Combining graphene with plasmonics is expected to lead to new nanoscale applications such as sensors, photodetectors, and optical circuits, since graphene plasmons in the infrared have relatively low losses and are easily tunable. It was shown that the edges of a graphene sheet completely reflect these plasmons with negligible radiation losses. Here, however, we examine structured graphene edges, which provide the ability to tailor and even completely cancel the reflection. These properties depend on the suitable dimensions of the edge grating. We explain the reflection modulation via the appearance of longitudinal Fabry-Perot type modes. Interesting phase changes and resonances appear when the longitudinal modes interact with lateral modes mediated by edge plasmons.
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