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Mathematical analysis of plasmonic nanoparticles: the scalar case

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Light propagation and scattering in stratified media: a Green's tensor approach

Olivier Martin

We present a new technique for computing the electromagnetic field that propagates and is scattered in three-dimensional structures formed by bodies embedded in a stratified background. This fully vectorial technique is based on the Green's tensor associat ...

2001

Non-regularly shaped plasmon resonant nanoparticle as localized light source for near-field microscopy

Olivier Martin

We study numerically two-dimensional nanoparticles with a non-regular shape and demonstrate that these particles can support many more plasmon resonances than a particle with a regular shape (e.g. an ellipse). The electric field distributions associated wi ...

2001

Plasmon resonances of silver nanowires with a nonregular cross section

Olivier Martin

We investigate numerically the spectrum of plasmon resonances for metallic nanowires with a nonregular cross section, in the 20-50 nm range. We first consider the resonance spectra corresponding to nanowires whose cross sections form different simplexes. T ...

2001

Retardation-induced plasmon resonances in coupled nanoparticles

Olivier Martin

We study the coupling induced by retardation effects when two plasmon-resonant nanoparticles are interacting. This coupling leads to an additional resonance, the strength of which depends on a subtle balance between particle separation and size. The scatte ...

Optical Society of America2001

Dramatic localized electromagnetic enhancement in plasmon resonant nanowires

Olivier Martin

We investigate numerically the plasmon resonances of 10-50 nm nanowires with a non-elliptical section. Such wires have a much more complex behavior than elliptical wires and their resonances span a larger frequency range. The field distribution at the surf ...

2001

Influence of the cross section and the permittivity on the plasmon-resonance spectrum of silver nanowires

Olivier Martin

We investigate the plasmon resonances for silver nanowires with a non-regular cross section. To study the relationship between the cross section and the spectrum of the plasmon resonances, we consider cross sections evolving from a rectangular shape to a t ...

2001

Plasmon resonant coupling in metallic nanowires

Olivier Martin

We investigate the plasmon resonances of interacting silver nanowires with a 50 nm diameter. Both non-touching and intersecting configurations are investigated. While individual cylinders exhibit a single plasmon resonance, we observe uch ore complex spect ...

Optical Society of America2001

Spectral response of plasmon resonant nanoparticles with a non-regular shape

Olivier Martin

We study the plasmon resonances of 10 - 100 (nm) two-dimensional metal particles with a non-regular shape. Movies illustrate the spectral response of such particles in the optical range. Contrary to particles with a simple shape (cylinder, ellipse) non-reg ...

Optical Society of America2000

Field polarization and polarization charge distributions in plasmon resonant nanoparticles

Olivier Martin

We study the plasmon resonances for small two-dimensional silver particles (nanowires) with elliptical or triangular shapes in the 20 nm size range. While the elliptical particle has only two resonances, a well known fact, we demonstrate that the triangula ...

Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft2000

Accurate solution of the volume integral equation for high-permittivity scatterers

Olivier Martin

We present a formalism based on the method of moment to solve the volume integral equation using tetrahedral (3-D) and triangular (2-D) elements. We introduce a regularization scheme to handle the strong singularity of the Green's tensor. This regularizati ...

Institute of Electrical and Electronics Engineers2000