title: On the reducing the number of equations in the problem of radiation of a cluster of interacting particles
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.contributor.author
metadata.value: Garaev, Damir I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-08-24T20:32:36Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-08-24T20:32:36Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Tishchenko A. A., Sergeeva D. Yu., Garaev D. I. On the reducing the number of equations in the problem of radiation of a cluster of interacting particles. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 2, pp. 144–149.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.206
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19016
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper we investigate analytically polarization radiation excited due to interaction of
  an electron with a cluster of coupled subwavelength particles. The results are valid both for
  nonrelativistic and for relativistic charged particles. The expression for the Fourier image of
  radiation field has been obtained, which allows direct calculating spectral and angular density
  of the radiated energy. In general case, to find the radiation field with taking into account the
  interaction between particles, it is necessary to solve a system of N! self-consistent tensor
  equations, where N is the number of particles in the cluster. We suggest the algorithm
  for reducing the system of N! equations to N equations. The reduction in the number of
  equations is achieved through the calculation of the fields at the each point in which the
  dipole moment is, rather than through calculation of the fields from the every source. This
  facilitates considerably the finding solutions in problems of radiation for the clusters of
  particles.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Science Foundation (project 19-72-00178).
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 16; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: radiation from charged particles
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: interaction
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: subwavelength particles
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the reducing the number of equations in the problem of radiation of a cluster of interacting particles
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 144-149.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19016/1/144-149.pdf
resources.format: Adobe PDF
resources.size: 241,82 kB