Shape reconstruction of nanoparticles from their associated plasmonic resonances

Habib Ammari, Mihai Putinar, Matias Ruiz, Sanghyeon Yu, Hai Zhang

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We prove by means of a couple of examples that plasmonic resonances can be used on one hand to classify shapes of nanoparticles with real algebraic boundaries and on the other hand to reconstruct the separation distance between two nanoparticles from measurements of their first collective plasmonic resonances. To this end, we explicitly compute the spectral decompositions of the Neumann–Poincaré operators associated with a class of quadrature domains and two nearly touching disks. Numerical results are included in support of our main findings.

Original languageEnglish
Pages (from-to)23-48
Number of pages26
JournalJournal des Mathematiques Pures et Appliquees
Publication statusPublished - 2019 Feb
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Masson SAS


  • Algebraic domain
  • Nearly touching particles
  • Neumann–Poincaré operator
  • Plasmonic resonance
  • Quadrature domain

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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