Improvement of Fresnel computer-generated holograms

Computing Fresnel holograms usually requires the use of the analytic form of a Fourier transformed quadratic surface, because the Fresnel approximation leads to a convolution of the object plane and a quadratic surface. This paper presents a fast and a precise method for computing near-field and Fresnel holograms with spherical wavelets. We demonstrate the analytic form of the Fourier transformed spherical wavelets and show that the Fresnel approximation is a particular case of this new kernel. We present experimental verifications of the Fresnel holograms computed with spherical wavelets and quadratic surfaces and demonstrate a better performance of the presented approximation.