Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit

Bogdanov, O.V.; Kazinski, P. O.; Lazarenko, G. Yu.

doi:10.1103/physrevd.99.116016

Cited by 43 publications

(53 citation statements)

References 103 publications

(269 reference statements)

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“…Let us briefly recapitulate the results. Starting from the general formulas for the radiation probability of twisted photons with quantum recoil taken into account that were derived in [26], we obtained simpler formulas under the assumptions that the radiated photons are paraxial and the energy of a charged particle as it is given by the Lorentz equations can be regarded as a constant. The radiation of both scalar and Dirac charged particles was investigated.…”

Section: Resultsmentioning

confidence: 99%

Planar wiggler as a tool for generating hard twisted photons

2020

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Simple formulas for the probability of radiation of twisted photons by scalar and Dirac particles with quantum recoil taken into account are derived. We show that the quantum recoil does not spoil the selection rule for the forward radiation of twisted photons in the planar undulator: m + n is an even number, where n is the harmonic number and m is the projection of the total angular momentum of the radiated twisted photon. The explicit formulas for the radiation probability of twisted photons produced in the planar wiggler are obtained with account for the quantum recoil. The radiation of twisted photons by GeV electrons in the planar wiggler and in the crystalline undulator is investigated. *

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Section: Resultsmentioning

confidence: 99%

Planar wiggler as a tool for generating hard twisted photons

2020

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“…In this case, the main part of radiation is concentrated at n ⊥ ∼ κ/γ [34]. As for the incoherent interference factor, the conditions when one can take θ = π and β ⊥ = 0 become…”

Section: Particular Casesmentioning

confidence: 99%

“…where we have taken into account that the main part of radiation is concentrated at n ⊥ ∼ 1/(γκ) [34]. As for the incoherent interference factor, one needs the fulfillment of (25) and…”

Section: Particular Casesmentioning

confidence: 99%

“…In the soft X-ray spectral range and below, the twisted photons can be generated indirectly by the usual means using spatial light modulators, spiral phase plates, diffraction gratings with dislocations, etc (see for review [11][12][13][14][15][16]). However, in order to produce hard twisted photons or elaborate a bright source of them, one has to employ direct processes involving the radiation by bunches of relativistic particles [2][3][4][5][6][7][8][9][10][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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Probability of radiation of twisted photons by cold relativistic particle bunches

2020

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The probability to record a twisted photon produced by a cold relativistic particle bunch of charged particles is derived. The radiation of twisted photons by such particle bunches in stationary electromagnetic fields and in propagating electromagnetic waves is investigated. Several general properties of both incoherent and coherent contributions to the radiation probability of twisted photons are established. It is shown that the incoherent radiation by bunches of particles traversing normally an isotropic dispersive medium (the edge, transition, and Vavilov-Cherenkov radiations) and by bunches moving in a helical undulator does not depend on the azimuthal distribution of particles in the bunch and is the same as for round bunches. As for planar undulators, the incoherent radiation by particle bunches is the same as for the bunches symmetric under reflection with respect to the axis of a twisted photon detector. At high energies of recorded twisted photons, this property is universal and holds for the forward incoherent radiation by any cold relativistic particle bunch. The coherent radiation of twisted photons by such particle bunches obeys the property that we call the addition rule. This rule provides a simple means to describe the properties of coherent radiation of twisted photons. Furthermore, the strong addition rule is established for the coherent radiation by sufficiently long helical bunches. The use of this rule allows one to elaborate superradiant pure sources of twisted photons. The coherent radiation by helical bunches is considered for the edge, transition, and Vavilov-Cherenkov processes and for particles moving in undulators and plane laser waves with circular polarization. In these cases, the sum rules are deduced for the total probability to record a twisted photon and for the projection of the total angular momentum per photon. The explicit expressions for both incoherent and coherent interference factors are derived for several simple bunch profiles. *

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“…It turns out that a charged particle moving uniformly along the helix axis of such a medium is a pure source of twisted photons. Its radiation obeys the selection rules that are pertinent to ideal helical undulators [54,[73][74][75][76][77][78][79][80][81][82][83] or to scattering on helical targets [82]. This fact has a simple explanation in terms of transition scattering of the permittivity wave on the charged particle.…”

Section: Introductionmentioning

confidence: 99%

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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Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit

Cited by 43 publications

References 103 publications

Planar wiggler as a tool for generating hard twisted photons

Planar wiggler as a tool for generating hard twisted photons

Probability of radiation of twisted photons by cold relativistic particle bunches

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

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