## 3 Results and Discussion
### Active Simulations  
The purpose of this section is to investigate the influence of the CD\({}_{\rm A}\) on CD\({}_{\rm em}\). Therefore, we chose the Au-ENHA with \(a=500\) nm, and we applied active simulations for two typical wavelengths. Figure 3 plots the typical results of our numerical method for a randomly oriented dipole situated at \(\Delta\)x = 0, \(\Delta\)y = a/2, and \(\Delta\)z = 120 nm, emitting at 740 nm (top), and 940 nm (bottom). The simulation of one dipole position contained three simulation runs (for x-, y-, and z-orientation), where the far-field matrices of the total, LCP, and RCP far-field emission were saved, and eventually averaged. At both wavelengths, total intensity is highly irregular due to ENHA chirality and the offset of the dipole with respect to the unit cell center. At longer wavelengths, the overall total light emission is directed towards larger angles, and with less intensity, as is expected due to the coupling with the lattice [30; 31]. When the total field is decomposed into opposite circular polarizations, we notice strong chirality, especially at 940 nm: there is an absence of RCP compared to LCP in the central part of the far-field hemisphere. However, a single dipole position cannot account for the chiral properties of the emitting material, situated in a matrix material above the ENHA. We believe that there are two main reasons we need to simulate the emission of large number of dipoles, before taking their average intensities in Equation (2), and calculating the CD\({}_{\rm em}\). Firstly, total intensity differed strongly for the dipoles situated on the rims and in the nanohole center, as the local density of states in plasmonic nanostructures strongly depend on spatial confinement. Secondly, in achiral NHAs, two dipoles situated at opposite sides of the NHA give opposite CD\({}_{\rm em}\), according to extrinsic chirality, whereas their average gives zero CD\({}_{\rm em}\). ENHAs are intrinsically chiral, so we expect that the interplay of these two phenomena would give a non-zero chirality in the averaged emitted field. We investigate the previous point by calculating the CD\({}_{\rm em}\) from typical dipole positions in the unit cell (over the hexagon presented in the inset of Figure 1b). In Figure 4, it is evident that the dipoles situated between the nanoholes (corners of the figure), led to extremely high chirality close to the normal incidence. As the dipole position approaches the  
Figure 3: Simulation results for a randomly oriented dipole positioned at \(\Delta\)x = 0, \(\Delta\)y = a/2, and \(\Delta\)z = 120 nm, emitting at 740 nm (top), and 940 nm (bottom); we performed three simulation runs for each dipole orientation, extract LCP, RCP and total far-field intensity for each simulation, and then took the average. unit cell center, the circular dichroism drops. This can be of interest for light nanosources such as quantum dots, which can be precisely positioned at the points which exhibited high CD\({}_{\text{em}}\). On the other side, for emitting layers with fluorescent dopants, the single position-chiral behavior can give guidelines for the engineering of the excitation control, as will be shown later. In Figure 5, we show chirality of typical dipole positions for the emission at 940 nm. Even though emission intensity was lower (Figure 3), for most positions there was a strong positive chirality in the central part of the hemisphere, which is wider and more pronounced with respect to Figure 4. Again, CD\({}_{\text{em}}\) decreases towards the dipoles closer to the ENHA center. Finally, we apply Equation (3) to calculate the total, LCP, and RCP fields emitted by the ensemble of 85 dipoles, Figure 6. Here we consider the dipole weights with respect to the shared geometry between the neighboring cells, while we do not consider confinement  
Figure 4: CD\({}_{\text{em}}\) maps for different dipole positions on the Au-ENHA, at 740 nm. Figure 5: CD\({}_{\text{em}}\) maps for different dipole positions for the Au-ENHA, at 940 nm. at the excitation wavelength.