Time-Varying Plasmonic Particles

M. S. Mirmoosa, M. S.M. Mollaei, G. A. Ptitcyn, C. R. Simovski, S. A. Tretyakov

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

2 Citations (Scopus)
39 Downloads (Pure)


In this paper, we derive a third-order linear differential equation for describing polarization dynamics of a spherical plasmonic nanoparticle. We entitle such equation, being analogous to the Abraham-Lorentz equation, as the Rüdenberg equation that was initially written in 1907 for elucidating the Hertzian dipole antenna in the receiving regime. Based on this equation, we study the case when the plasma frequency of the nanoparticle material varies in time. Under some assumptions, we find analytical solutions which describe the radiative decay of such time-varying nanoparticle.

Original languageEnglish
Title of host publication2021 15th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2021
Number of pages3
ISBN (Electronic)9781728150185
Publication statusPublished - 20 Sept 2021
MoE publication typeA4 Article in a conference publication
EventInternational Congress on Artificial Materials for Novel Wave Phenomena - Virtual, Online, New York, United States
Duration: 20 Sept 202125 Sept 2021
Conference number: 15


ConferenceInternational Congress on Artificial Materials for Novel Wave Phenomena
Abbreviated titleMetamaterials
Country/TerritoryUnited States
CityNew York


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