Choose photodetector along increasing main grating dispersion, and along increasing wavelength for the cross-disperser. The echellogram shows two order traces and their intersections with the axis, which passes through the optical camera optical axis.
Figure 1.
Two adjacent cross-dispersed echelle orders
. Details.
For fixed incidence, , so increasing wavelength goes to the right along each order. The cross-disperser also sends increasing wavelength upward in the chosen orientation; the traces therefore slope upward. At , , so the trace labeled lies above the trace labeled . Reflecting either plotting axis would reverse its arrow but leave the optical content unchanged. The cross-disperser separates orders that would overlap in the main dispersion direction.
The echellogram contains nearly parallel traces, one for each diffraction order. Choose the main echelle grating dispersion to increase wavelength toward the right and the cross-disperser to increase wavelength upward. At a fixed horizontal coordinate, order has a shorter wavelength than order , so it lies below order in this convention.
Figure 1.
Adjacent orders in a cross-dispersed echellogram
. Order m+1 is bluer than order m at the same main-dispersion coordinate. Within either order, wavelength increases along the trace to the right; the chosen cross-dispersion orientation puts longer wavelengths higher on the detector. Details.