## 1 Introduction  
Nanohole arrays (NHAs) are a class of nanostructured surfaces consisting of nanoscale voids fabricated in the surface of a material. Plasmonic NHAs can couple the incoming photons to plasma oscillations, which then result in surface plasmon polaritons (SPPs) [1, 2, 3]. These specific resonant electromagnetic excitations are strongly confined around the plasmonic NHA, and lead to electromagnetic field enhancement at the interface. SPPs can offering interesting phenomena such as sharp resonances, extraordinary optical transmission and extreme field enhancements. As such, they have been long investigated for applications including sensing, optical spectroscopy, surfaced enhanced Raman scattering etc. [4, 5, 6, 7, 8, 9]. With the further development of nanotechnology, the introduction of symmetry breaking in plasmonic geometry offered additional, intriguing chiral effects at the nanoscale [10, 11, 12]. Namely, chiral nanostructures differently absorb circular polarization of the opposite handedness, leading to different optical response when excited by left and right circular polarization (LCP and RCP, respectively). This effect is known as circular dichroism (CD), and it has been long studied in the 3D nanostructures which mimic chiral shapes such as nanonhelices [13, 14, 15], twisted bilayered metamaterials [16], folded eta-shaped metamaterials [17], and vertical nanowires asymmetrically covered by metal and excited at oblique incidence [18; 19; 20]. Moreover, chiral effects and CD can be obtained by the planarization of chiral nanostructures, which often simplifies the nanofabrication and the coupling with additional sensing or emitting material. Specifically, nanoholes with gammad- or helix-like chiral shapes provided chiral control in terms of transmission [21; 22; 23], or diffraction [24]. Moreover, the influence of the lattice asymmetry allows for the asymmetric, non-reciprocal transmission of circularly polarized light through misaligned SPPs in the plasmonic NHA [25]. More recently, we showed that the combination of lattice asymmetry and a simple elliptical nanohole shape can provide a chiral response in the near-infrared range. Namely, elliptical nanohole arrays (ENHA) with in-plane symmetry breaking can provide extremely high circular dichroism in the near-infrared range [26]. Furthermore, similar simple chiral geometries can be fabricated by cost- and time-efficient techniques such as nanosphere lithography (NSL) [27; 28], and shadow sphere lithography [29]. Such passive nanostructures provide chiro-optical responses in transmission, reflection and absorption, thus showing the great potential for chiral sensing. On the other hand, similarly to the achiral NHA investigated in [30; 31; 32], ENHAs can be coupled with an emitting layer. Therefore, they can be of interest for both chiral sensing and chiral light sources. In this work, we propose ENHAs for chiral emission in the near-infrared and visible ranges. Our numerical set-up combines two types of simulations: with plane-wave excitation, and with dipole excitation of the ENHA. Firstly, we report on the broadband chiral behavior of ENHAs for two plasmonic materials: gold (Au-ENHA) and silver (Ag-ENHA); we embedded the 2D periodic ENHA in glass, and we excited them with LCP and RCP plane waves. Circular dichroism in absorption is mainly governed by the ENHA 2D periodicity, and it can be optimized in the near-infrared and visible domains. We then studied the coupling of the ENHA with a thin emitting layer embedded in glass above the plasmonic layer by exciting the ENHA with numerous electric dipole sources. Specifically, we investigated the chirality of far-field emission at wavelengths which provided high chirality in plane-wave simulations. For the Au-ENHA, we focused on the emission wavelengths of 740 nm and 940 nm, which showed opposite chirality in the absorption; we show that the chirality also exhibits inversion in the emitted far-field.