In this paper we explored the scattering behavior of thin cylinders made ofLHM and coated by a monoatomic graphene layer. A spectral tunability of theresonance peaks is evidenced by altering the chemical potential of the graphenecoating, a fact that occurs at any state of polarization of the incident planewave in opposition to the case of scatterers of dielectric core. On thecontrary, no invisibility condition can be satisfied for dielectricenvironments. A singular performance is also found for cylinders withpermittivity and permeability near zero. Practical implementations of ourresults can be carried out in sensing and wave manipulation driven bymetamaterials.
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