### Abstract

The properties of radiation created by a classical ultrarelativistic scalar charged particle in a constant homogeneous crossed electromagnetic field are described both analytically and numerically with radiation reaction taken into account in the form of the Landau–Lifshitz equation. The total radiation naturally falls into two parts: the radiation formed at the entrance point of a particle into the crossed field (the synchrotron entrance radiation), and the radiation coming from the late-time asymptotics of a particle motion (the de-excited radiation). The synchrotron entrance radiation resembles, although does not coincide with, the ultrarelativistic limit of the synchrotron radiation: its distribution over energies and angles possesses almost the same properties. The de-excited radiation is soft, not concentrated in the plane of motion of a charged particle, and almost completely circularly polarized. The photon energy delivering the maximum to its spectral angular distribution decreases with increasing the initial energy of a charged particle, while the maximum value of this distribution remains the same at the fixed photon observation angle and entrance angle of a charged particle. The ultraviolet and infrared asymptotics of the total radiation are also described.

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

Pages (from-to) | 23-40 |

Number of pages | 18 |

Journal | Annals of Physics |

Volume | 380 |

DOIs | |

Publication status | Published - 1 May 2017 |

### Fingerprint

### Keywords

- Crossed electromagnetic field
- Landau–Lifshitz equation
- Polarization
- Spectral angular radiation distribution

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Annals of Physics*,

*380*, 23-40. https://doi.org/10.1016/j.aop.2017.03.010

**Properties of an ultrarelativistic charged particle radiation in a constant homogeneous crossed electromagnetic field.** / Bogdanov, O. V.; Kazinski, P. O.; Lazarenko, G. Yu.

Research output: Contribution to journal › Article

*Annals of Physics*, vol. 380, pp. 23-40. https://doi.org/10.1016/j.aop.2017.03.010

}

TY - JOUR

T1 - Properties of an ultrarelativistic charged particle radiation in a constant homogeneous crossed electromagnetic field

AU - Bogdanov, O. V.

AU - Kazinski, P. O.

AU - Lazarenko, G. Yu

PY - 2017/5/1

Y1 - 2017/5/1

N2 - The properties of radiation created by a classical ultrarelativistic scalar charged particle in a constant homogeneous crossed electromagnetic field are described both analytically and numerically with radiation reaction taken into account in the form of the Landau–Lifshitz equation. The total radiation naturally falls into two parts: the radiation formed at the entrance point of a particle into the crossed field (the synchrotron entrance radiation), and the radiation coming from the late-time asymptotics of a particle motion (the de-excited radiation). The synchrotron entrance radiation resembles, although does not coincide with, the ultrarelativistic limit of the synchrotron radiation: its distribution over energies and angles possesses almost the same properties. The de-excited radiation is soft, not concentrated in the plane of motion of a charged particle, and almost completely circularly polarized. The photon energy delivering the maximum to its spectral angular distribution decreases with increasing the initial energy of a charged particle, while the maximum value of this distribution remains the same at the fixed photon observation angle and entrance angle of a charged particle. The ultraviolet and infrared asymptotics of the total radiation are also described.

AB - The properties of radiation created by a classical ultrarelativistic scalar charged particle in a constant homogeneous crossed electromagnetic field are described both analytically and numerically with radiation reaction taken into account in the form of the Landau–Lifshitz equation. The total radiation naturally falls into two parts: the radiation formed at the entrance point of a particle into the crossed field (the synchrotron entrance radiation), and the radiation coming from the late-time asymptotics of a particle motion (the de-excited radiation). The synchrotron entrance radiation resembles, although does not coincide with, the ultrarelativistic limit of the synchrotron radiation: its distribution over energies and angles possesses almost the same properties. The de-excited radiation is soft, not concentrated in the plane of motion of a charged particle, and almost completely circularly polarized. The photon energy delivering the maximum to its spectral angular distribution decreases with increasing the initial energy of a charged particle, while the maximum value of this distribution remains the same at the fixed photon observation angle and entrance angle of a charged particle. The ultraviolet and infrared asymptotics of the total radiation are also described.

KW - Crossed electromagnetic field

KW - Landau–Lifshitz equation

KW - Polarization

KW - Spectral angular radiation distribution

UR - http://www.scopus.com/inward/record.url?scp=85016325086&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85016325086&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2017.03.010

DO - 10.1016/j.aop.2017.03.010

M3 - Article

AN - SCOPUS:85016325086

VL - 380

SP - 23

EP - 40

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -