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In this paper we consider geometrical two-photon optics of Bessel-Gaussian modes generated in spontaneous parametric down-conversion of a Gaussian pump beam. We provide a general theoretical expression for the orbital angular momentum (OAM)…

Quantum Physics · Physics 2016-11-26 Melanie McLaren , Jacquiline Romero , Miles J. Padgett , Filippus S. Roux , Andrew Forbes

In this article we investigate the orbital angular momentum spectrum of photons produced in parametric down conversion process. We study how the transverse profile of the pump mode affects the spectrum as compared to a gaussian pump beam.…

Quantum Physics · Physics 2019-05-08 Anindya Banerji , Ali Anwar , Hrushikesh Sable , Nijil Lal , Ravindra P. Singh

Spontaneous parametric down conversion has been shown to be a reliable source of entangled photons. Amongst the wide range of properties that have been shown to be entangled, it is the orbital angular momentum that is the focus of our…

Quantum Physics · Physics 2015-03-17 Filippo M. Miatto , Alison M. Yao , Stephen M. Barnett

We study the generation of propagation invariant photons with orbital angular momentum by spontaneous parametric down conversion (SPDC) using a Bessel-Gauss pump beam. The angular and conditional angular spectra are calculated for an…

Quantum Physics · Physics 2015-06-19 Y. Jerónimo-Moreno , R. Jáuregui

We propose an orbital angular momentum (OAM) quantum holography scheme based on multi-mode Bessel-Gaussian (MBG) beams. Entangled photon pairs are generated through spontaneous parametric down-conversion (SPDC) process, and the axis prism…

Optics · Physics 2026-04-29 Jinjin Li , Chaoying Zhao

We introduce a novel and simple modulation technique to tailor optical beams with a customized amount of orbital angular momentum (OAM). The technique is based on the modulation of the angular spectrum of a seed beam, which allows us to…

We study the correlations in wave vector space of photon pairs generated by type I spontaneous parametric down conversion using a Gaussian pump beam. We analyze both moderate focused and highly focused regimes taking special attention to…

Quantum Physics · Physics 2015-06-19 Yasser Jeronimo-Moreno , R. Jáuregui

We present generalized expressions to calculate the orbital angular momentum for invariant beams using scalars potentials. The solutions can be separated into transversal electric TE, transversal magnetic TM and transversal electromagnetic…

Optics · Physics 2020-08-11 Irving Rondon , Francisco Soto-Eguibar

Orbital angular momentum (OAM) entanglement is investigated in the Bessel-Gauss (BG) basis. Having a readily adjustable radial scale, BG modes provide a more favourable basis for OAM entanglement over Laguerre-Gaussian (LG) modes. The OAM…

Coincidence-structures in the transverse plane of Type-II spontaneous parametric down-conversion carrying orbital angular momentum are obtained. Azimuthal symmetry breaking around the pump beam direction reveals itself on these quantum…

Quantum Physics · Physics 2009-11-13 Geraldo A. Barbosa

Recent developments in the understanding of optical angular momentum have resulted in many demonstrations of unusual optical phenomena, such as optical beams with orbital angular momentum and transverse spinning light. Here we detail novel…

Optics · Physics 2025-02-05 Kayn A. Forbes , Vittorio Aita , Anatoly V. Zayats

The measurement of high-dimensional entangled states of orbital angular momentum prepared by spontaneous parametric down-conversion can be considered in two separate stages: a generation stage and a detection stage. Given a certain number…

Quantum Physics · Physics 2015-06-03 F. M. Miatto , D. Giovannini , J. Romero , S. Franke-Arnold , S. M. Barnett , M. J. Padgett

Orbital Angular Momentum (OAM) modes are an important resource used in various branches of quantum science and technology due to their unique helical structure and countably infinite basis. Generating light that simultaneously carries…

Quantum Physics · Physics 2025-01-29 D. Scharwald , L. Gehse , P. R. Sharapova

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

The transverse modal identity of a freely propagating optical beam is ordinarily fixed at the point of generation. We show that the conical angular spectrum of a Bessel beam establishes a one-to-one mapping between radial beam position and…

Optics · Physics 2026-05-19 Henry P. Evans , Layton A. Hall

Various superpositions of Bessel-Gaussian beams and modified Bessel Gaussian beams are considered. Two selected parameters characterizing these beams, with respect to which the superpositions are constructed, are the topological index $n$…

Optics · Physics 2023-07-12 Tomasz Radożycki

We present a novel approach to generate Bessel-Gauss modes of arbitrary integer order and well-defined optical angular momentum in a gradient index medium of transverse parabolic profile. The propagation and coherence properties, as well as…

Optics · Physics 2026-02-23 S. Cruz y Cruz , Z. Gress , P. Jimenez-Macias , O. Rosas-Ortiz

We present a study of orbital angular momentum transfer from pump to down-converted beams in a type-II Optical Parametric Oscillator. Cavity and anisotropy effects are investigated and demostrated to play a central role in the transverse…

Optics · Physics 2011-07-08 M. Martinelli , J. A. O. Huguenin , P. Nussenzveig , A. Z. Khoury

We report a proof-of-principle experiment demonstrating that appropriately chosen set of Hermite-Gaussian modes constitutes a Schmidt decomposition for transverse momentum states of biphotons generated in the process of spontaneous…

Quantum Physics · Physics 2015-03-19 S. S. Straupe , D. P. Ivanov , A. A. Kalinkin , I. B. Bobrov , S. P. Kulik

We study the two-photon detection amplitude of the down-converted beams in spontaneous parametric down-conversion when the physical variable of orbital angular momentum is involved, taking into account both conservation and non-conservation…

Quantum Physics · Physics 2007-05-23 Sheng Feng , Chao-Hsiang Chen , Geraldo A. Barbosa , Prem Kumar
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