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Liu P, Yan J, Afanasev A, Benson SV, Hao H, Mikhailov SF, Popov VG, Wu YK. Generation of superposed orbital angular momentum beams using a free-electron laser oscillator. OPTICS EXPRESS 2024; 32:2235-2244. [PMID: 38297758 DOI: 10.1364/oe.510649] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/30/2023] [Accepted: 12/21/2023] [Indexed: 02/02/2024]
Abstract
With wavelength tunability, free-electron lasers (FELs) are well-suited for generating orbital angular momentum (OAM) beams in a wide photon energy range. We report here the first experimental demonstration of OAM beam generation using an oscillator FEL with the tens of picosecond pulse duration. Lasing around 458 nm, we have produced the four lowest orders of superposed Laguerre-Gaussian beams using a very long FEL resonator of 53.73 m. The produced beams have good beam quality, excellent stability, and substantial average power. We have also developed a pulsed operation mode for these beams with a highly reproducible temporal structure for a range of repetition rate of 1-30 Hz. This development can be extended to short wavelengths, for example to x-rays using a future x-ray FEL oscillator. The OAM operation of such a storage-ring FEL also paves the way for the generation of OAM gamma-ray beams via inverse Compton scattering.
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Zhao Y, Yao Y, Xu X, Xu K, Yang Y, Tian J. Orbital angular momentum density characteristics of tightly focused polarized Laguerre-Gaussian beam. APPLIED OPTICS 2020; 59:7396-7407. [PMID: 32902508 DOI: 10.1364/ao.399033] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/01/2020] [Accepted: 07/27/2020] [Indexed: 06/11/2023]
Abstract
The orbital angular moment (OAM) of light has been proved to be useful in plenty of applications. By transmitting the OAM of the focused light field to a particle, it will be orbited around the optical axis. Therefore, it is necessary to study the OAM distribution of the focused light field used to manipulate the particles. In this application, the widely used paraxial approximation is no longer sufficient due to the tightly focused beam. We employ the higher-order Poincaré sphere to represent the Laguerre-Gaussian (LG) beams with arbitrary polarization. Then the Rayleigh-Sommerfeld integral method and the q-parameter method are used to derive the analytical expression of the light field on the focal plane. Based on this, the OAM density expression of the tightly focused LG beam is derived. In the numerical simulation, we study and analyze the unique intensity distributions and OAM distributions of tightly focused linear polarized, radial polarized, and circular polarized LG beams. The results could be leveraged to further explore the applications of the polarized vortex beam.
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Paroli B, Siano M, Potenza MAC. Measuring the topological charge of orbital angular momentum radiation in single-shot by means of the wavefront intrinsic curvature. APPLIED OPTICS 2020; 59:5258-5264. [PMID: 32543547 DOI: 10.1364/ao.392341] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/10/2020] [Accepted: 05/09/2020] [Indexed: 06/11/2023]
Abstract
We show a method to measure the topological charge of orbital angular momentum radiation in single-shot by exploiting the intrinsic local curvature of the helicoidal wavefront. The method is based on oriented Hartmann cells in a suitable detection scheme. We show experimental results and propose a Shack-Hartmann configuration with sectored photodiodes to improve resolution and detection time. The method can be applied for telecommunication applications in the far field of the radiation beam and more in general to measure the topological charge from a small portion of the radiation wavefront.
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Gauthier D, Kaassamani S, Franz D, Nicolas R, Gomes JT, Lavoute L, Gaponov D, Février S, Jargot G, Hanna M, Boutu W, Merdji H. Orbital angular momentum from semiconductor high-order harmonics. OPTICS LETTERS 2019; 44:546-549. [PMID: 30702675 DOI: 10.1364/ol.44.000546] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/20/2018] [Accepted: 12/25/2018] [Indexed: 06/09/2023]
Abstract
Light beams carrying orbital angular momentum (OAM) have led to stunning applications in various fields from quantum information to microscopy. We examine OAM from the recently observed high-harmonic generation (HHG) in semiconductor crystals. HHG from solids could be a valuable approach for integrated high-flux short-wavelength coherent light sources. First, we verify the transfer and conservation of the OAM in the strong-field regime of interaction from the generation laser to the harmonics. Secondly, we create OAM beams by etching a spiral zone structure directly at the surface of a zinc oxide crystal. Such diffractive optics act on the generated harmonics and produces focused optical vortices with sub-micrometric size.
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Maruyama T, Hayakawa T, Kajino T. Compton Scattering of γ-Ray Vortex with Laguerre Gaussian Wave Function. Sci Rep 2019; 9:51. [PMID: 30631103 PMCID: PMC6328638 DOI: 10.1038/s41598-018-37096-3] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/04/2018] [Accepted: 11/28/2018] [Indexed: 11/11/2022] Open
Abstract
In this work, we report calculation for Compton scattering of a γ-ray vortex with a wave function of Laguerre Gaussian on an electron in the framework of the relativistic quantum mechanics. We consider the coincidence measurement of the scattered photon and the scattered electron from each Compton scattering. The momentum of the scattered photon distributes outside of the reaction plane determined by the incident photon and the scattered electron, and the energy of the scattered photon also distributes, when the scattered angle of the electron is simultaneously measured. These distributions depend on the angular momentum and the node number of the Laguerre Gaussian function of the incident photon. Thus, the coincident measurement for Compton scattering is useful to identify the nature of the vortex photon wave function.
