Extinction, scattering, and absorption by selected nanoparticle morphologies
  

We calculate cross sections using the analytical methods described in R. Yu, L. M. Liz-Marzán, and F. J. García de Abajo, Chem. Soc. Rev. (2017) for nanoparticles with the selected morphologies and user-specified size length L, aspect ratio R, and dielectric function ε(ω). These calculations are accurate within the ranges L<200 nm and 1<R<8 for noble-metal nanostructures. The size length and aspect ratio are defined for each type of particle in the schemes below. The incident light polarization is along the direction of the segment labeled L in the schemes of the particles. It is important to note that these calculations are only valid in spectral reanges for which the real part of the dielectric function takes negative values.
Note that, for some geometries, R must be above certain threshold values (e.g., >1 for rings and >2 for cages).

Particle dielectric function ε(ω)

For Lorentz-Drude:
ε(ω)=εbp2/[ωg2-ω(ω+iη)]
εb1 =
ωp1 (eV) =
ωg1 (eV) =
η1 (eV) =
Dielectric environment ε0 =
Particle size L (nm) =
Aspect ratio R =
Spectral range (select one)
Particle shape (select one)
rod
triangle
cage
ellipsoid
bicone
disk
ring
bipyramid
square rod
cylinder