Ln. Hazra et al., EFFECTS OF THE THICKNESS OF THE SUBSTRATE ON THE PERFORMANCE AND THE DESIGN OF PLANAR KINOFORM LENSES FOR AXIAL STIGMATISM IN FINITE CONJUGATE-IMAGING, Canadian journal of physics, 71(9-10), 1993, pp. 434-441
The imaging performance of zero-thickness substrate planar kinoform le
nses designed for infinite conjugate-imaging is not affected when a pl
ane parallel plate, placed in the object space, is used as a substrate
. This invariance property does not hold good in the case of kinoform
lenses designed for finite conjugate-imaging purposes. It is shown tha
t the imaging performance of a planar kinoform lens, designed with the
assumption of zero substrate thickness for stigmatic imaging between
two axial points, is drastically changed when the lens is used in comb
ination with a plane parallel substrate of finite thickness. For ensur
ing axial stigmatism as well as 100% diffraction efficiency at the des
ired image, the thickness of the substrate has to be taken into accoun
t ab initio in the design of the kinoform lens. A seminumerical proced
ure for implementing the same is presented and the convenient amenabil
ity of our method in the design of planar kinoform lenses on substrate
of prespecified thicknesses is demonstrated with some illustrative ex
amples.