Figure 2

Numerical calculation (blue solid line) of \({J}_{\bar{{\rm{\Omega }}},\bar{{\rm{\Omega }}}}\) and the corresponding Lorentzian based approximation (dashed grey line). A finely pixelated detector with \({N}_{p}=5000\) pixels was assumed. The width of the response function of the dispersive element was taken as \({\gamma }_{{\rm{disp}}}=8.4\) μm and the relay lens assumed to have a numerical aperture of \({\rm{NA}}=0.2\) such that the spectrometer is dispersion limited. See Table 1 for other simulation parameters.