Angular momentum of radiation at axial channeling

Epp, V.; Janz, Julia; Zotova, M. O.

doi:10.1016/j.nimb.2018.09.013

Cited by 20 publications

(15 citation statements)

References 19 publications

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“…Notice that, in the paraxial regime, n ⊥ 1, even the twisted photons with m = 0 and definite helicity s possess a nontrivial phase front corresponding to the orbital angular momentum l = m − s = −s [17]. The probability to record a twisted photon radiated by one particle moving along a straight line parallel to the detector axis at a distance |x + | is obtained from (90) by the substitution…”

Section: Dielectric Platementioning

confidence: 99%

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Probability of radiation of twisted photons in an inhomogeneous isotropic dispersive medium

2019

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The general formula for probability to record a twisted photon produced by a charged particle moving in an inhomogeneous isotropic dispersive medium is derived. The explicit formulas for probability to record a twisted photon are obtained for the radiation of a charged particle traversing a dielectric plate or an ideally conducting foil. It is shown that, in the case when the charged particle moves along the detector axis, all the radiated twisted photons possess a zero projection of the total angular momentum and the probability of their radiation is independent of the photon helicity. The radiation produced by helically microbunched beams of charged particles is also considered. The fulfillment of the strong addition rule for the projection of the total angular momentum of radiated twisted photons is demonstrated. Thus the helical beams allow one to generate coherent transition and Vavilov-Cherenkov radiations with large projections of the total angular momentum. The radiation produced by charged particles in a helical medium is studied. Typical examples of such a medium are metallic spirals and cholesteric liquid crystals. It is shown that the radiation of a charged particle moving along the helical axis of such a medium is a pure source of twisted photons. *

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Section: Dielectric Platementioning

confidence: 99%

“…Moreover, it does not depend on the photon helicity. The probability to radiate a twisted photon by a bunch of particles moving along parallel trajectories is given by (90). The radiation of twisted photons by helically microbunched beams of particles obeys the strong addition rule and the sum rule (91) is satisfied.…”

Section: Thick Dielectric Platementioning

confidence: 99%

Probability of radiation of twisted photons in an inhomogeneous isotropic dispersive medium

2019

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“…The hard twisted photons can be employed to study the properties of nuclear matter by exciting higher multipole transitions in nuclei and hadrons (see, e.g., the discussion in [24,25,41,42]). Rather recently, it was shown that hard twisted photons can be generated in channeling radiation [43,44] and strong laser pulses [41,[45][46][47][48]. In Sec.…”

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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“…As the second example, we consider the radiation of twisted photons by crystalline undulators [32,33]. The possibility of creation of radiation with large angular momentum by channeling of charged particles was pointed out in [34] (see also [35]). Here we study a relatively soft radiation generated by particles moving in a specially designed crystal.…”

Section: Introductionmentioning

confidence: 99%

Probability of radiation of twisted photons by axially symmetric bunches of particles

Bogdanov

Kazinski

2019

Eur. Phys. J. Plus

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The effect of a finite width of a particle bunch on radiation of twisted photons is studied. The general formulas connecting the radiation probability distribution of twisted photons produced by bunches of identical particles with the radiation probability distribution of twisted photons generated by one particle are obtained for axially symmetric bunches. The bunch is called axially symmetric if it is axially symmetric with respect to the detector axis at some instant of time and all the particles in the bunch move along parallel trajectories. The general sum rules for the probability of radiation of twisted photons by axially symmetric bunches are established. In particular, we prove that the projection of the average total angular momentum of radiated twisted photons per particle in the bunch does not depend on the radial profile of the bunch. The uniform, Gaussian, and exponential radial bunch profiles are considered in detail. The radiation of axially symmetric bunches in ordinary and crystalline undulators is investigated. The selection rules for radiation of twisted photons by one particle in undulators are violated when the finite width of the particle bunch is taken into account. We find the condition when this violation is marginal. The form of the radiation probability distribution of twisted photons becomes universal for wide incoherent axially symmetric particle bunches. We completely describe these universal distributions. *

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Angular momentum of radiation at axial channeling

Cited by 20 publications

References 19 publications

Probability of radiation of twisted photons in an inhomogeneous isotropic dispersive medium

Probability of radiation of twisted photons in an inhomogeneous isotropic dispersive medium

Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit

Probability of radiation of twisted photons by axially symmetric bunches of particles

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