Theoretical and semiempirical studies of two-dimensional (2D) metal nanoparticle arrays under periodic boundary conditions yield quantitative estimates of their electromagnetic (EM) field factors, revealing a critical relationship between particle size and interparticle spacing. A new theory based on the RLC circuit analogy has been developed to produce analytical values for EM field enhancements within the arrays. Numerical and analytical calculations suggest that the average EM enhancements for Raman scattering (Gh) can approach 2 × 10 11 for Ag nanodisks (5 × 10 10 for Au) and 2 × 10 9 for Ag nanosphere arrays (5 × 10 8 for Au). Radiative losses related to retardation or damping effects are less critical to the EM field enhancements from periodic arrays compared to that from other nanostructured metal substrates. These findings suggest a straightforward approach for engineering nanostructured arrays with direct application toward surface-enhanced Raman scattering (SERS). Nanostructured metal-dielectric interfaces often exhibit enhanced optical phenomena at visible and near-infrared (NIR) frequencies via excitation of surface plasmon modes. 1,2 The enticing possibilities of engineering such properties for applications in photonics and chemical sensing have led to a resurgence of activity in the design of plasmonic material
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