The effect of inducing a one-dimensional periodic modulation in the conductivity of both a single and double layer of graphene is investigated using analytical modeling. By employing a modal matching approach, we find deep transmission minimums associated with hybridized resonances of the modes supported by low- and high-conductivity regions. By carefully tuning the conductivity profile, we show that an increase, approaching 50%, can be achieved in the resonant absorption when both regions are made dipole resonant. Such plasmonic cavities may be a promising route to eliminating plasmonic losses typically introduced when etching graphene. Published by The Optical Society under the terms of the Creative Commons Attribution 4.0 License.
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