We describe the advantages of using diffractive (Fresnel) lenses on thin me
mbranes over conventional optics for, among others, future space telescope
projects. Fabrication methods are presented for lenses on two types of free
standing membrane up to 50 cm in size. The first is a Fresnel lens etched i
nto a thin (380-mum) glass sheet, and the second is an similar to 50-mum-th
ick polymer membrane containing a Fresnel lens made by replication process
from a specially made fused-silica master. We show optical performance anal
ysis of all the lenses that are fabricated, including a diffraction-limited
Airy spot from a 20-m-focal-length membrane lens in a diffractive telescop
e system. (C) 2001 Optical Society of America.