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On the Reducing the Number of Equations in the Problem of Radiation of a Cluster of Interacting particles О понижении числа уравнении в задаче об излучении кластера взаимодеиствующих частиц

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dc.contributor.authorTishchenko, A. A.
dc.contributor.authorSergeeva, D. Yu.
dc.contributor.authorGaraev, D. I.
dc.contributor.authorТищенко, Алексей Александрович
dc.contributor.authorСергеева, Дарья Юрьевна
dc.contributor.authorГараев, Дамир Ильдарович
dc.date.accessioned2024-11-27T07:58:27Z
dc.date.available2024-11-27T07:58:27Z
dc.date.issued2020
dc.description.abstract© Санкт-Петербургский государственный университет, 2020In 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.
dc.format.extentС. 144-149
dc.identifier.citationTishchenko, A. A. On the Reducing the Number of Equations in the Problem of Radiation of a Cluster of Interacting particles О понижении числа уравнении в задаче об излучении кластера взаимодеиствующих частиц / Tishchenko, A.A., Yu., Sergeeva, D., Garaev, D.I. // Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. - 2020. - 16. - № 2. - P. 144-149. - 10.21638/11701/spbu10.2020.206
dc.identifier.doi10.21638/11701/spbu10.2020.206
dc.identifier.urihttps://www.doi.org/10.21638/11701/spbu10.2020.206
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85091237778&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000574554000006
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/22349
dc.relation.ispartofVestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya
dc.titleOn the Reducing the Number of Equations in the Problem of Radiation of a Cluster of Interacting particles О понижении числа уравнении в задаче об излучении кластера взаимодеиствующих частиц
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue2
oaire.citation.volume16
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