On Generation of Photons Carrying Orbital Angular Momentum in the Helical Undulator

Afanasev, A.; Mikhailichenko, A.

doi:10.48550/arxiv.1109.1603

Cited by 12 publications

(21 citation statements)

References 14 publications

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“…Inasmuch as the mode functions Φ(s, m, k ⊥ , k 3 ) coincide with the vacuum twisted photons for z > 0, we will call them as twisted photons. The probability of radiation of twisted photons by charged particles is described by formula (84). As for one charged particle moving along the trajectory (60), the probability to record a twisted photon produced by it becomes…”

Section: Thick 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: Thick Dielectric Platementioning

confidence: 99%

“…The probability to record a twisted photon produced by a charged particle moving along the trajectory ( 60) is given by (84). The expression under the modulus sign in (84) becomes…”

Section: Conducting Platementioning

confidence: 99%

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

2019

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“…Such electrons may produce the photons with the energies of the order 250 MeV, and this radiation is still described by formulas of classical electrodynamics fairly well. Furthermore, the classical currents radiating the twisted photons were already used in theoretical investigations [18][19][20][21][22][23], and the efficiency of generation of twisted photons by such sources was confirmed experimentally [24,25]. Of course, there are other more traditional ways to produce the twisted photons in the optical range using various optical devices [1][2][3][4][26][27][28][29], but from the theoretical point of view all these means can be reduced to the production of the twisted photons by classical currents in the formalism of electrodynamics of continuous media (see, e.g., [30]).…”

Section: Introductionmentioning

confidence: 99%

Probability of radiation of twisted photons by classical currents

2018

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The general formula for the probability of radiation of a twisted photon by a classical current is derived. The general theory of generation of twisted photons by undulators is developed. It is proved that the probability to record a twisted photon produced by a classical current is equal to the average number of twisted photons in a given state. The general formula for the projection of the total angular momentum of twisted photons with given the energy, the longitudinal projection of momentum, and the helicity is obtained. The symmetry property of the average number of twisted photons produced by a charged particle moving along a planar trajectory is found. The explicit formulas for the average number of twisted photons generated by undulators both in the dipole and wiggler regimes are obtained. It is established that, for the forward radiation of an ideal right-handed helical undulator, the harmonic number n of the twisted photon coincides with its projection of the total angular momentum m. As for the ideal left-handed helical undulator, we obtain that m = −n. It is found that the forward radiation of twisted photons by a planar undulator obeys the selection rule that n + m is an even number. It turns out that the average number of twisted photons produced by the undulator and detected off the undulator axis is a periodic function of m in a certain spectral band of the quantum numbers m. *

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“…Nowadays, the undulators are the standard tool for generating a powerful electromagnetic radiation with specified properties across a wide range of energies of radiated photons. It is known that the helical and planar undulators can be used as a bright source of twisted photons [1][2][3][4][5][6][7]. The properties of such photons were thoroughly investigated in [1,[8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Radiation of twisted photons in elliptical undulators

Kazinski,

Ryakin

2021

Preprint

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The explicit expressions for the average number of twisted photons radiated by a charged particle in an elliptical undulator in the classical approximation as well as in the approach accounting for the quantum recoil are obtained. It is shown that radiation emitted by a particle moving along an elliptical helix which evolves around the axis specifying the angular momentum of twisted photons obeys the selection rule: m + n is an even number, where m is a projection of the total angular momentum of a twisted photon and n is the harmonic number of the undulator radiation. This selection rule is a generalization of the previously known selection rules for radiation of twisted photons by circular and planar undulators and it holds for both classical and quantum approaches. The class of trajectories of charged particles that produce the twisted photon radiation obeying the aforementioned selection rule is described.

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On Generation of Photons Carrying Orbital Angular Momentum in the Helical Undulator

Cited by 12 publications

References 14 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

Probability of radiation of twisted photons by classical currents

Radiation of twisted photons in elliptical undulators

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