We discuss image formation in phase-shifting digital holography by
developing an analytical formulation based on the Fresnel–Kirchhoff
diffraction theory. Image-plane position and imaging magnification
are derived for general configurations in which a spherical reference
is employed. The influences of discrete sampling of the resulting
interference patterns by a CCD and numerical reconstruction on
qualities of point images are investigated. Dependence of the point
images on the ratio of the minimum fringe spacing to pixel pitch of the
CCD is numerically analyzed. Two-point resolution and magnification
are also investigated as a function of pixel numbers by a simulation
using a one-dimensional model. In experiments magnified images of
biological objects and a resolution target were reconstructed with the
same quality as by conventional microscopy.
© 2001 Optical Society of America
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