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XXII.—Artificial Holograms and Astigmatism*

Published online by Cambridge University Press:  14 February 2012

G. L. Rogers
G. L. Rogers
Affiliation:
Department of Physics, University College, Dundee.
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Synopsis

Experiments in diffraction microscopy, previously described, are here continued. Special emphasis is now laid on verifying the theory by the production of an “artificial” hologram, by non-diffractive means, from data calculated for a relatively simple object. The assumed object is then reconstructed in the usual apparatus.

A type II linear zone plate of limited width is studied as a particular case of an artificial hologram. It gives rise to an unexpected black artefact, which is explained by a detailed analysis of this particular zone plate, and is shown to be due to its limited extent.

Experiments on twisting the linear zone plate skew to the reconstructing beam show that the effective focal length is affected astigmatically by a factor proportional to cos2θ, where θ is the angle of twist, for lines parallel to the axis of twist. Lines perpendicular to the axis of twist are unaffected.

The production of a hologram in an astigmatic pencil and its subsequent reconstruction while skew to a parallel beam is described. It is found that the focal length differences can be corrected in this way, but that the lateral scale factors are only partially rectified.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 63 , Issue 4 , 1952 , pp. 313 - 323
Copyright
Copyright © Royal Society of Edinburgh 1952

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References

REFERENCES TO LITERATURE

Andrews, C. L., 1951. “A Correction to the Treatment of Fresnel Diffraction”, Amer. Journ. Phys., xix, 280–284.CrossRefGoogle Scholar
Rogers, G. L., 1951. “Experiments in Diffraction Microscopy”, Proc. Roy. Soc. Edin, A, LXIII, 193–221.Google Scholar
Wood, Alexander, 1940. Acoustics, Blackie & Sons, p. 508, fig. 18.5.Google Scholar