An ordinary passive primary must keep its optical figure while the direction of gravity relative to the mirror changes as the telescope tracks. A thin unsupported disk bends enough to introduce wavefront errors, degrading the point spread function. Increasing thickness strongly raises its resistance to bending.
For an isotropic elastic plate of thickness , Young's modulus and Poisson's ratio , the flexural rigidity is . Under its own weight the load per area scales as . With support spans of order the diameter , plate bending therefore gives
Numerical coefficients depend on the support and boundary conditions. A larger greatly reduces gravitational sag, even though it adds weight. Near normal incidence a mirror displacement changes optical path length by approximately , so surface errors must be much smaller than the observing wavelength. Thickness provides passive stiffness needed to preserve the mirror figure.