Coupling field maps of combined function bending magnets to linear optics for the SESAME storage ring

This note provides several analyses of the combined function bending magnets of the SESAME storage ring. The objective is to develop tools to couple the magnetic design to the linear optics specifications. Such tools can be used to carry out a 3D field optimization, at the design phase and following magnetic measurements, in particular in order to fine tune the end shims on the poles. The analyses take as input field maps on the midplane, which are then processed in different ways to obtain linear transfer matrices for the optics, in the horizontal and vertical planes. Some peculiarities of this kind of magnet are also highlighted, for example, the slight variation of gradient along the arc. For convenience, the relative codes and scripts are included in the appendix.