Dispersion Map

In the case of soxs_disp_solution the output dispersion map hosts the coefficients (\(c_{ij}\)) to two polynomials that describe the global dispersion solution for the entire detector frame:

\[\begin{split} X = \sum\limits_{ij} c_{ij} \times n^i \times \lambda^j \\ \end{split}\]

\[\begin{split} Y = \sum\limits_{ij} c_{ij} \times n^i \times \lambda^j \\ \end{split}\]

soxs_spatial_solution, building from this dispersion solution, provides global dispersion and spatial solution. The dispersion map output by this recipe hosts the coefficients (\(c_{ijk}\)) to two polynomials (note now the inclusion of slit position):

\[\begin{split} X = \sum\limits_{ijk} c_{ijk} \times n^i \times \lambda^j \times s^k \\ \end{split}\]

\[\begin{split} Y = \sum\limits_{ijk} c_{ijk} \times n^i \times \lambda^j \times s^k \\ \end{split}\]