Modal approximation for plasmonic resonators in the time domain: the scalar case

Lorenzo Baldassari, Pierre Millien and Alice L. Vanel ()
Additional contact information
Lorenzo Baldassari: ETH Zürich
Pierre Millien: Institut Langevin, ESPCI Paris, PSL University, CNRS
Alice L. Vanel: ETH Zürich

Partial Differential Equations and Applications, 2021, vol. 2, issue 4, 1-40

Abstract: Abstract We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters in a resonant regime. We consider the particle placed in a homogeneous medium in a low-frequency regime. We define modes for the non-Hermitian problem as perturbations of electro-static modes, and obtain a modal approximation of the scattered field in the frequency domain. The poles of the expansion correspond to the eigenvalues of a singular boundary integral operator and are shown to lie in a bounded region near the origin of the lower-half complex plane. Finally, we show that this modal representation gives a very good approximation of the field in the time domain. We present numerical simulations in two dimensions to corroborate our results.

Keywords: Plasmonic resonance; Time-domain modal expansion; Subwavelength resonators; Quasi-normal modes; 35R30; 35C20 (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-021-00098-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:2:y:2021:i:4:d:10.1007_s42985-021-00098-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-021-00098-4

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().