“…Since the observation of extraordinary optical transmission in arrays of holes in Ag films [1] and its further theoretical [2] and experimental [3] elaboration, regular plasmonic nanostructures exhibiting resonant optical properties have been at the forefront of modern photonics. Arrays of nanoholes (NHs) in metal films, easily manufactured via focused ion beam milling [4,5], soft interference lithography [6], ionbeam planarization [7] or direct laser writing [8], have been employed in sensing [9][10][11][12][13][14][15][16], upconversion luminescence [17], lasing [18][19][20], focusing [5], photocatalysis [21], thermoplasmonics [22,23], filtering [24,25], nonlinear optics [26], hybrid [27] and plasmon-exciton [28] coupling. One of the major drawback of NH arrays from the theoretical point of view is the lack of closed-form analytical solutions for electromagnetic properties of such nanostructures: straightforward treatment only exists for single NHs [29][30][31][32] or for NH arrays perforated in perfect electric conductor (PEC) thin films.…”