Polaritons in Two-Dimensional Parabolic Waveguides

The suite of highly confined polaritons supported by two-dimensional (2D) materials constitutes a versatile platform for nano-optics, offering the means to channel light on deep-subwavelength scales. Graphene, in particular, has attracted considerable interest due its ability support long-lived plasmons that can be actively tuned via electrical gating. While excellent optoelectronic properties graphene are widely exploited plasmonics, mechanical flexibility remains relatively underexplored same context. Here, we present semi-analytical formalism describe and other waveguides formed bending 2D material into parabolic shape. Specifically, parabolas, our theory reveals already large field confinement associated with substantially increased an otherwise flat sheet parabola shape, thereby forming plasmonic waveguide without introducing potentially lossy edge terminations patterning. Further, show high such enhance spontaneous emission rate quantum emitter near vertex. Our findings apply generally atomically thin deposited onto grooves or wedges prepared substrate freely suspended quasi-parabolic (catenary) We envision both harnessed tandem produce applied wide range nano-optics functionalities, including subwavelength polaritonic circuitry bright single-photon sources.