Go to content

Go to content | Navigation | Direct access | Connection

You are here : GEMACENResearch teamsAxis 3 – Quantum nanophotonicsNumerical study of plasmonic nanostructures

Numerical study of plasmonic nanostructures

In our studies of the interaction between nano-emitters and plasmonic structures, knowledge of the electromagnetic fields in the near field of the metallic structured layer under study is a determining element. To calculate and characterize this field distribution, we use a 3D finite element, spatial and temporal calculation method, the FDTD (Finite Difference Time-Domain) developed by K. S. Yee [1].

Using Lumerical's FDTD Solutions© software, we first applied the FDTD method to fractal plasmonic structures to highlight the presence of exalted fields between metallic grains [2;3], based on gold surfaces measured by AFM.

Distribution of the field enhancement (b,c) at two wavelengths and histograms (d,e) on a fractal gold structure (a)

More obviously, we have also applied this numerical method to ordered plasmonic structures: to study the spatial distribution of plasmons in an array of nanometric gold dots, electrically excited under an STM tip [4]; to highlight the preferential orientation of fields in the vicinity of an array of holes in a gold film [5].


Electromagnetic field intensity above a gold patch grating.

Electromagnetic field intensities above a grating of holes in a gold layers, and fluorescence decays on various structures.

This method has also been widely used in the collaborative work with our colleagues at the LPQM on the coupling of an individual NC with a 3D photonic polymer structure [6].


[1] K. S. Yee,
“Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,”
IEEE Trans. Antenn. Propag. 14(3), 302–307 (1966).

[2] S. Buil, J. Laverdant, B. Berini, P. Maso, J-P. Hermier, X. Quélin,
"FDTD simulations of localization and enhancements on fractal plasmonics nanostructures",
Opt. Express 20, 11968 (2012).

[3] D. Canneson, B. Berini, S. Buil, J-P. Hermier, X. Quélin,
"3D vector distribution of the electro-magnetic fields on a random gold film",
Optics Comm. 414, 113 (2018).

[4] D. Canneson, E. Le Moal, S. Cao, X. Quélin, H. Dallaporta, G. Dujardin, E. Boer-Duchemin,
"Surface plasmon polariton beams from an electrically excited plasmonic crystal",
Opt. Express 24, 26186 (2016).

[5] T. P. L. Ung, R. Jazi, J. Laverdant, R. Fulcrand, G. Colas des Francs, J-P. Hermier, X. Quélin, S. Buil,
"Scanning the plasmonic properties of a nanohole array with a single nanocrystal near-field probe",
to be published in Nanophotonics (2020).

[6] T.H. Au, S. Buil, X. Quélin, J-P. Hermier, N.D. Lai,
"High directional radiation of single photon emission in dielectric antenna",
ACS Photonics 6, 11 (2019).