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

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