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Affiliation(s)
- Tomoyuki Maruyama
- College of Bioresource Sciences, Nihon University, Fujisawa, 252-0880, Japan. .,National Astronomical Observatory of Japan, 2-21-1 Osawa, Mitaka, Tokyo, 181-8588, Japan.
| | - Takehito Hayakawa
- National Institutes for Quantum and Radiological Science and Technology, Tokai, Ibaraki, 319-1106, Japan
| | - Toshitaka Kajino
- National Astronomical Observatory of Japan, 2-21-1 Osawa, Mitaka, Tokyo, 181-8588, Japan.,Beihang University, School of Physics, Int. Center for Big-Bang Cosmology and Element Genesis, Beijing, 100083, China.,Department of Astronomy, Graduate School of Science, University of Tokyo, Bunkyo-ku, Tokyo, 113-0033, Japan
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Chen YY, Li JX, Hatsagortsyan KZ, Keitel CH. γ-Ray Beams with Large Orbital Angular Momentum via Nonlinear Compton Scattering with Radiation Reaction. PHYSICAL REVIEW LETTERS 2018; 121:074801. [PMID: 30169078 DOI: 10.1103/physrevlett.121.074801] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/13/2018] [Indexed: 06/08/2023]
Abstract
Gamma-ray beams with a large angular momentum may affect astrophysical phenomena, which calls for appropriate earth-based experimental investigations. For this purpose, we investigate the generation of well-collimated γ-ray beams with a very large orbital angular momentum using nonlinear Compton scattering of a strong laser pulse of twisted photons at ultrarelativistic electrons. Angular momentum conservation among absorbed laser photons, quantum radiation, and electrons is numerically demonstrated in the quantum radiation-dominated regime. We point out that the angular momentum of the absorbed laser photons is not solely transferred to the emitted γ photons, but due to radiation reaction shared between the γ photons and interacting electrons. The efficiency of the angular momentum transfer is optimized with respect to the laser and electron beam parameters. The accompanying process of electron-positron pair production is furthermore shown to enhance the orbital angular momentum gained by the γ-ray beam.
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Affiliation(s)
- Yue-Yue Chen
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - Jian-Xing Li
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
- School of Science, Xi'an Jiaotong University, Xi'an 710049, China
| | | | - Christoph H Keitel
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
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Taira Y, Hayakawa T, Katoh M. Gamma-ray vortices from nonlinear inverse Thomson scattering of circularly polarized light. Sci Rep 2017; 7:5018. [PMID: 28694458 PMCID: PMC5504041 DOI: 10.1038/s41598-017-05187-2] [Citation(s) in RCA: 50] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2017] [Accepted: 05/30/2017] [Indexed: 11/17/2022] Open
Abstract
Inverse Thomson scattering is a well-known radiation process that produces high-energy photons both in nature and in the laboratory. Nonlinear inverse Thomson scattering occurring inside an intense light field is a process which generates higher harmonic photons. In this paper, we theoretically show that the higher harmonic gamma-ray produced by nonlinear inverse Thomson scattering of circularly polarized light is a gamma-ray vortex, which means that it possesses a helical wave front and carries orbital angular momentum. Our work explains a recent experimental result regarding nonlinear inverse Thomson scattering that clearly shows an annular intensity distribution as a remarkable feature of a vortex beam. Our work implies that gamma-ray vortices should be produced in various situations in astrophysics in which high-energy electrons and intense circularly polarized light fields coexist. Nonlinear inverse Thomson scattering is a promising radiation process for realizing a gamma-ray vortex source based on currently available laser and accelerator technologies, which would be an indispensable tool for exploring gamma-ray vortex science.
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Affiliation(s)
- Yoshitaka Taira
- Research Institute for Measurement and Analytical Instrumentation, National Metrology Institute of Japan, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba Central 2, 1-1-1 Umezono, Tsukuba, Ibaraki, 305-8568, Japan. .,Department of Physics and Astronomy, Mississippi State University, 355 Lee Blvd., 125 Hilbun Hall, Mississippi State, Mississippi, 39762, USA.
| | - Takehito Hayakawa
- National Institutes for Quantum and Radiological Science and Technology, Tokai, Ibaraki, 319-1106, Japan.,National Astronomical Observatory of Japan, Mitaka, Tokyo, 181-8588, Japan
| | - Masahiro Katoh
- Institute for Molecular Science, National Institutes of Natural Sciences/School of Physical Sciences, SOKENDAI (The Graduate University for Advanced Studies), Okazaki, Aichi, 444-8585, Japan
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Paroli B, Potenza MAC. Radiation emission processes and properties: synchrotron, undulator and betatron radiation. ADVANCES IN PHYSICS: X 2017. [DOI: 10.1080/23746149.2017.1383185] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022] Open
Affiliation(s)
- B. Paroli
- Dipartimento di Fisica, Universitá degli Studi di Milano and INFN Sezione di Milano, Milano, Italy
| | - M. A. C. Potenza
- Dipartimento di Fisica, Universitá degli Studi di Milano and INFN Sezione di Milano, Milano, Italy
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Liu X, Cassou K, Dupraz K, Favier P, Huang WH, Martens A, N'Diaye CF, Tang CX, Williams T, Yan LX, Zomer F. S-shaped non-paraxial corrections to general astigmatic beams. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. A, OPTICS, IMAGE SCIENCE, AND VISION 2017; 34:576-582. [PMID: 28375327 DOI: 10.1364/josaa.34.000576] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Non-paraxial perturbation wave equations are solved for general astigmatic Gaussian beams for the first time, to the best of our knowledge, in the angular spectrum representation by taking into account generic boundary conditions. Expressions for second-order corrections are derived and exemplified with an optical cavity made of two cylindrical mirrors. Non-paraxial corrections can lead, depending on the choice of boundary conditions, to a transverse S-shaped beam mode, which has been qualitatively been observed in a highly divergent non-planar four-mirror cavity.
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