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We review basic physics and novel types of optical angular momentum. We start with a theoretical overview of momentum and angular momentum properties of generic optical fields, and discuss methods for their experimental measurements. In…

Optics · Physics 2015-09-04 Konstantin Y. Bliokh , Franco Nori

We propose a single phase-only optical element that transforms different orbital angular momentum (OAM) modes into localized spots at separated angular positions on a transverse plane. We refer to this element as an angular lens since it…

The concept of angular momentum is ubiquitous to many areas of physics. In classical mechanics, a system may possess an angular momentum which can be either transverse (e.g., in a spinning wheel) or longitudinal (e.g., for a fluidic vortex)…

The expression for the total angular momentum carried by a laser optical vortex beam, splits, in the paraxial approximation, into two terms which seem to represent orbital and spin angular momentum respectively. There are, however, two very…

Optics · Physics 2018-02-28 Elliot Leader

The transverse beam pattern, usually observed in experiment, is a result of averaging the optical-frequency oscillations of the electromagnetic field distributed over the beam cross section. An analytical criterion is derived that these…

Optics · Physics 2015-05-13 A. Ya. Bekshaev

Light beams carrying orbital angular momentum are key resources in modern photonics. In many applications, the ability of measuring the complex spectrum of structured light beams in terms of these fundamental modes is crucial. Here we…

We show that the transfer of the plane wave spectrum of the pump beam to the fourth-order transverse spatial correlation function of the two-photon field generated by spontaneous parametric down-conversion leads to the conservation and…

Quantum Physics · Physics 2009-11-11 S. P. Walborn , A. N. de Oliveira , R. S. Thebaldi , C. H. Monken

We demonstrate the Fourier relationship between angular position and angular momentum for a light mode. In particular we measure the distribution of orbital angular momentum states of light that has passed through an aperture and verify…

Fundamental and applied concepts concerning the ability of light beams to carry a certain mechanical angular momentum with respect to the propagation axis are reviewed and discussed. Following issues are included: Historical reference;…

Optics · Physics 2020-10-13 A. Bekshaev , M. Soskin , M. Vasnetsov

Recent studies show that the angular momentum, both spin and orbital, of rotating light beams possesses counter-intuitive characteristics. We present a new approach to the question of orbital angular momentum of light based on the complex…

General Physics · Physics 2009-11-13 S. C. Tiwari

We set forth a method to analyze the orbital angular momentum of a light field. Instead of using the canonical formalism for the conjugate pair angle-angular momentum, we model this latter variable by the superposition of two independent…

Quantum Physics · Physics 2013-12-20 L. L. Sanchez-Soto , A. B. Klimov , P. de la Hoz , I. Rigas , J. Rehacek , Z. Hradil , G. Leuchs

A circularly polarized rotationally symmetric paraxial laser beams carries hbar angular momentum per photon as spin. Focussing the beam with a rotationally symmetric lens cannot change this angular momentum flux, yet the focussed beam must…

Optical modes with different orbital angular momentums (OAMs) per photon may be sorted by Mach-Zehnder interferometers incorporated with beam rotators, without resorting to OAM mode converters.

Quantum Physics · Physics 2009-11-07 Haiqing Wei , Xin Xue

We study the interaction of a light beams carrying angular momentum with a single, trapped and well localized ion. We provide a detailed calculation of selection rules and excitation probabilities for quadrupole transitions. The results…

Atomic Physics · Physics 2012-04-24 Christian Tomás Schmiegelow , Ferdinand Schmidt-Kaler

Traditionally, the angular momentum of light is calculated for "bullet-like" electromagnetic wave packets, although in actual optical experiments "pencil-like" beams of light are more commonly used. The fact that a wave packet is bounded…

Optics · Physics 2014-03-14 Marco Ornigotti , Andrea Aiello

We propose a scheme to distinguish the orbital angular momentum state of the Laguerre-Gaussian (LG) beam based on the electromagnetically induced transparency modulated by a microwave field in atomic ensembles. We show that the transverse…

Atomic Physics · Physics 2012-08-16 Liang Han , Mingtao Cao , Ruifeng Liu , Hao Liu , Wenge Guo , Dong Wei , Shaoyan Gao , Pei Zhang , Hong Gao

We develop the quantum theory of transverse angular momentum of light beams. The theory applies to paraxial and quasi-paraxial photon beams in vacuum, and reproduces the known results for classical beams when applied to coherent states of…

Quantum Physics · Physics 2015-05-18 Andrea Aiello , Christoph Marquardt , Gerd Leuchs

We present a novel method for efficient sorting of photons prepared in states of orbital angular momentum (OAM) and angular position (ANG). A log-polar optical transform is used in combination with a holographic beam-splitting method to…

Quantum Physics · Physics 2012-11-30 Malcolm N. O'Sullivan , Mohammad Mirhosseini , Mehul Malik , Robert W. Boyd

A convolutional neural network is used to align an orbital angular momentum sorter in a transmission electron microscope. The method is demonstrated using simulations and experimentally. As a result of its accuracy and speed, it offers the…

Instrumentation and Detectors · Physics 2021-01-13 E. Rotunno , A. H. Tavabi , P. Rosi , S. Frabboni , P. Tiemeijer , R. E. Dunin-Borkowski , V. Grillo

The orbital angular momentum (OAM) spatial degree of freedom of light has been widely explored in many applications, including telecommunications, quantum information and light-based micro-manipulation. The ability to separate and…

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