This paper is concerned with the inverse problem of reconstructing small and local perturbations of a planar surface using the field interaction between a known plasmonic particle and the planar surface. The aim is to perform a super-resolved reconstruction of these perturbations from shifts in the plasmonic frequencies of the particle-surface system. In order to analyse the interaction between the plasmonic particle and the planar surface, a well-chosen conformal mapping, which transforms the particle-surface system into a coated structure, is used. Then the even Fourier coefficients of the transformed domain are related to the shifts in the plasmonic resonances of the particle-surface system. A direct reconstruction of the perturbations of the planar surface is proposed. Its viability and limitations are documented by numerical examples.
|Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
|Published - 2018 Sept 1
Bibliographical noteFunding Information:
Data accessibility. Supporting data are available on the electronic supplementary material. Authors’ contributions. All authors developed the theory and performed numerical computation. All authors wrote the manuscript. Competing interests. We have no competing interests. Funding. The work of D.S.C. is supported by the Korean Ministry of Science, ICT and Future Planning through NRF grant No. 2016R1A2B4014530.
© 2018 The Author(s) Published by the Royal Society. All rights reserved.
- Generalized polarization tensors
- Möbius transformation
- Near-field optics
- Plasmonic resonances
- Plasmonic sensing
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy