse plane is unaltered by propagating in free space.
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