Análise de sensores plasmônicos baseados em Nano estruturas estratificadas utilizando o Método das imagens complexas discretas

Abstract

In this thesis, the theoretical analysis of a surface plasmon resonance (SPR) sensor coupled to metallic nanoparticles is presented. The sensor is considered in the Surface Plasmon Coupled Emission (SPCE) configuration, where the metallic nanoparticles (or analytes) are modeled by equivalent dipoles located above the sensor. A complete set of Green’s dyadic functions for the electric field is estimated for planar, multilayer, and uniaxial media in a computationally efficient and convenient manner for applications using the Discrete Complex Imaging Method (DCIM) via the Generalized Pencil of Function Method (GPOF). The principle of complex path deformation in a two-level contour is employed to express an original integral as a sum of complex images. The results related to the surface plasmon resonance, reflection, near and far field of planar sensors are presented and it is described how these nanoparticles influence the ability to increase the near field strength and alter the sensitivity response of these optical sensors. In addition, for comparison purposes, some results are calculated by numerical and experimental methods. The results show suitable agreement, which proves that DCIM is an efficient and powerful theoretical method for analyzing SPR sensors in the SPCE configuration.