Vv. Reznichenko et al., DEFORMATION OF A MIRROR UNDER THE INFLUENCE OF ITS OWN WEIGHT WHEN ITS AXIS IS HORIZONTAL, Soviet journal of optical technology, 60(6), 1993, pp. 393-395
An axially symmetric mirror and a mirror with a central aperture, each
with its optical axis horizontal, are considered. Analytical solution
s are obtained for estimating the surface deformation of the mirrors u
nder the action of gravity. Graphs showing the rms deviation of the su
rfaces from their nominal shape as a function of the diameter are pres
ented. They can be used for monitoring the surfaces for the given posi
tion of the axis.