### Abstract

The infrared asymptotics of the probability of radiation of twisted photons in an arbitrary scattering process of quantum electrodynamics in vacuum is investigated. This asymptotics is universal and corresponds to the radiation produced by a classical current. Such radiation is known as edge radiation. We represent it in terms of twisted photons, and exact analytical formulas for the average number of radiated twisted photons are derived. We find the average projection of the total angular momentum of the edge radiation and the angular momentum per photon. It is shown that edge radiation can be used as a source of twisted photons with a large angular momentum. Moreover, this radiation can be employed as a superradiant coherent source of twisted photons in the infrared domain, in particular, the THz part of the electromagnetic spectrum. Several general selection rules for the radiation and absorption of twisted photons are proved. In particular, these selection rules allow one to modulate the one-particle radiation probability by means of scattering of charged particles on symmetrically arranged crystals.

Original language | English |
---|---|

Pages (from-to) | 114-141 |

Number of pages | 28 |

Journal | Annals of Physics |

Volume | 406 |

DOIs | |

Publication status | Published - 1 Jul 2019 |

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### Keywords

- Angular momentum
- Edge radiation
- Infrared asymptotics
- Quantum electrodynamics
- Selection rule
- Twisted photon

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Annals of Physics*,

*406*, 114-141. https://doi.org/10.1016/j.aop.2019.03.028

**Probability of radiation of twisted photons in the infrared domain.** / Bogdanov, O. V.; Kazinski, P. O.; Lazarenko, G. Yu.

Research output: Contribution to journal › Article

*Annals of Physics*, vol. 406, pp. 114-141. https://doi.org/10.1016/j.aop.2019.03.028

}

TY - JOUR

T1 - Probability of radiation of twisted photons in the infrared domain

AU - Bogdanov, O. V.

AU - Kazinski, P. O.

AU - Lazarenko, G. Yu

PY - 2019/7/1

Y1 - 2019/7/1

N2 - The infrared asymptotics of the probability of radiation of twisted photons in an arbitrary scattering process of quantum electrodynamics in vacuum is investigated. This asymptotics is universal and corresponds to the radiation produced by a classical current. Such radiation is known as edge radiation. We represent it in terms of twisted photons, and exact analytical formulas for the average number of radiated twisted photons are derived. We find the average projection of the total angular momentum of the edge radiation and the angular momentum per photon. It is shown that edge radiation can be used as a source of twisted photons with a large angular momentum. Moreover, this radiation can be employed as a superradiant coherent source of twisted photons in the infrared domain, in particular, the THz part of the electromagnetic spectrum. Several general selection rules for the radiation and absorption of twisted photons are proved. In particular, these selection rules allow one to modulate the one-particle radiation probability by means of scattering of charged particles on symmetrically arranged crystals.

AB - The infrared asymptotics of the probability of radiation of twisted photons in an arbitrary scattering process of quantum electrodynamics in vacuum is investigated. This asymptotics is universal and corresponds to the radiation produced by a classical current. Such radiation is known as edge radiation. We represent it in terms of twisted photons, and exact analytical formulas for the average number of radiated twisted photons are derived. We find the average projection of the total angular momentum of the edge radiation and the angular momentum per photon. It is shown that edge radiation can be used as a source of twisted photons with a large angular momentum. Moreover, this radiation can be employed as a superradiant coherent source of twisted photons in the infrared domain, in particular, the THz part of the electromagnetic spectrum. Several general selection rules for the radiation and absorption of twisted photons are proved. In particular, these selection rules allow one to modulate the one-particle radiation probability by means of scattering of charged particles on symmetrically arranged crystals.

KW - Angular momentum

KW - Edge radiation

KW - Infrared asymptotics

KW - Quantum electrodynamics

KW - Selection rule

KW - Twisted photon

UR - http://www.scopus.com/inward/record.url?scp=85064518831&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85064518831&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2019.03.028

DO - 10.1016/j.aop.2019.03.028

M3 - Article

AN - SCOPUS:85064518831

VL - 406

SP - 114

EP - 141

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -