Problems of construction of the holographic Fourier transform lens are
described. The holographic lens recorded on a spherical substrate by
two perfect recording wave fronts originated from two axial point sour
ces, is considered. To minimize the aberrations, Abbe's sine condition
for chief and axial rays of object at infinity, is satisfied. Therefo
re, the telecentric readout geometry in the image space, is presented.
A major problem is to eliminate possibly all aberrations, especially
distortion for high values of spatial frequencies. It was shown the ad
vantage of curved holographic lens which could be applied to the Fouri
er transform operation.