Mirror deflection on multiple axial supports.

A theoretical model based on thin plate theory is developed to calculate mirror deflection on multiple axial supports. Thickness variation due to mirror curvature, sandwich structure, and shear effects is included in this model. Comparison with the finite element analysis shows almost identical results for a three-point support. Surface deflections due to more complicated support patterns (forty-eight- and eighty-four-point support) are also included. A tolerancing model of support forces is developed and applied to the case of eight-four-point support.