Effective Angle of Synchrotron Radiation

An exact analytical expression for the effective angle is determined for an arbitrary energy value of a radiating particle. An effective angle of instantaneous power is defined for synchrotron radiation in the framework of classical electrodynamics. This definition explicitly contains the most symme...

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Main Authors: Vladislav Bagrov, Anna Kasatkina, Alexey Pecheritsyn
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/7/1095
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author Vladislav Bagrov
Anna Kasatkina
Alexey Pecheritsyn
author_facet Vladislav Bagrov
Anna Kasatkina
Alexey Pecheritsyn
author_sort Vladislav Bagrov
collection DOAJ
description An exact analytical expression for the effective angle is determined for an arbitrary energy value of a radiating particle. An effective angle of instantaneous power is defined for synchrotron radiation in the framework of classical electrodynamics. This definition explicitly contains the most symmetric distribution of half the total of the instantaneous power of synchrotron radiation. Two exact analytical expressions for the effective angle are considered for the arbitrary energy values of a radiating particle, and the second expression brings to light the exact asymptotics of the effective angle in the ultrarelativistic limit.
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spelling doaj.art-66c09f8efcb84584bf807b1b3db1044c2023-11-20T05:37:09ZengMDPI AGSymmetry2073-89942020-07-01127109510.3390/sym12071095Effective Angle of Synchrotron RadiationVladislav Bagrov0Anna Kasatkina1Alexey Pecheritsyn2Faculty of Physics, Tomsk State University, Lenin Ave, 36, 634050 Tomsk, RussiaFaculty of Physics, Tomsk State University, Lenin Ave, 36, 634050 Tomsk, RussiaFaculty of Physics, Tomsk State University, Lenin Ave, 36, 634050 Tomsk, RussiaAn exact analytical expression for the effective angle is determined for an arbitrary energy value of a radiating particle. An effective angle of instantaneous power is defined for synchrotron radiation in the framework of classical electrodynamics. This definition explicitly contains the most symmetric distribution of half the total of the instantaneous power of synchrotron radiation. Two exact analytical expressions for the effective angle are considered for the arbitrary energy values of a radiating particle, and the second expression brings to light the exact asymptotics of the effective angle in the ultrarelativistic limit.https://www.mdpi.com/2073-8994/12/7/1095synchrotron radiationinstantaneous angular distribution of radiationdistribution of radiation in spatial domainsrelativistic radiation
spellingShingle Vladislav Bagrov
Anna Kasatkina
Alexey Pecheritsyn
Effective Angle of Synchrotron Radiation
Symmetry
synchrotron radiation
instantaneous angular distribution of radiation
distribution of radiation in spatial domains
relativistic radiation
title Effective Angle of Synchrotron Radiation
title_full Effective Angle of Synchrotron Radiation
title_fullStr Effective Angle of Synchrotron Radiation
title_full_unstemmed Effective Angle of Synchrotron Radiation
title_short Effective Angle of Synchrotron Radiation
title_sort effective angle of synchrotron radiation
topic synchrotron radiation
instantaneous angular distribution of radiation
distribution of radiation in spatial domains
relativistic radiation
url https://www.mdpi.com/2073-8994/12/7/1095
work_keys_str_mv AT vladislavbagrov effectiveangleofsynchrotronradiation
AT annakasatkina effectiveangleofsynchrotronradiation
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