Opening stop-gaps in plasmonic crystals by tuning the radiative coupling of surface plasmons to diffracted orders

By tuning the radiative coupling of localized surface plasmons to diffracted orders, we demonstrate how stop-gaps in plasmonic crystals of nanorods may be opened and tuned. The stop-gap arises from the mutual coupling of surface lattice resonances (SLRs), which are collective resonances associated with counter-propagating surface polaritons. We present experimental results for three different nanorod arrays, where we show how the dispersion of SLRs can be controlled by modifying the size of the rods. Combining experiments with numerical simulations, we show how the properties of the stop-gap can be tailored by tuning a single structural factor. We find that the central frequency of the stop-gap falls quadratically, the frequency width of the stop-gap rises linearly, and the in-plane momentum width of the standing waves rises quadratically, as the width of the nanorods increases. These relationships hold for a broad range of nanorod widths, including duty cycles of the array between 20% to 80%. We discuss the physics in terms of a coupled oscillator analog, which relates the tunability of the stop-gaps to the coupling strength of plasmonic modes.