Recent results have shown unprecedented control over separation distances between two metallic elements hundreds of nanometers in size, underlying the effects of freeelectron nonlocal response also at mid-infrared wavelengths. Most of metallic systems however, still suffer from some degree of inhomogeneity due to fabrication-induced surface roughness. Nanoscale roughness in such systems might hinder the understanding of the role of microscopic interactions. Here we investigate the effect of surface roughness in coaxial nanoapertures resonating at mid-infrared frequencies. We show that 1 arXiv:2001.08953v1 [physics.optics] 24 Jan 2020 although random roughness shifts the resonances in an unpredictable way, the impact of nonlocal effects can still be clearly observed. Roughness-induced perturbation on the peak resonance of the system shows a strong correlation with the effective gap size of the individual samples. Fluctuations due to fabrication imperfections then can be suppressed by performing measurements on structure ensembles in which averaging over a large number of samples provides a precise measure of the ideal systems optical properties.Keywords plasmonics, surface roughness, nonlocal response, coaxial aperture, hydrodynamic model,
epsilon-near-zero modePlasmonics allows the confinement of light well below the diffraction limit by greatly enhancing the electric field in the vicinity of metal surfaces. In the last decade, continuous developments in nanofabrication techniques have made it possible to control the separation distance between two metallic elements to a precision of a fraction of a nanometer. 1-7 Such systems, generally referred to as nanogap plasmonic structures, can squeeze light down to deep sub-wavelength volumes, allowing for the optical radiation to probe sub-atomic interactions. [8][9][10][11][12][13][14][15][16] Most of metallic systems however, still suffer from some degree of inhomogeneity due to nanoscale surface roughness, [17][18][19] which results in deviations of the optical properties with respect to ideally smooth systems. 20,21 Recent publications have reported on the important role of surface roughness on the far-and near-field as well as nonlinear optical properties of nanoparticles. [22][23][24][25] In an experiment published in 2012, 26 it was shown that the resonance of a film-coupled nanoparticle system undergoes a shift that cannot be explained by a simple local constitutive relation between the electric field E and the polarization P of a metal: a more complex, nonlocal , 27 relation accounting for electron-electron interactions had to be considered in order to