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Both spontaneous emission and resonant energy transfer can be enhancedsignificantly when the emitter is placed in the vicinity of metallic or crystalstructures. This enhancement can be described using the electromagnetic Greentensor and is determined by the dominant surface modes of the structure. Herewe use the eigenpermittivity formalism to derive the spontaneous emission andFRET rates in the quasistatic regime in a two-constituent medium with ananisotropic inclusion. We then apply our results to a helical structuresupporting synchronous vibrations and evaluate the contribution of these modes,which are associated with a strong and delocalized response. We show that thiscontribution can result in large Purcell factors and long-range FRET, whichoscillates with the helix pitch. These findings may have implications inunderstanding and controlling the interactions of molecules close to helicalstructures such as the microtubules.

Purcell factors and Forster resonance energy transfer in proximity to helical structures