Reflection Phase and Amplitude Determination of Short-Range Ordered Plasmonic Nanohole Arrays

The reflection phase and amplitude of a short-range ordered gold plasmonic nanohole array are measured in the vis-NIR range using an interferometric substrate. The phase flip is observed around the minimum of the reflection amplitude, which is consistent with the resonance of a single oscillator. Above the resonance wavelength, the phase shift roughly follows that of a continuous metal film with the same thickness. Numerical simulation of the corresponding hexagonal long-range ordered nanohole array exhibits similar phase behavior with a sharper phase flip at the amplitude minimum, where the field enhancement is strongest. By changing the refractive index of the surrounding medium, larger phase shifts as well as positive and negative amplitude changes were observed around the resonance wavelength. This interferometric substrate method enables simultaneous broad-band phase and amplitude acquisition on the second time scale.