Rigorous expansion of electromagnetic Green's tensor of lossy resonators in open systems

Parry Y. Chen, David J. Bergman, Yonatan Sivan

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

1 Scopus citations

Abstract

We obtain an eigenmode expansion of the electromagnetic Green's tensor G(r,r') for lossy resonators in open systems, which is simple yet complete. This enables rapid simulations by providing the spatial variation of G0(r,r') over both r and r' in one simulation. Few eigenmodes are often necessary for nanostructures, facilitating both analytic calculations and unified insight into computationally intensive phenomena such as Purcell enhancement, radiative heat transfer, van der Waals forces, and Förster resonance energy transfer. We bypass all implementation and completeness issues associated with the alternative quasinormal eigenmode methods, by defining modes with permittivity rather than frequency as the eigenvalue. Thus, modes decay rather than diverge at infinity, and are defined by a linear eigenvalue problem, readily implemented using any numerical method. We demonstrate its general implementation in COMSOL Multiphysics, using the default in-built tools.

Original languageEnglish
Title of host publicationPlasmonics
Subtitle of host publicationDesign, Materials, Fabrication, Characterization, and Applications XV
EditorsTakuo Tanaka, Din Ping Tsai
PublisherSPIE
ISBN (Electronic)9781510611498
DOIs
StatePublished - 1 Jan 2017
Event2017 SPIE Optics + Photonics conference on Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XV - San Diego, United States
Duration: 6 Aug 201710 Aug 2017

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume10346
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

Conference2017 SPIE Optics + Photonics conference on Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XV
Country/TerritoryUnited States
CitySan Diego
Period6/08/1710/08/17

Keywords

  • Green's tensor
  • modal expansion
  • open systems
  • quasinormal modes
  • spectral decomposition

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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