Abstract
Regular arrays of rectangular gold nanoparticles placed on gold films are characterized by using linear reflection spectroscopy (in the wavelength range of $450--950\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$) and nonlinear scanning optical microscopy, in which two-photon photoluminescence (TPL) excited with a strongly focused laser beam (in the wavelength range of $730--820\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$) is detected. Experimental results are modeled using a finite-difference time-domain approach with the dielectric function of gold approximated by a Drude-Lorentz formula, showing a rather good agreement between the experimental and theoretical reflection and TPL enhancement spectra. The modeling is also used to optimize the array parameters for achieving strong and well-pronounced TPL enhancement maxima in the wavelength range accessible to the used experimental techniques, i.e., close to $800\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$. Accordingly designed samples are fabricated and characterized, corroborating the modeling predictions. We discuss the origin of TPL enhancement and its relation to local-field enhancements at the sample surface as well as its characterization with TPL microscopy. The implications of the obtained results are also discussed.
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