Computer-Based Analysis of Hologram Imagery and Aberrations I Hologram Types and Their Nonchromatic Aberrations

Abstract

Numerical values are shown for the aberrations that are present in holograms which may be constructed and reconstructed from a plane wave or point source. This study centers on four types of hologram geometries: in-line, off-axis, near-image plane, and lensless-fourier transform. The aberrations illustrated in this paper have been caused by a spatial deviation of the reconstruction beam from the location where either an ideal aberration free virtual or real image is reconstructed. In addition to the above analysis of aberrations a close parallelism between the bending characteristics of lenses and the construction geometry of holograms is noted. This analogy between lenses and holograms illustrates the flexibility with which the aberrations of a hologram may be modified by changes in the recording geometry.