Computational Holographic Imaging using 2d-Scalar Wave

In this work we study holography using computer simulations. We present a mathematical description of how one can produce and read a thin hologram using different kinds of waves, such as scalar (acoustic waves), vector (electromagnetic field, Maxwell-Proca fields, etc.). We construct a computer program for the scalar wave in thedimensional infra-space. For reading of the hologram, we use the Green's function formalism. With the help of computer simulations, we investigate the aberrations of image created by this procedure. We found a comma-like aberration in most of the cases studied. PACS numbers: 42.40.Jv, 42.40.Eq, 03.65.-w, 04.60.-m, 04.70.-s, 01.70.+w