The optical properties
of structured metal surfaces and nanoparticles
can be engineered to influence the fluorescence properties of nearby
quantum emitters through the manipulation of the local density of
optical states (LDOS). Applying these techniques to Förster
resonance energy transfer (FRET) is appealing but has proven to be
a complicated and debated issue. In this paper, surface plasmons modes
for a gold nanograting are found to enhance the FRET efficiency between
nearby donor and acceptor molecules. Nanogratings support traveling
surface plasmon waves with a broad range of wavelengths that follow
a dispersion relationship, allowing for increases in the LDOS at targeted
portions of the spectra of FRET paired molecules. Nearby excited fluorescent
molecules may decay by launching a surface plasmon wave that couples
into free-space light, which can be recovered. With this system, we
measured the FRET efficiency for different plasmon wavelengths spanning
both the donor and acceptor emission spectra. The increase in efficiency
was found to be greatest when the surface plasmon modes, and therefore
the increase in LDOS, overlapped the acceptor emission spectrum.