The average plasmonic enhancement of Au nanoshell (Au-NS) coated by a molecules-doped silica layer ([email protected]2) on molecular fluorescence is studied theoretically to estimate the overall performance of a large number of [email protected]2. Using Mie theory and dyadic Green's functions, analytical solutions of the excitation rate and the apparent quantum yield are obtained to calculate the enhancement factor of [email protected]2 on the fluorescence of a molecule with a specific orientation and location at a specific excitation wavelength λex and an emission wavelength λem. Subsequently, the average enhancement factor (AEF) is calculated by averaging all possible orientations and locations of the molecule. For example, AEF of [email protected]2 (a 3 = 50 nm t 2 = 15 nm, t 1 = 25 nm) is 4.544 for a NIR fluorescence at λex = 780 nm and λem = 820 nm. Our results show that Au-NS is a broadband enhancer for NIR fluorescence; the bandwidth and the peak depend on the core size and the thickness of Au shell.
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Document Type: Research Article
Publication date: 01 September 2011
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