Figure 2.

Numerical calculation (blue solid line) of $J_{\overline{\mathrm{\Omega }},\overline{\mathrm{\Omega }}}$ 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 ${\gamma }_{\mathrm{disp}}=8.4$ μm and the relay lens assumed to have a numerical aperture of $\mathrm{NA}=0.2$ such that the spectrometer is dispersion limited. See Table 1 for other simulation parameters.