SQUEEZING MAXWELL'S EQUATIONS INTO THE NANOSCALE (Invited Paper)

Abstract

Abstract-The plasmonic behavior of nanostructured materials has ignited intense research for the fundamental physics of plasmonic structures and their cutting-edge applications concerning the fields of nanoscience and biosensing. The optical response of plasmonic metals is generally well-described by classical Maxwell's Equations (ME). Thus, the understanding of plasmons and the design of plasmonic nanostructures can therefore directly benefit from lastest advances achieved in classic research areas such as computational electromagnetics. In this context, this paper is devoted to review the most recent advances in nanoplasmonic modeling, related with the latest breakthroughs in surface integral equation (SIE) formulations derived from ME. These works have extended the scope of application of Maxwell's Equations, from microwave/milimeter waves to infrared and optical frequency bands, in the emerging fields of nanoscience and medical biosensing.

Fast and accurate electromagnetic solutions of finite periodic optical structures

“…As second example, a plane-shaped array composed by gold nanospheres is analysed. In this example we study the surface-enhancement Raman spectroscopy (SERS) [21][22][23] to show the effects that appear in large SERS substrates. Some important effects in SERS may not be discovered with other widespread analysis techniques, e.g.…”

“…For the sake of simplicity, SERS intensity was calculated using no Raman shift. This approach is valid for small Raman shift and yields close-fitting results in a faster way through the following expression [23]:…”

Plasmonic properties and energy flow in rounded hexahedral and octahedral nanoparticles

“…This widely used method offers accurate and reliable solutions for many computational electromagnetics problems [22], and has been recently extended [23] for modeling plasmonic scatterers and nanoantennas [24][25][26][27].…”

Study of Plasmonic Resonances on Platonic Solids

“…This widely used method offers accurate and reliable solutions for many computational electromagnetics problems, a review of which is given by Ylä‐Oijala et al (). The SIE methods has been recently extended for the modeling of plasmonic scatterers and nanoantennas, by García de Abajo and Howie (), Hohenester and Krenn (), Kern and Martin (), Taboada et al (), Solis et al (), and others.…”

“…García de Abajo and Howie (2002),Hohenester and Krenn (2005),Kern and Martin (2009), Taboada et al (2011), Solis et al (2015, and others.The SIE method is based on Love's equivalence principle, allowing the reformulation of the original problem of solving Maxwell's equations in the entire The volume-normalized (V = 50 3 nm 3 ) scattering and absorption spectra for a sphere of diameter d = 62.035 nm extracted both analytically using the Lorenz-Mie theory(Bohren & Huffman, 2008) (dashed lines) and SIE method (solid lines). The inset figures depict the normalized surface charge distribution for (a) the imaginary part of charge distribution at = 372.7 nm (electric dipole) and (b) the real part of the charge distribution at = 347.1 nm (electric quadrupole).…”