Abstract

Analytical expressions are given for a reconstructed wave front from a hologram of a point object in a general holographic system. The locations of astigmatic images are found from the radii of principal curvature of the wave front. By using the expressions of the wave front, wave and ray aberrations are derived in which the second-order terms of the direction cosines of an object and a reference and also illuminating rays, each incident upon the origin, are taken into account. These aberrations are considered to be those of off-axis zone plates.

© 1988 Optical Society of America

Nonparaxial Imaging, Magnification, and Aberration Properties in Holography*

Edwin B. Champagne
J. Opt. Soc. Am. 57(1) 51-55 (1967)

Nonparaxial theory of curved holograms

Ke-Ou Peng and Hans J. Frankena
Appl. Opt. 25(8) 1319-1326 (1986)

Analysis and interpretation of the Seidel aberration coefficients in digital holography

Daniel Claus, John Watson, and John Rodenburg
Appl. Opt. 50(34) H220-H229 (2011)

Aberration Reduction in Acoustical Holography

D. C. Winter
Appl. Opt. 10(5) 1074-1079 (1971)

Magnification and Third-Order Aberrations in Holography*

Reinhard W. Meier
J. Opt. Soc. Am. 55(8) 987-992 (1965)