To perform a null test of aspherical surfaces we used a computer-gener
ated hologram or a lens or a mirror compensator to compensate the asph
erical aberration. When compensating in a convergent light beam the ax
ial position of this hologram or compensator is critical. A holographi
c compensator to be used in the convergent beam of light was designed
and constructed. We have established some relations to determine the t
olerance in the axial positioning of these compensators. (C) 1996 Opti
cal Society of America.