title: On the dispersion relation of radiation from charged particles in periodic structures
metadata.name: dc.contributor.author
metadata.value: Tishchenko, Alexey A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sergeeva, Daria Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-06-05T10:38:42Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-06-05T10:38:42Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Tishchenko A. A., Sergeeva D. Yu. On the dispersion relation of radiation from charged particles in periodic structures. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 1, pp. 140–146.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https:// doi.org/10.21638/11702/spbu10.2019.111
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15657
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper we considered analytically one of the key features describing the radiation from charged particles in periodic structures. It is shown that the dispersion relation in the radiation from periodic structures with a ﬁnite number of elements, both for polarization radiation mechanism and forbremsstrahlung-type mechanism, including those in undulators and wigglers, does not take into account all the details of the spectral-angular distribution. Based on the analysis of the asymptotic expression which allows one to represent the ratio of squares of sines as the sum of delta functions, the factor has been obtained that takes into account the contribution of additional peaks. The expression depends on the number of elements of the periodic structure, and in the limiting case of very large number of elements turns into well-known asymptotic expression. The resulting expression has been obtained in the form helpful for further mathematical analysis, including the use of saddle point technique.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Ministry of Science and Higher Education of the Russian Federation in the framework of Federal Targeted Program “Research and Development in the Priority Directions of Development of the Scientific and Technological Complex of Russia for 2014–2020” (agreement on November 24, 2017, N 14.616.21.0088, ID RFMEFI61617X0088).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 15; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: radiation from charged particles
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: dispersion relation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: periodic structures
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the dispersion relation of radiation from charged particles in periodic structures
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 11.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15657/1/11.pdf
resources.format: Adobe PDF
resources.size: 353,5 kB