Results from the atmospheric forward model of CALSPEC star HD111980 with a Moffat PSF kernel (the shape parameters evolve as a fourth-order polynomial function), observed with an amplitude hologram with 350 lines mm⁻¹. Left: spectrogram data (top), best-fitting spectrogram model (middle), and residuals in units of σ (bottom) Middle: zoom around the dioxygen line at 762 nm and zoom on the H₂O absorption band around 950 nm. All colour maps are normalised by the maximum of the simulated spectrogram. Right: correlation matrix of the fitted parameters.