Beams of photons with nonzero projections of orbital angular momenta: new results

Knyazev, B. A.; Serbo, V.G.

doi:10.3367/ufne.2018.02.038306

Cited by 101 publications

(79 citation statements)

References 145 publications

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“…4). Currently, the twisted photons of different spectral ranges are used in fundamental science and technology [27][28][29][30][31][32]. In the optical range and below, the detectors are designed allowing to decompose an arbitrary electromagnetic radiation into twisted photons [36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit

2019

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The semiclassical general formula for the probability of radiation of twisted photons by ultrarelativistic scalar and Dirac particles moving in the electromagnetic field of a general form is derived. This formula is the analog of the Baier-Katkov formula for the probability of radiation of one plane wave photon with the quantum recoil taken into account. The derived formula is used to describe the radiation of twisted photons by charged particles in undulators and laser waves. Thus, the general theory of undulator radiation of twisted photons and radiation of twisted photons in the nonlinear Compton process is developed with account for the quantum recoil. The explicit formulas for the probability to record a twisted photon are obtained in these cases. In particular, we found that the quantum recoil and spin degrees of freedom increase the radiation probability of twisted photons in comparison with the formula for scalar particles without recoil. In the range of applicability of the semiclassical formula, the selection rules for undulator radiation established in the purely classical framework are not violated. The manifestation of the blossoming out rose effect in the nonlinear Compton process in a strong laser wave with circular polarization and in the wiggler radiation is revealed. Several examples are studied: the radiation of MeV twisted photons by 180 GeV electrons in the wiggler; the radiation of twisted photons by 256 MeV electrons in strong electromagnetic waves produced by the CO 2 and Ti:Sa lasers; and the radiation of MeV twisted photons by 51.1 MeV electrons in the electromagnetic wave generated by the FEL with photon energy 1

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Section: Introductionmentioning

confidence: 99%

Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit

2019

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“…There is an even larger literature on scattering processes in which only one of the initial particles is twisted, see for instance reviews[4,6] and the recent calculation of twisted neutron scattering on nuclei[11]. Although this collision setting is perhaps easier to achieve experimentally, it does not share the essential novelties offered by two twisted particle collision.…”

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confidence: 99%

Kinematic surprises in twisted-particle collisions

et al. 2020

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Twisted particles" refer to non-plane-wave states of photons, electrons, hadrons, or any other particle which carry non-zero, adjustable orbital angular momentum with respect to their average propagation direction. Twisted photons and electrons have already been experimentally demonstrated, and one can expect creation of twisted states of other particles in future. Such states can be brought in collisions, offering a completely new degree of freedom in collider experiments and, especially, a novel tool for hadronic physics. We recently showed that 2 → 1 processes with two twisted particles such as resonance production in twisted e + e − annihilation give access to observables which are difficult or impossible to probe in the usual plane-wave collisions. In this paper, we discuss in detail surprising kinematic features of this process, focusing on spinless particle annihilation. They include (1) a new dimension in the final momentum space available in twisted annihilation, (2) interference fringes emerging in the cross section as a function of the total energy, and (3) the builtin mass spectrometric capability of this process, that is, simultaneous production and automatic angular separation of several resonances with different masses in monochromatic twisted particle annihilation experiment running at fixed energy. All these features cannot be obtained in the usual plane wave collision setting.

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“…in the cylindrical coordinate system {r, φ r , z} is characterized by the wave numbers κ, l, k z = √ k 2 − κ 2 (see, e. g. [20]). The wave number l is often called "the topological charge."…”

Section: Diffraction Of the Bessel Wavementioning

confidence: 99%

Diffraction of bessel beams on 2D amplitude gratings—a new branch in the talbot effect study

Kotelnikov

Kameshkov

Knyazev

2020

J. Opt.

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In this paper, an analytical theory for the diffraction of a Bessel beam of arbitrary order J l (κr) on a 2D amplitude grating is presented. The diffraction pattern in the main and fractional Talbot planes under certain conditions is a lattice of annular microbeams, the diameters of which depend on the grating period, the illuminating beam diameter, the number of the Talbot plane, and the topological charge l. For the rings near the optical axis, the latter reproduces l of the illuminating beam. Experiments carried out on the Novosibirsk free electron laser at a wavelength λ = 141 µm using gratings with hole diameters of down to d ≈ 2λ, as well as, the numerical simulations, well support the theory. Since the Laguerre-Gaussian beams can be represented as a superposition of Bessel beams, results of this paper can be applied to the analysis of the Talbot effect with the Laguerre-Gaussian beams.

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Beams of photons with nonzero projections of orbital angular momenta: new results

Cited by 101 publications

References 145 publications

Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit

Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit

Kinematic surprises in twisted-particle collisions

Diffraction of bessel beams on 2D amplitude gratings—a new branch in the talbot effect study

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