Resonance diffraction in the periodic array of graphene microribbons is theoretically studied following a recent experiment [L. Ju et al., Nature Nanotech. 6, 630 (2011)]. Systematic studies over a wide range of parameters are presented. It is shown that a much richer resonant picture would be observable for higher relaxation times of charge carriers: More resonances appear and transmission can be totally suppressed. The comparison with the absorption cross-section of a single ribbon shows that the resonant features of the periodic array are associated with leaky plasmonic modes. The longest-wavelength resonance provides the highest visibility of the transmission dip and has the strongest spectral shift and broadening with respect to the single-ribbon resonance, due to collective effects. The ability of graphene to support electromagnetic waves coupled to charge carriers [graphene surface plasmons (GSPs)] is very interesting from the point of view of many physical phenomena related to surface plasmons (SPs). 1,2 An additional interest is related to graphene's flexibility, sensitivity to external exposure, and two-dimensionality (2D) that have a variety of possible applications. 3,4 GSPs have been intensively studied theoretically, 5-11 in graphene sheets, and also in graphene ribbons, [12][13][14][15][16]18,19 p-n junctions, 20 and edges [15][16][17] and recently have been observed experimentally. 21,22 In metal films, the excitation of the SP modes had been experimentally and theoretically studied for periodic ultrathin structures ( 10 nm thick), both for arrays of slabs [23][24][25][26] and arrays of holes and disks. [27][28][29] It has been shown that these systems present transmission peaks with high visibility (including total suppression of reflection) and absorption resonances. The natural continuation of this research was to check whether this property could still hold for the 2D limit, i.e., for a layer of one-atom thickness. Recently, experiments have shown that GSP resonances in a periodic array of graphene ribbons (PAGR) have remarkably large oscillator strengths, resulting in prominent room-temperature optical absorption peaks. 21 In this Rapid Communication we present a theoretical study of the electromagnetic response of PAGRs, including absorption, transmission, and reflection coefficients. We consider both the parameters corresponding to the experiment and their variation over a wide range. Specifically, we focus on the dependencies upon the relaxation times of charge carriers τ and the width-to-period ratio (which in the experiment was fixed to be 1/2). We look for the configurations in which GSP-induced absorption is enhanced and where other GSP-assisted effects are much more pronounced. Our analysis can thus be used for further efficient observation of GSPs and their use for applications, e.g., ultrathin voltage-controllable THz absorbers. Figure 1 schematically represents the periodic array of graphene ribbons under study. The PAGR is located at z = 0 and is illuminated by a normal-incident ...