OPTIMOS-EVE is a fiber-fed, high-multiplex, high-efficiency, large spectral coverage spectrograph for EELT covering
visible and near-infrared simultaneously. More than 200 seeing-limited objects will be observed at the same time over
the full 7 arcmin field of view of the telescope, feeding the spectrograph, asking for very large multiplexing at the
spectrograph side. The spectrograph consists of two identical units. Each unit will have two optimized channels to
observe both visible and near-infrared wavelengths at the same time, covering from 0.37 to 1.7 micron. To maximize the
scientific return, a large simultaneous spectral coverage per exposure was required, up to 1/3 of the central wavelength.
Moreover, different spectral resolution modes, spanning from 5'000 to 30'000, were defined to match very different sky
targets. Many different optical solutions were generated during the initial study phase in order to select that one that will
maximize performances within given constraints (mass, space, cost). Here we present the results of this study, with
special attention to the baseline design. Efforts were done to keep size of the optical components well within present
state-of-the-art technologies. For example, large glass blank sizes were limited to ~35 cm maximum diameter. VPH
gratings were selected as dispersers, to improve efficiency, following their superblaze curve. This led to scanning
gratings and cameras. Optical design will be described, together with expected performances.