The analytic solution of nanoparticle under electromagnetic fields
Date Issued
2008
Date
2008
Author(s)
Sun, Chieh-Sheng
Abstract
Analytic solution of three-dimensional nanoparticle under electric dipole source and plane wave is investigated. Quantum yield, excitation rate, and fluorescence enhancement can be calculated via Mie theory and dyadic Green’s function. The analytic series expansion solution of the scattering between plane wave and a solid sphere is presented. Additionally, the core-shell sphere will be presented at the same time. The analytic series expansion solution of the solid/core-shell scattering between an electric dipole is presented besides plane wave. Experimentally, these analytic solutions of electromagnetic fields can simulate two step processes. According to the numerical results, the far and near distance between electric dipole and sphere only change the value of quantum yield, excitation rate, and fluorescence enhancement. The corresponding wavelength of these maximum quantities will not be red-shift. The red-shift of the corresponding wavelength arises from the increase of solid sphere, the decrease of shell thickness, and the increase of core radius. Compared with solid sphere, core-shell sphere always has better enhancement at the region of long wavelength provided the shell is thin enough.
Subjects
Mie theory
dyadic Green’s function
quantum yield
excitation rate
fluorescence enhancement
Type
thesis
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