A spectroscopic instrument (38) includes a first optical component (48) for spatial spectral splitting of a polychromatic beam of light (46) impinging onto the first optical component (48), an objective (50), which routes various spectral regions (B1, B2, B3) of the split beam of light (46a, 46b, 46c) onto differing spatial regions (52a, 52b, 52c), and a sensor (54), situated downstream of the objective (50) in the beam path of the beam of light (46a, 46b, 46c), with a plurality of light-sensitive sensor elements (54a, 54b, 54c). The sensor elements (54a, 54b, 54c) are arranged in the beam path of the split beam of light 46a, 46b, 46c in such a manner that each sensor element (54a, 54b, 54c) registers the intensity of a spectral sector (A1, A2, A3) of the beam of light (46) and the medians (Mk1, Mk2, Mk3) of the spectral sectors (A1, A2, A3) are situated equidistant from one another in the k-space, where (k) denotes the wavenumber.