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Large optical chirality in the vicinity of achiral high index dielectricnanostructures has been recently demonstrated as useful means of enhancingmolecular circular dichroism. We theoretically study the spatial dependence ofoptical chirality enhancement in the vicinity of high index dielectricnanodisks and highlight its importance for the design of nanophotonic platformsfor circular dichroism enhancement. Using a T-matrix framework, we demonstratethat depending on disk aspect ratio chirality is enhanced preferentially alongdifferent directions. We employ various statistical procedures (includingsurface, volume and orientation averaging) that are necessary to predict theenhancement of chiroptical effects and show that optimal properties of ananostructure depend substantially on whether spatial maximum or averagechirality enhancement is sought after. Similarly, the optimal choice of thenanostructure is influenced by the presence of substrate, which limits thespace available to be occupied by analyte molecules and impacts the opticalchirality in the vicinity of the nanostructure.

Local versus bulk circular dichroism enhancement by achiral all-dielectric nanoresonators