A new method of realizing holographically an unconstrained single spatial frequency filter which records simultaneously both amplitude and phase informations of $1/\bar{H}$ (inverse of blurred OTF) in a photographic emulsion is described.
The filter is prepared from the suitable developing process of the photographic emulsion exposed to the interference pattern of the two Fourier transforms of the blurred PSF h(x',y') and the doubly blurred PSF $h'(x',y')=h(x',y') \circledast h(x',y'),\circledast$ being convolution symbol.
The higher order terms effect appearing in the deblurred image is proven to be neglected.
To support the theory of an unconstrained single spatial frequency filter deblurring experiments are carried out for the linear motion blur, the static defocusing blur, and the transverse sinusoidal motion blur by using filters prepared experimentally. The blurred images are produced directly from the blurred optical system set up in the laboratory and the doubly blurred PSFs are prepared by imaging the blurred PSF once again in the same blurred optical system.
The deblurring results obtained is in good agreement with the prediction of the present theory.
