Helical Phase Structure of Radiation from an Electron in Circular Motion

Katoh, Masahiro; Fujimoto, Masaki; Mirian, Najmeh; Konomi, Taro; Taira, Yoshitaka; Kaneyasu, T.; Hosaka, Masahito; Yamamoto, Naoto; Mochihashi, A.; Takashima, Yoshinori; Kuroda, K.; Miyamoto, Atsushi; Miyamoto, Koji; Sasaki, Shigemi

doi:10.1038/s41598-017-06442-2

Cited by 80 publications

(90 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Let us consider separately the properties of the incoherent interference factor. As was discussed above, at large energies of detected photons, the main contribution to probability (7) comes from the first term depending on the incoherent interference factor,…”

Section: Sum Rulesmentioning

confidence: 91%

“…We shall show below that the incoherent interference factor (8) decreases as a power at large k 0 . Therefore, the incoherent contribution dominates in (7) for sufficiently large energies of detected photons.…”

Section: Particular Casesmentioning

confidence: 99%

“…Nowadays there are several experimental techniques to generate twisted photons by bunches of relativistic charged particles moving in undulators or striking metal foils [1][2][3][4][5][6][7][8]. Surprisingly, a rigorous quantum theory for the probability of radiation of twisted photons by bunches of particles has barely been developed (see, however, [9,10]).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Probability of radiation of twisted photons by cold relativistic particle bunches

2020

View full text Add to dashboard Cite

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. *

show abstract

Section: Sum Rulesmentioning

confidence: 91%

Section: Particular Casesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Probability of radiation of twisted photons by cold relativistic particle bunches

2020

View full text Add to dashboard Cite

show abstract

“…They are exponentially suppressed in the domain where the detector is positioned and give a negligible contribution to (42). Notice that the bound states (78) are the eigenfunctions of the operator of the total angular momentum. It is useful to numerate the mode functions of twisted photons recorded by the detector (k 3 > 0) by the quantum numbers α := (s, m, k 3 , k ⊥ ) and put Then…”

Section: Dielectric Platementioning

confidence: 99%

“…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

View full text Add to dashboard Cite

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. *

show abstract

Chirality in electromagnetic radiation from relativistic electrons

Katoh,

Fujimoto,

Salehi

et al. 2024

Chirality

View full text Add to dashboard Cite

Electrons in circular motion emit electromagnetic radiation and lose their energy and angular momentum, both of which are carried away by the radiation field. Electromagnetic radiation from such electrons is not only circularly polarized but also, in general, possessing helical phase structure, the former of which corresponds to spin angular momentum and the latter orbital angular momentum. Based on the classical electrodynamics, we show that the chiral topological property related to the orbital angular momentum arises from deformation of the electromagnetic field due to the relativistic effect.

show abstract

Helical Phase Structure of Radiation from an Electron in Circular Motion

Cited by 80 publications

References 35 publications

Probability of radiation of twisted photons by cold relativistic particle bunches

Probability of radiation of twisted photons by cold relativistic particle bunches

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

Chirality in electromagnetic radiation from relativistic electrons

Contact Info

Product

Resources

About