Abstract

In the preliminary part of this paper, the third-order aberrations (coma) of the points of a modified holographic image are investigated by means of the second-order terms in the transverse-ray equation. In the main part, however, the deformation of the holographic image as a whole (more precisely, the deformation of the vicinity of each point) is treated: First a duality concept is used; then it is outlined in such a way that the same third-order tensor as the one describing the coma appears in the deformation in space. This third-order tensor contains both the derivative and the square of the second-order tensor that describes the astigmatism.

© 1982 Optical Society of America

Duality property in holographic imaging

W. Schumann
J. Opt. Soc. Am. 71(5) 525-528 (1981)

Holographic interferometry applied to the case of large deformations

Walter Schumann
J. Opt. Soc. Am. A 6(11) 1738-1747 (1989)

Perspective corrections for measurement of deformations by holographic interferometry

F. Lamy, C. Liegeois, and P. Meyrueis
J. Opt. Soc. Am. 72(7) 972-974 (1982)

Deformable primary mirror for a space telescope

J. G. R. Hansen, R. M. Richard, and R. R. Shannon
Appl. Opt. 21(14) 2620-2630 (1982)

Lie algebraic theory of geometrical optics and optical aberrations

Alex J. Dragt
J. Opt. Soc. Am. 72(3) 372-379 (1982)