| Summary: | 碩士 === 國立臺灣大學 === 應用力學研究所 === 97 === In this paper, we study the three-dimensional gold and silver nanoparticles interacting with visible light by using Maxwell`s equations. The multiple-multipole (MMP) method is employed to construct a set of linear equations of expansion coefficients by satisfying boundary conditions at collocation points. Singular value decomposition is then used to solve the overdetermined linear equations.
The study includes the electric field in the vicinity of a metallic nanostructure which is dramatically intensified through surface plasmon resonances (SPR) effect by incident plane wave, and it is useful for exciting nearby fluorescent molecules. Once the molecule is excited, it behaves as an electric dipole to radiate the fluorescence and interacts with nanoparticles. The overall effect of nanoparticles on the fluorescence will be studied by evaluating the enhancement factor.
We study several metallic nanostructures for enhancing the fluorescence enhancement including nanospheroids, nanoshells, core-shell nanospheroids, nanorods, and nanodisks. And classify the benefit of each structure in the conclusion.
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