Scattering and information

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Abstract

The paper discusses some aspects of scattering of electromagnetic radiation in inhomogeneous media from the point of view of information theory. A theory is developed, based on a concrete model of a typical scattering experiment, which takes into account the finiteness of the scattering volume and the coherence characteristics of the radiation; as a conclusion, the speckle noise which is superimposed over the signal is brought into evidence. More exactly, it is shown that the spurious oscillations are due to the non-vanishing character of the convolution square of the inhomogeneity distribution function at the point of truncation in the primary space. Subsequently, the structural information of scattering experiments is examined and the finite logoncontent determined. The sampling interval is established and the resolution achievable in scattering measurements is deduced; also the means by which it can be improved are examined. An analysis of the quantitative information obtainable is pursued and the desirability of filtering is suggested. Finally, the way in which the partial coherence effectively acts as a low-pass filter is studied.

Publisher

The Royal Society

Subject

General Engineering

Reference13 articles.

1. Arsac J. 1966 Fourier transforms and the theory of distributions. New Jersey: Prentice Hall.

2. Beran M. 1968 Statistical continuum theories. New York: Wiley.

3. Beran M. J. & Parrent G. B. Jr. 1964 Theory of partial coherence. New Jersey: Prentice-Hall.

4. Coherence Requirements in Holography

5. Birnboim M. H. Magill J. H. & Berry G. C. 1967 A microbeam light scattering technique for studying spherulite morphology. Proceedings ofthe SecondInterdisciplinary Conference on Electromagnetic Scattering. New York: Gordon & Breach.

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