Numerical and analytical evaluations of the sensing sensitivity of waveguide mode in one-dimensional metallic gratings.

We study numerically and analytically the refractive index sensing sensitivities of surface plasmon (S(SP)) and waveguide (S(WG)) modes arising from one-dimensional Au gratings. By using rigorous coupled wave analysis, we find that while S(SP) is mainly controlled by the periodicity of the grating, the shape of the groove governs S(WG). As a result, it is possible to increase S(WG) to 1000 nm/RIU and figure of merit to 24 by tailoring the height and width of the groove. Finally, a simple analytical expression is derived to describe S(WG) and it agrees well with the numerical data. This easy-to-use expression not only reveals the origin of waveguide mode sensitivity, but also provides useful guidance for the theoretical design and experimental realization of high-sensitivity metallic-gratings-based biosensors.