IMPROVEMENT OF FRESNEL COMPUTER-GENERATED HOLOGRAMS

Computing Fresnel holograms usually requires the use of the analytic f orm of a Fourier transformed quadratic surface, because the Fresnel ap proximation leads to a convolution of the object plane and a quadratic surface. This paper presents a fast and a precise method for computin g near-field and Fresnel holograms with spherical wavelets. We demonst rate the analytic form of the Fourier transformed spherical wavelets a nd show that the Fresnel approximation is a particular case of this ne w kernel. We present experimental verifications of the Fresnel hologra ms computed with spherical wavelets and quadratic surfaces and demonst rate a better performance of the presented approximation.